Tutor:

New! Get regular updates about newly solved problems via algebra.com's RSS system.

---

Recent problems solved by 'stanbon'

stanbon answered: 57288 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 7050..7079 , 7080..7109 , 7110..7139 , 7140..7169 , 7170..7199 , 7200..7229 , 7230..7259 , 7260..7289 , 7290..7319 , 7320..7349 , 7350..7379 , 7380..7409 , 7410..7439 , 7440..7469 , 7470..7499 , 7500..7529 , 7530..7559 , 7560..7589 , 7590..7619 , 7620..7649 , 7650..7679 , 7680..7709 , 7710..7739 , 7740..7769 , 7770..7799 , 7800..7829 , 7830..7859 , 7860..7889 , 7890..7919 , 7920..7949 , 7950..7979 , 7980..8009 , 8010..8039 , 8040..8069 , 8070..8099 , 8100..8129 , 8130..8159 , 8160..8189 , 8190..8219 , 8220..8249 , 8250..8279 , 8280..8309 , 8310..8339 , 8340..8369 , 8370..8399 , 8400..8429 , 8430..8459 , 8460..8489 , 8490..8519 , 8520..8549 , 8550..8579 , 8580..8609 , 8610..8639 , 8640..8669 , 8670..8699 , 8700..8729 , 8730..8759 , 8760..8789 , 8790..8819 , 8820..8849 , 8850..8879 , 8880..8909 , 8910..8939 , 8940..8969 , 8970..8999 , 9000..9029 , 9030..9059 , 9060..9089 , 9090..9119 , 9120..9149 , 9150..9179 , 9180..9209 , 9210..9239 , 9240..9269 , 9270..9299 , 9300..9329 , 9330..9359 , 9360..9389 , 9390..9419 , 9420..9449 , 9450..9479 , 9480..9509 , 9510..9539 , 9540..9569 , 9570..9599 , 9600..9629 , 9630..9659 , 9660..9689 , 9690..9719 , 9720..9749 , 9750..9779 , 9780..9809 , 9810..9839 , 9840..9869 , 9870..9899 , 9900..9929 , 9930..9959 , 9960..9989 , 9990..10019 , 10020..10049 , 10050..10079 , 10080..10109 , 10110..10139 , 10140..10169 , 10170..10199 , 10200..10229 , 10230..10259 , 10260..10289 , 10290..10319 , 10320..10349 , 10350..10379 , 10380..10409 , 10410..10439 , 10440..10469 , 10470..10499 , 10500..10529 , 10530..10559 , 10560..10589 , 10590..10619 , 10620..10649 , 10650..10679 , 10680..10709 , 10710..10739 , 10740..10769 , 10770..10799 , 10800..10829 , 10830..10859 , 10860..10889 , 10890..10919 , 10920..10949 , 10950..10979 , 10980..11009 , 11010..11039 , 11040..11069 , 11070..11099 , 11100..11129 , 11130..11159 , 11160..11189 , 11190..11219 , 11220..11249 , 11250..11279 , 11280..11309 , 11310..11339 , 11340..11369 , 11370..11399 , 11400..11429 , 11430..11459 , 11460..11489 , 11490..11519 , 11520..11549 , 11550..11579 , 11580..11609 , 11610..11639 , 11640..11669 , 11670..11699 , 11700..11729 , 11730..11759 , 11760..11789 , 11790..11819 , 11820..11849 , 11850..11879 , 11880..11909 , 11910..11939 , 11940..11969 , 11970..11999 , 12000..12029 , 12030..12059 , 12060..12089 , 12090..12119 , 12120..12149 , 12150..12179 , 12180..12209 , 12210..12239 , 12240..12269 , 12270..12299 , 12300..12329 , 12330..12359 , 12360..12389 , 12390..12419 , 12420..12449 , 12450..12479 , 12480..12509 , 12510..12539 , 12540..12569 , 12570..12599 , 12600..12629 , 12630..12659 , 12660..12689 , 12690..12719 , 12720..12749 , 12750..12779 , 12780..12809 , 12810..12839 , 12840..12869 , 12870..12899 , 12900..12929 , 12930..12959 , 12960..12989 , 12990..13019 , 13020..13049 , 13050..13079 , 13080..13109 , 13110..13139 , 13140..13169 , 13170..13199 , 13200..13229 , 13230..13259 , 13260..13289 , 13290..13319 , 13320..13349 , 13350..13379 , 13380..13409 , 13410..13439 , 13440..13469 , 13470..13499 , 13500..13529 , 13530..13559 , 13560..13589 , 13590..13619 , 13620..13649 , 13650..13679 , 13680..13709 , 13710..13739 , 13740..13769 , 13770..13799 , 13800..13829 , 13830..13859 , 13860..13889 , 13890..13919 , 13920..13949 , 13950..13979 , 13980..14009 , 14010..14039 , 14040..14069 , 14070..14099 , 14100..14129 , 14130..14159 , 14160..14189 , 14190..14219 , 14220..14249 , 14250..14279 , 14280..14309 , 14310..14339 , 14340..14369 , 14370..14399 , 14400..14429 , 14430..14459 , 14460..14489 , 14490..14519 , 14520..14549 , 14550..14579 , 14580..14609 , 14610..14639 , 14640..14669 , 14670..14699 , 14700..14729 , 14730..14759 , 14760..14789 , 14790..14819 , 14820..14849 , 14850..14879 , 14880..14909 , 14910..14939 , 14940..14969 , 14970..14999 , 15000..15029 , 15030..15059 , 15060..15089 , 15090..15119 , 15120..15149 , 15150..15179 , 15180..15209 , 15210..15239 , 15240..15269 , 15270..15299 , 15300..15329 , 15330..15359 , 15360..15389 , 15390..15419 , 15420..15449 , 15450..15479 , 15480..15509 , 15510..15539 , 15540..15569 , 15570..15599 , 15600..15629 , 15630..15659 , 15660..15689 , 15690..15719 , 15720..15749 , 15750..15779 , 15780..15809 , 15810..15839 , 15840..15869 , 15870..15899 , 15900..15929 , 15930..15959 , 15960..15989 , 15990..16019 , 16020..16049 , 16050..16079 , 16080..16109 , 16110..16139 , 16140..16169 , 16170..16199 , 16200..16229 , 16230..16259 , 16260..16289 , 16290..16319 , 16320..16349 , 16350..16379 , 16380..16409 , 16410..16439 , 16440..16469 , 16470..16499 , 16500..16529 , 16530..16559 , 16560..16589 , 16590..16619 , 16620..16649 , 16650..16679 , 16680..16709 , 16710..16739 , 16740..16769 , 16770..16799 , 16800..16829 , 16830..16859 , 16860..16889 , 16890..16919 , 16920..16949 , 16950..16979 , 16980..17009 , 17010..17039 , 17040..17069 , 17070..17099 , 17100..17129 , 17130..17159 , 17160..17189 , 17190..17219 , 17220..17249 , 17250..17279 , 17280..17309 , 17310..17339 , 17340..17369 , 17370..17399 , 17400..17429 , 17430..17459 , 17460..17489 , 17490..17519 , 17520..17549 , 17550..17579 , 17580..17609 , 17610..17639 , 17640..17669 , 17670..17699 , 17700..17729 , 17730..17759 , 17760..17789 , 17790..17819 , 17820..17849 , 17850..17879 , 17880..17909 , 17910..17939 , 17940..17969 , 17970..17999 , 18000..18029 , 18030..18059 , 18060..18089 , 18090..18119 , 18120..18149 , 18150..18179 , 18180..18209 , 18210..18239 , 18240..18269 , 18270..18299 , 18300..18329 , 18330..18359 , 18360..18389 , 18390..18419 , 18420..18449 , 18450..18479 , 18480..18509 , 18510..18539 , 18540..18569 , 18570..18599 , 18600..18629 , 18630..18659 , 18660..18689 , 18690..18719 , 18720..18749 , 18750..18779 , 18780..18809 , 18810..18839 , 18840..18869 , 18870..18899 , 18900..18929 , 18930..18959 , 18960..18989 , 18990..19019 , 19020..19049 , 19050..19079 , 19080..19109 , 19110..19139 , 19140..19169 , 19170..19199 , 19200..19229 , 19230..19259 , 19260..19289 , 19290..19319 , 19320..19349 , 19350..19379 , 19380..19409 , 19410..19439 , 19440..19469 , 19470..19499 , 19500..19529 , 19530..19559 , 19560..19589 , 19590..19619 , 19620..19649 , 19650..19679 , 19680..19709 , 19710..19739 , 19740..19769 , 19770..19799 , 19800..19829 , 19830..19859 , 19860..19889 , 19890..19919 , 19920..19949 , 19950..19979 , 19980..20009 , 20010..20039 , 20040..20069 , 20070..20099 , 20100..20129 , 20130..20159 , 20160..20189 , 20190..20219 , 20220..20249 , 20250..20279 , 20280..20309 , 20310..20339 , 20340..20369 , 20370..20399 , 20400..20429 , 20430..20459 , 20460..20489 , 20490..20519 , 20520..20549 , 20550..20579 , 20580..20609 , 20610..20639 , 20640..20669 , 20670..20699 , 20700..20729 , 20730..20759 , 20760..20789 , 20790..20819 , 20820..20849 , 20850..20879 , 20880..20909 , 20910..20939 , 20940..20969 , 20970..20999 , 21000..21029 , 21030..21059 , 21060..21089 , 21090..21119 , 21120..21149 , 21150..21179 , 21180..21209 , 21210..21239 , 21240..21269 , 21270..21299 , 21300..21329 , 21330..21359 , 21360..21389 , 21390..21419 , 21420..21449 , 21450..21479 , 21480..21509 , 21510..21539 , 21540..21569 , 21570..21599 , 21600..21629 , 21630..21659 , 21660..21689 , 21690..21719 , 21720..21749 , 21750..21779 , 21780..21809 , 21810..21839 , 21840..21869 , 21870..21899 , 21900..21929 , 21930..21959 , 21960..21989 , 21990..22019 , 22020..22049 , 22050..22079 , 22080..22109 , 22110..22139 , 22140..22169 , 22170..22199 , 22200..22229 , 22230..22259 , 22260..22289 , 22290..22319 , 22320..22349 , 22350..22379 , 22380..22409 , 22410..22439 , 22440..22469 , 22470..22499 , 22500..22529 , 22530..22559 , 22560..22589 , 22590..22619 , 22620..22649 , 22650..22679 , 22680..22709 , 22710..22739 , 22740..22769 , 22770..22799 , 22800..22829 , 22830..22859 , 22860..22889 , 22890..22919 , 22920..22949 , 22950..22979 , 22980..23009 , 23010..23039 , 23040..23069 , 23070..23099 , 23100..23129 , 23130..23159 , 23160..23189 , 23190..23219 , 23220..23249 , 23250..23279 , 23280..23309 , 23310..23339 , 23340..23369 , 23370..23399 , 23400..23429 , 23430..23459 , 23460..23489 , 23490..23519 , 23520..23549 , 23550..23579 , 23580..23609 , 23610..23639 , 23640..23669 , 23670..23699 , 23700..23729 , 23730..23759 , 23760..23789 , 23790..23819 , 23820..23849 , 23850..23879 , 23880..23909 , 23910..23939 , 23940..23969 , 23970..23999 , 24000..24029 , 24030..24059 , 24060..24089 , 24090..24119 , 24120..24149 , 24150..24179 , 24180..24209 , 24210..24239 , 24240..24269 , 24270..24299 , 24300..24329 , 24330..24359 , 24360..24389 , 24390..24419 , 24420..24449 , 24450..24479 , 24480..24509 , 24510..24539 , 24540..24569 , 24570..24599 , 24600..24629 , 24630..24659 , 24660..24689 , 24690..24719 , 24720..24749 , 24750..24779 , 24780..24809 , 24810..24839 , 24840..24869 , 24870..24899 , 24900..24929 , 24930..24959 , 24960..24989 , 24990..25019 , 25020..25049 , 25050..25079 , 25080..25109 , 25110..25139 , 25140..25169 , 25170..25199 , 25200..25229 , 25230..25259 , 25260..25289 , 25290..25319 , 25320..25349 , 25350..25379 , 25380..25409 , 25410..25439 , 25440..25469 , 25470..25499 , 25500..25529 , 25530..25559 , 25560..25589 , 25590..25619 , 25620..25649 , 25650..25679 , 25680..25709 , 25710..25739 , 25740..25769 , 25770..25799 , 25800..25829 , 25830..25859 , 25860..25889 , 25890..25919 , 25920..25949 , 25950..25979 , 25980..26009 , 26010..26039 , 26040..26069 , 26070..26099 , 26100..26129 , 26130..26159 , 26160..26189 , 26190..26219 , 26220..26249 , 26250..26279 , 26280..26309 , 26310..26339 , 26340..26369 , 26370..26399 , 26400..26429 , 26430..26459 , 26460..26489 , 26490..26519 , 26520..26549 , 26550..26579 , 26580..26609 , 26610..26639 , 26640..26669 , 26670..26699 , 26700..26729 , 26730..26759 , 26760..26789 , 26790..26819 , 26820..26849 , 26850..26879 , 26880..26909 , 26910..26939 , 26940..26969 , 26970..26999 , 27000..27029 , 27030..27059 , 27060..27089 , 27090..27119 , 27120..27149 , 27150..27179 , 27180..27209 , 27210..27239 , 27240..27269 , 27270..27299 , 27300..27329 , 27330..27359 , 27360..27389 , 27390..27419 , 27420..27449 , 27450..27479 , 27480..27509 , 27510..27539 , 27540..27569 , 27570..27599 , 27600..27629 , 27630..27659 , 27660..27689 , 27690..27719 , 27720..27749 , 27750..27779 , 27780..27809 , 27810..27839 , 27840..27869 , 27870..27899 , 27900..27929 , 27930..27959 , 27960..27989 , 27990..28019 , 28020..28049 , 28050..28079 , 28080..28109 , 28110..28139 , 28140..28169 , 28170..28199 , 28200..28229 , 28230..28259 , 28260..28289 , 28290..28319 , 28320..28349 , 28350..28379 , 28380..28409 , 28410..28439 , 28440..28469 , 28470..28499 , 28500..28529 , 28530..28559 , 28560..28589 , 28590..28619 , 28620..28649 , 28650..28679 , 28680..28709 , 28710..28739 , 28740..28769 , 28770..28799 , 28800..28829 , 28830..28859 , 28860..28889 , 28890..28919 , 28920..28949 , 28950..28979 , 28980..29009 , 29010..29039 , 29040..29069 , 29070..29099 , 29100..29129 , 29130..29159 , 29160..29189 , 29190..29219 , 29220..29249 , 29250..29279 , 29280..29309 , 29310..29339 , 29340..29369 , 29370..29399 , 29400..29429 , 29430..29459 , 29460..29489 , 29490..29519 , 29520..29549 , 29550..29579 , 29580..29609 , 29610..29639 , 29640..29669 , 29670..29699 , 29700..29729 , 29730..29759 , 29760..29789 , 29790..29819 , 29820..29849 , 29850..29879 , 29880..29909 , 29910..29939 , 29940..29969 , 29970..29999 , 30000..30029 , 30030..30059 , 30060..30089 , 30090..30119 , 30120..30149 , 30150..30179 , 30180..30209 , 30210..30239 , 30240..30269 , 30270..30299 , 30300..30329 , 30330..30359 , 30360..30389 , 30390..30419 , 30420..30449 , 30450..30479 , 30480..30509 , 30510..30539 , 30540..30569 , 30570..30599 , 30600..30629 , 30630..30659 , 30660..30689 , 30690..30719 , 30720..30749 , 30750..30779 , 30780..30809 , 30810..30839 , 30840..30869 , 30870..30899 , 30900..30929 , 30930..30959 , 30960..30989 , 30990..31019 , 31020..31049 , 31050..31079 , 31080..31109 , 31110..31139 , 31140..31169 , 31170..31199 , 31200..31229 , 31230..31259 , 31260..31289 , 31290..31319 , 31320..31349 , 31350..31379 , 31380..31409 , 31410..31439 , 31440..31469 , 31470..31499 , 31500..31529 , 31530..31559 , 31560..31589 , 31590..31619 , 31620..31649 , 31650..31679 , 31680..31709 , 31710..31739 , 31740..31769 , 31770..31799 , 31800..31829 , 31830..31859 , 31860..31889 , 31890..31919 , 31920..31949 , 31950..31979 , 31980..32009 , 32010..32039 , 32040..32069 , 32070..32099 , 32100..32129 , 32130..32159 , 32160..32189 , 32190..32219 , 32220..32249 , 32250..32279 , 32280..32309 , 32310..32339 , 32340..32369 , 32370..32399 , 32400..32429 , 32430..32459 , 32460..32489 , 32490..32519 , 32520..32549 , 32550..32579 , 32580..32609 , 32610..32639 , 32640..32669 , 32670..32699 , 32700..32729 , 32730..32759 , 32760..32789 , 32790..32819 , 32820..32849 , 32850..32879 , 32880..32909 , 32910..32939 , 32940..32969 , 32970..32999 , 33000..33029 , 33030..33059 , 33060..33089 , 33090..33119 , 33120..33149 , 33150..33179 , 33180..33209 , 33210..33239 , 33240..33269 , 33270..33299 , 33300..33329 , 33330..33359 , 33360..33389 , 33390..33419 , 33420..33449 , 33450..33479 , 33480..33509 , 33510..33539 , 33540..33569 , 33570..33599 , 33600..33629 , 33630..33659 , 33660..33689 , 33690..33719 , 33720..33749 , 33750..33779 , 33780..33809 , 33810..33839 , 33840..33869 , 33870..33899 , 33900..33929 , 33930..33959 , 33960..33989 , 33990..34019 , 34020..34049 , 34050..34079 , 34080..34109 , 34110..34139 , 34140..34169 , 34170..34199 , 34200..34229 , 34230..34259 , 34260..34289 , 34290..34319 , 34320..34349 , 34350..34379 , 34380..34409 , 34410..34439 , 34440..34469 , 34470..34499 , 34500..34529 , 34530..34559 , 34560..34589 , 34590..34619 , 34620..34649 , 34650..34679 , 34680..34709 , 34710..34739 , 34740..34769 , 34770..34799 , 34800..34829 , 34830..34859 , 34860..34889 , 34890..34919 , 34920..34949 , 34950..34979 , 34980..35009 , 35010..35039 , 35040..35069 , 35070..35099 , 35100..35129 , 35130..35159 , 35160..35189 , 35190..35219 , 35220..35249 , 35250..35279 , 35280..35309 , 35310..35339 , 35340..35369 , 35370..35399 , 35400..35429 , 35430..35459 , 35460..35489 , 35490..35519 , 35520..35549 , 35550..35579 , 35580..35609 , 35610..35639 , 35640..35669 , 35670..35699 , 35700..35729 , 35730..35759 , 35760..35789 , 35790..35819 , 35820..35849 , 35850..35879 , 35880..35909 , 35910..35939 , 35940..35969 , 35970..35999 , 36000..36029 , 36030..36059 , 36060..36089 , 36090..36119 , 36120..36149 , 36150..36179 , 36180..36209 , 36210..36239 , 36240..36269 , 36270..36299 , 36300..36329 , 36330..36359 , 36360..36389 , 36390..36419 , 36420..36449 , 36450..36479 , 36480..36509 , 36510..36539 , 36540..36569 , 36570..36599 , 36600..36629 , 36630..36659 , 36660..36689 , 36690..36719 , 36720..36749 , 36750..36779 , 36780..36809 , 36810..36839 , 36840..36869 , 36870..36899 , 36900..36929 , 36930..36959 , 36960..36989 , 36990..37019 , 37020..37049 , 37050..37079 , 37080..37109 , 37110..37139 , 37140..37169 , 37170..37199 , 37200..37229 , 37230..37259 , 37260..37289 , 37290..37319 , 37320..37349 , 37350..37379 , 37380..37409 , 37410..37439 , 37440..37469 , 37470..37499 , 37500..37529 , 37530..37559 , 37560..37589 , 37590..37619 , 37620..37649 , 37650..37679 , 37680..37709 , 37710..37739 , 37740..37769 , 37770..37799 , 37800..37829 , 37830..37859 , 37860..37889 , 37890..37919 , 37920..37949 , 37950..37979 , 37980..38009 , 38010..38039 , 38040..38069 , 38070..38099 , 38100..38129 , 38130..38159 , 38160..38189 , 38190..38219 , 38220..38249 , 38250..38279 , 38280..38309 , 38310..38339 , 38340..38369 , 38370..38399 , 38400..38429 , 38430..38459 , 38460..38489 , 38490..38519 , 38520..38549 , 38550..38579 , 38580..38609 , 38610..38639 , 38640..38669 , 38670..38699 , 38700..38729 , 38730..38759 , 38760..38789 , 38790..38819 , 38820..38849 , 38850..38879 , 38880..38909 , 38910..38939 , 38940..38969 , 38970..38999 , 39000..39029 , 39030..39059 , 39060..39089 , 39090..39119 , 39120..39149 , 39150..39179 , 39180..39209 , 39210..39239 , 39240..39269 , 39270..39299 , 39300..39329 , 39330..39359 , 39360..39389 , 39390..39419 , 39420..39449 , 39450..39479 , 39480..39509 , 39510..39539 , 39540..39569 , 39570..39599 , 39600..39629 , 39630..39659 , 39660..39689 , 39690..39719 , 39720..39749 , 39750..39779 , 39780..39809 , 39810..39839 , 39840..39869 , 39870..39899 , 39900..39929 , 39930..39959 , 39960..39989 , 39990..40019 , 40020..40049 , 40050..40079 , 40080..40109 , 40110..40139 , 40140..40169 , 40170..40199 , 40200..40229 , 40230..40259 , 40260..40289 , 40290..40319 , 40320..40349 , 40350..40379 , 40380..40409 , 40410..40439 , 40440..40469 , 40470..40499 , 40500..40529 , 40530..40559 , 40560..40589 , 40590..40619 , 40620..40649 , 40650..40679 , 40680..40709 , 40710..40739 , 40740..40769 , 40770..40799 , 40800..40829 , 40830..40859 , 40860..40889 , 40890..40919 , 40920..40949 , 40950..40979 , 40980..41009 , 41010..41039 , 41040..41069 , 41070..41099 , 41100..41129 , 41130..41159 , 41160..41189 , 41190..41219 , 41220..41249 , 41250..41279 , 41280..41309 , 41310..41339 , 41340..41369 , 41370..41399 , 41400..41429 , 41430..41459 , 41460..41489 , 41490..41519 , 41520..41549 , 41550..41579 , 41580..41609 , 41610..41639 , 41640..41669 , 41670..41699 , 41700..41729 , 41730..41759 , 41760..41789 , 41790..41819 , 41820..41849 , 41850..41879 , 41880..41909 , 41910..41939 , 41940..41969 , 41970..41999 , 42000..42029 , 42030..42059 , 42060..42089 , 42090..42119 , 42120..42149 , 42150..42179 , 42180..42209 , 42210..42239 , 42240..42269 , 42270..42299 , 42300..42329 , 42330..42359 , 42360..42389 , 42390..42419 , 42420..42449 , 42450..42479 , 42480..42509 , 42510..42539 , 42540..42569 , 42570..42599 , 42600..42629 , 42630..42659 , 42660..42689 , 42690..42719 , 42720..42749 , 42750..42779 , 42780..42809 , 42810..42839 , 42840..42869 , 42870..42899 , 42900..42929 , 42930..42959 , 42960..42989 , 42990..43019 , 43020..43049 , 43050..43079 , 43080..43109 , 43110..43139 , 43140..43169 , 43170..43199 , 43200..43229 , 43230..43259 , 43260..43289 , 43290..43319 , 43320..43349 , 43350..43379 , 43380..43409 , 43410..43439 , 43440..43469 , 43470..43499 , 43500..43529 , 43530..43559 , 43560..43589 , 43590..43619 , 43620..43649 , 43650..43679 , 43680..43709 , 43710..43739 , 43740..43769 , 43770..43799 , 43800..43829 , 43830..43859 , 43860..43889 , 43890..43919 , 43920..43949 , 43950..43979 , 43980..44009 , 44010..44039 , 44040..44069 , 44070..44099 , 44100..44129 , 44130..44159 , 44160..44189 , 44190..44219 , 44220..44249 , 44250..44279 , 44280..44309 , 44310..44339 , 44340..44369 , 44370..44399 , 44400..44429 , 44430..44459 , 44460..44489 , 44490..44519 , 44520..44549 , 44550..44579 , 44580..44609 , 44610..44639 , 44640..44669 , 44670..44699 , 44700..44729 , 44730..44759 , 44760..44789 , 44790..44819 , 44820..44849 , 44850..44879 , 44880..44909 , 44910..44939 , 44940..44969 , 44970..44999 , 45000..45029 , 45030..45059 , 45060..45089 , 45090..45119 , 45120..45149 , 45150..45179 , 45180..45209 , 45210..45239 , 45240..45269 , 45270..45299 , 45300..45329 , 45330..45359 , 45360..45389 , 45390..45419 , 45420..45449 , 45450..45479 , 45480..45509 , 45510..45539 , 45540..45569 , 45570..45599 , 45600..45629 , 45630..45659 , 45660..45689 , 45690..45719 , 45720..45749 , 45750..45779 , 45780..45809 , 45810..45839 , 45840..45869 , 45870..45899 , 45900..45929 , 45930..45959 , 45960..45989 , 45990..46019 , 46020..46049 , 46050..46079 , 46080..46109 , 46110..46139 , 46140..46169 , 46170..46199 , 46200..46229 , 46230..46259 , 46260..46289 , 46290..46319 , 46320..46349 , 46350..46379 , 46380..46409 , 46410..46439 , 46440..46469 , 46470..46499 , 46500..46529 , 46530..46559 , 46560..46589 , 46590..46619 , 46620..46649 , 46650..46679 , 46680..46709 , 46710..46739 , 46740..46769 , 46770..46799 , 46800..46829 , 46830..46859 , 46860..46889 , 46890..46919 , 46920..46949 , 46950..46979 , 46980..47009 , 47010..47039 , 47040..47069 , 47070..47099 , 47100..47129 , 47130..47159 , 47160..47189 , 47190..47219 , 47220..47249 , 47250..47279 , 47280..47309 , 47310..47339 , 47340..47369 , 47370..47399 , 47400..47429 , 47430..47459 , 47460..47489 , 47490..47519 , 47520..47549 , 47550..47579 , 47580..47609 , 47610..47639 , 47640..47669 , 47670..47699 , 47700..47729 , 47730..47759 , 47760..47789 , 47790..47819 , 47820..47849 , 47850..47879 , 47880..47909 , 47910..47939 , 47940..47969 , 47970..47999 , 48000..48029 , 48030..48059 , 48060..48089 , 48090..48119 , 48120..48149 , 48150..48179 , 48180..48209 , 48210..48239 , 48240..48269 , 48270..48299 , 48300..48329 , 48330..48359 , 48360..48389 , 48390..48419 , 48420..48449 , 48450..48479 , 48480..48509 , 48510..48539 , 48540..48569 , 48570..48599 , 48600..48629 , 48630..48659 , 48660..48689 , 48690..48719 , 48720..48749 , 48750..48779 , 48780..48809 , 48810..48839 , 48840..48869 , 48870..48899 , 48900..48929 , 48930..48959 , 48960..48989 , 48990..49019 , 49020..49049 , 49050..49079 , 49080..49109 , 49110..49139 , 49140..49169 , 49170..49199 , 49200..49229 , 49230..49259 , 49260..49289 , 49290..49319 , 49320..49349 , 49350..49379 , 49380..49409 , 49410..49439 , 49440..49469 , 49470..49499 , 49500..49529 , 49530..49559 , 49560..49589 , 49590..49619 , 49620..49649 , 49650..49679 , 49680..49709 , 49710..49739 , 49740..49769 , 49770..49799 , 49800..49829 , 49830..49859 , 49860..49889 , 49890..49919 , 49920..49949 , 49950..49979 , 49980..50009 , 50010..50039 , 50040..50069 , 50070..50099 , 50100..50129 , 50130..50159 , 50160..50189 , 50190..50219 , 50220..50249 , 50250..50279 , 50280..50309 , 50310..50339 , 50340..50369 , 50370..50399 , 50400..50429 , 50430..50459 , 50460..50489 , 50490..50519 , 50520..50549 , 50550..50579 , 50580..50609 , 50610..50639 , 50640..50669 , 50670..50699 , 50700..50729 , 50730..50759 , 50760..50789 , 50790..50819 , 50820..50849 , 50850..50879 , 50880..50909 , 50910..50939 , 50940..50969 , 50970..50999 , 51000..51029 , 51030..51059 , 51060..51089 , 51090..51119 , 51120..51149 , 51150..51179 , 51180..51209 , 51210..51239 , 51240..51269 , 51270..51299 , 51300..51329 , 51330..51359 , 51360..51389 , 51390..51419 , 51420..51449 , 51450..51479 , 51480..51509 , 51510..51539 , 51540..51569 , 51570..51599 , 51600..51629 , 51630..51659 , 51660..51689 , 51690..51719 , 51720..51749 , 51750..51779 , 51780..51809 , 51810..51839 , 51840..51869 , 51870..51899 , 51900..51929 , 51930..51959 , 51960..51989 , 51990..52019 , 52020..52049 , 52050..52079 , 52080..52109 , 52110..52139 , 52140..52169 , 52170..52199 , 52200..52229 , 52230..52259 , 52260..52289 , 52290..52319 , 52320..52349 , 52350..52379 , 52380..52409 , 52410..52439 , 52440..52469 , 52470..52499 , 52500..52529 , 52530..52559 , 52560..52589 , 52590..52619 , 52620..52649 , 52650..52679 , 52680..52709 , 52710..52739 , 52740..52769 , 52770..52799 , 52800..52829 , 52830..52859 , 52860..52889 , 52890..52919 , 52920..52949 , 52950..52979 , 52980..53009 , 53010..53039 , 53040..53069 , 53070..53099 , 53100..53129 , 53130..53159 , 53160..53189 , 53190..53219 , 53220..53249 , 53250..53279 , 53280..53309 , 53310..53339 , 53340..53369 , 53370..53399 , 53400..53429 , 53430..53459 , 53460..53489 , 53490..53519 , 53520..53549 , 53550..53579 , 53580..53609 , 53610..53639 , 53640..53669 , 53670..53699 , 53700..53729 , 53730..53759 , 53760..53789 , 53790..53819 , 53820..53849 , 53850..53879 , 53880..53909 , 53910..53939 , 53940..53969 , 53970..53999 , 54000..54029 , 54030..54059 , 54060..54089 , 54090..54119 , 54120..54149 , 54150..54179 , 54180..54209 , 54210..54239 , 54240..54269 , 54270..54299 , 54300..54329 , 54330..54359 , 54360..54389 , 54390..54419 , 54420..54449 , 54450..54479 , 54480..54509 , 54510..54539 , 54540..54569 , 54570..54599 , 54600..54629 , 54630..54659 , 54660..54689 , 54690..54719 , 54720..54749 , 54750..54779 , 54780..54809 , 54810..54839 , 54840..54869 , 54870..54899 , 54900..54929 , 54930..54959 , 54960..54989 , 54990..55019 , 55020..55049 , 55050..55079 , 55080..55109 , 55110..55139 , 55140..55169 , 55170..55199 , 55200..55229 , 55230..55259 , 55260..55289 , 55290..55319 , 55320..55349 , 55350..55379 , 55380..55409 , 55410..55439 , 55440..55469 , 55470..55499 , 55500..55529 , 55530..55559 , 55560..55589 , 55590..55619 , 55620..55649 , 55650..55679 , 55680..55709 , 55710..55739 , 55740..55769 , 55770..55799 , 55800..55829 , 55830..55859 , 55860..55889 , 55890..55919 , 55920..55949 , 55950..55979 , 55980..56009 , 56010..56039 , 56040..56069 , 56070..56099 , 56100..56129 , 56130..56159 , 56160..56189 , 56190..56219 , 56220..56249 , 56250..56279 , 56280..56309 , 56310..56339 , 56340..56369 , 56370..56399 , 56400..56429 , 56430..56459 , 56460..56489 , 56490..56519 , 56520..56549 , 56550..56579 , 56580..56609 , 56610..56639 , 56640..56669 , 56670..56699 , 56700..56729 , 56730..56759 , 56760..56789 , 56790..56819 , 56820..56849 , 56850..56879 , 56880..56909 , 56910..56939 , 56940..56969 , 56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269 , 57270..57299, >>Next

Miscellaneous_Word_Problems/255611: The inital height a ball is thrown in the air is 80 feet, velocity 64 ft. per sec. and g is 32 feet/sec squared. I am supposed to figure out when it will hit the ground in 2 different ways. 1 solutions Answer 187825 by stanbon(57361)   on 2010-01-11 08:44:09 (Show Source): You can put this solution on YOUR website! The initial height a ball is thrown in the air is 80 feet, velocity 64 ft. per sec. and g is 32 feet/sec squared. I am supposed to figure out when it will hit the ground in 2 different ways. --------------- h(t) = -16t^2 + vot + so --- The height is zero when the ball hits the ground: Solve -16t^2+64t+80 = 0 Divide thru be -16 to get: t^2 - 4t -5 = 0 Factor: (t-5)(t+1) = 0 Positive solution: t = 5 seconds ------------------------- Graph the equations to see when the ball hits the ground: =================================================== Cheers, Stan H.

Circles/255612: what is the circumference of a circle with a radius of 3.5 yards and use 3.14 for pie? 1 solutions Answer 187820 by stanbon(57361)   on 2010-01-11 08:34:03 (Show Source): You can put this solution on YOUR website! what is the circumference of a circle with a radius of 3.5 yards and use 3.14 for pie? ----- C = 2*pi*r C = 2*3.14*3.5 = 21.98 yds. ================================ Cheers, Stan H.

Graphs/255609: i need help with this 0.05x - 0.03y =9 I need to find m and b the formulas are: m=-A/B B=C/B tell me if you can't solve it. 1 solutions Answer 187819 by stanbon(57361)   on 2010-01-11 08:31:58 (Show Source): You can put this solution on YOUR website! i need help with this 0.05x - 0.03y =9 I need to find m and b the formulas are: m=-A/B b=C/B ------------------ A = 0.05 B = -0.03 C = 9 --- m = -A/B = -0.05/-0.03 = (5/3) --- b = C/B = 9/-0.03 = -300 ------------------------------ Cheers, Stan H.

Equations/255533: how do i solve s + 1.3 = 18 1 solutions Answer 187760 by stanbon(57361)   on 2010-01-10 21:51:05 (Show Source): You can put this solution on YOUR website! solve s + 1.3 = 18 Subtract 1.3 from both sides to get: s = 16.7 ================= Cheers, Stan H.

Rational-functions/255532: Please answer the following showing your steps on how you got the answer. Use the explicit formula a[n]=a[1]+(n-1)d to find the 150th term of the sequence below. 19,25,31,37,43, ... 1 solutions Answer 187758 by stanbon(57361)   on 2010-01-10 21:46:12 (Show Source): You can put this solution on YOUR website! Use the explicit formula a[n]=a[1]+(n-1)d to find the 150th term of the sequence below. 19,25,31,37,43, ... ----------------------------------- a(1) = 19 d is the difference between any two terms: 25-19 = 6 a(n) is the nth term -------------------------------- Ans: a(150) = 19 + (149)6 = 19 + 894 = 913 =========================================== Cheers, Stan H.

Miscellaneous_Word_Problems/255529: A stone is thrown horizontally off a cliff with a velocity of 10 m/s. If it takes 5 seconds for the stone to hit the ground, how his is the cliff? 1 solutions Answer 187756 by stanbon(57361)   on 2010-01-10 21:36:23 (Show Source): You can put this solution on YOUR website! A stone is thrown horizontally off a cliff with a velocity of 10 m/s. If it takes 5 seconds for the stone to hit the ground, how his is the cliff? ------------------ s(t) = -9.8t^2 + vot + so --- so is the height of the cliff. s(t) is 0 when the stone hits the ground. Since the stone is not thrown up and down vo is 0. ------------------------- Find 9.8(5)^2 = 9.8*25 = 245 meters (height of the cliff) Cheers, Stan H. ==========================================================

Expressions-with-variables/255525: A biologist counted the number of white tail deer in a 100 acre parcel of land in a preserve and found 12 deers. find the constant of variation k 1 solutions Answer 187754 by stanbon(57361)   on 2010-01-10 21:21:41 (Show Source): You can put this solution on YOUR website! A biologist counted the number of white tail deer in a 100 acre parcel of land in a preserve and found 12 deer. find the constant of variation k ----------------------------- Number of deer and area of land are directly related: # of deer = k(area) 12 = k(100) k = 0.12 -------------- Cheers, Stan H.

Quadratic_Equations/255522: Identify the vertex and the y-intercept of the graph of the function y = -3(x + 2)^2 + 5 1 solutions Answer 187750 by stanbon(57361)   on 2010-01-10 21:12:29 (Show Source): You can put this solution on YOUR website! Identify the vertex and the y-intercept of the graph of the function y = -3(x + 2)^2 + 5 ---------------- The function is in the vertex form y = a(x-h)^2+k where the vertex is (h,k). --- Your problem: vertex is (-2,5) When x = zero, y = -3*2*2+5 = -7 so the y-intercept is (0,-7. ---- Since a = -3 is negative the parabola opens downward. ------------------------------------------------ ====================================================== Cheers, stan H.

Expressions-with-variables/255481: solve by addtion method 5x-3y=16 4x-2y=14 1 solutions Answer 187724 by stanbon(57361)   on 2010-01-10 19:45:06 (Show Source): You can put this solution on YOUR website! solve by addtion method 5x-3y=16 4x-2y=14 --------------- Multiply the 1st Eq. by 4 Multiply the 2nd Eq. by -5 --- 20x - 12y = 64 -20x + 10y = -70 ------------------- Add and solve for "y" -2y = -6 y = 3 --- Since 4x-2y = 14, 4x - 2*3 = 14 4x = 20 x = 5 ================= Cheers, Stan H.

Numbers_Word_Problems/255458: Find 2 consecutive 2 digit numbers whose product is 812. 1 solutions Answer 187704 by stanbon(57361)   on 2010-01-10 18:55:24 (Show Source): You can put this solution on YOUR website! Find 2 consecutive 2 digit numbers whose product is 812. ---- 1st: x 2nd: x+1 ----------------- Equation: x(x+1) = 812 x^2 + x - 812 = 0 (x-28)(x+29) = 0 --- If x = 28, x+1 = 29 --- If x = -29, x+1 = -28 =========================== Cheers, Stan H.

Rational-functions/255455: 19. 11/4-x + 2x/16-x^2 (1 point) a. x-1/2x+3 b. 44+13x/(4-x)(4+x c. 3x^2+2x-3/2x(x+3) 1 solutions Answer 187699 by stanbon(57361)   on 2010-01-10 18:43:45 (Show Source): You can put this solution on YOUR website! 11/(4-x) + 2x/(16-x^2) --- gcd: 16-x^2 --- (11(4+x) + 2x)/(16-x^2) --- = (44+13x)/(16-x^2) --- = (44-13x)/[(4-x)(4+x)[ =========================== Cheers, Stan H. ==================== a. x-1/2x+3 b. 44+13x/(4-x)(4+x c. 3x^2+2x-3/2x(x+3)

Angles/255452: The measure of the supplement of an angle exceeds three times the measure of the complement of the angle by 12. Find the measure of half of the supplement. 1 solutions Answer 187695 by stanbon(57361)   on 2010-01-10 18:37:21 (Show Source): You can put this solution on YOUR website! The measure of the supplement of an angle exceeds three times the measure of the complement of the angle by 12. Find the measure of half of the supplement. ------------------------------------ Let the angle be "x". Supplement is 180-x complement is 90-x --------------------------- Equation: 180-x - 3(90-x) = 12 180-x - 270 + 3x = 12 2x = 102 x = 51 degrees --------------------- The supplement is 180-51 = 129 degrees --- Final answer: half the supplement = 129/2 = 64.5 degrees ============================================================== Cheers, Stan H.

Rate-of-work-word-problems/255439: Brett usually takes 50 min. to groom the horses. After working 10 min., he was joined by Angela and they finished the grooming in 15 min. How long would it have taken Angela working alone? 1 solutions Answer 187692 by stanbon(57361)   on 2010-01-10 18:30:14 (Show Source): You can put this solution on YOUR website! Brett usually takes 50 min. to groom the horses. After working 10 min., he was joined by Angela and they finished the grooming in 15 min. How long would it have taken Angela working alone? ----- Brett DATA: time = 50 min/job ; rate = 1/50 job/min ------------------------------------------ Angela DATA time = x min/job ; rate = 1/x job/min ------------------------------------------ Equation: Note: together rate = 1/50 + 1/x = (x+50)/50x job/min ---- Brett work alone + together work = 1 job done (1/50)(10) + [(x+50)/50x](15) = 1 (1/5) + (15x + 750)/50x = 1 (15x + 750)/50x = 4/5 (15x+750)/10x = 4 40x = 15x+750 25x = 750 x = 30 minutes (amount of time Angela would require to do the job alone) ============================================= Cheers, Stan H.

Subset/255399: suppose C is a subset of D and D is a subset of C. if n(C)=5, find n(D) 1 solutions Answer 187652 by stanbon(57361)   on 2010-01-10 16:22:12 (Show Source): You can put this solution on YOUR website! The two sets have the same elements. n(D) = 5 ================================= Cheers, Stan H.

Triangles/255400: The ratio of the angle measures in a triangle is 1 : 6 : 13. What is the measure of each angle? 1 solutions Answer 187651 by stanbon(57361)   on 2010-01-10 16:19:52 (Show Source): You can put this solution on YOUR website! The ratio of the angle measures in a triangle is 1 : 6 : 13. What is the measure of each angle? ----------------------- Equation: x + 6x + 13x = 180 degrees 20x = 180 x = 9 --- smallest angle : 9 degrees middle angle: 6x = 6*9 = 54 degrees largest angle: 13x = 13*9 = 117 degrees ============================================ Cheers, Stan H.

Graphs/255401: in the equation 6.5x + 1.4= 59, what is the value of x when y=5? *i dont understand the question :/ 1 solutions Answer 187650 by stanbon(57361)   on 2010-01-10 16:14:40 (Show Source): You can put this solution on YOUR website! 6.5x + 1.4= 59, what is the value of x when y=5? ---- Right. There is no "y". =============================== Cheers, Stan H.

Probability-and-statistics/255362: The probability that an American CEO can transact business in a foreign language is .20. Ten American CEOs are chosen at random. (a) What is the probability that none can transact business in a foreign language? (b) That at least two can? (c) That all 10 can? (d) Sketch the probability distribution and discuss its appearance. 1 solutions Answer 187646 by stanbon(57361)   on 2010-01-10 15:30:42 (Show Source): You can put this solution on YOUR website! The probability that an American CEO can transact business in a foreign language is .20. Ten American CEOs are chosen at random. --- P(a CEO cannot transact business) = 0.80 It's a binomial problem with n = 10 ; p = 0.8 ; x varies ------------------------------------------------------------------ (a) What is the probability that none can transact business in a foreign language? P(x = 0) = 0.8^10 = 0.1074 ------------------------------------- (b) That at least two can? P(x >=2) = 1 - binomcdf(10,0.2,1) = 0.6242 ------------------------------------- (c) That all 10 can? P(x=10) = 0.2^10 = 0.000000102 ==================================== Cheers, Stan H. (d) Sketch the probability distribution and discuss its appearance.

Probability-and-statistics/255312: The mean arrival rate of flights at O Hare Airport in marginal weather is 195 Flights per hour. To increase arrivals, a new air traffic control procedure is implemented. In the next 30 days of marginal weather the mean arrival rate is 200 flights per hour with a standard deviation of 13 flights. A) What is the appropriate null and alternate hypothesis to determine if there has been a significant increase in the mean number of arrivals per hour? B) Using alpha 0.025, what is the critical value for the hypotheses test? C) What is the test statistic for the hypothesis test? 1 solutions Answer 187629 by stanbon(57361)   on 2010-01-10 14:31:09 (Show Source): You can put this solution on YOUR website! The mean arrival rate of flights at O Hare Airport in marginal weather is 195 Flights per hour. To increase arrivals, a new air traffic control procedure is implemented. In the next 30 days of marginal weather the mean arrival rate is 200 flights per hour with a standard deviation of 13 flights. A) What is the appropriate null and alternate hypothesis to determine if there has been a significant increase in the mean number of arrivals per hour? Ho: u = 195 Ha: u > 195 ----- B) Using alpha 0.025, what is the critical value for the hypotheses test? Right-tail test with alpha = 2.5%: z = 1.96 ------------------------------------------------- C) What is the test statistic for the hypothesis test? z(200) = (200-195)/13 = 0.3846 ---- Conclusion: Since the ts is not in the reject interval, do not reject Ho. ======================================================================== Cheers, Stan H.

Number-Line/255306: Why is the line x=4 a vertical line? 1 solutions Answer 187585 by stanbon(57361)   on 2010-01-10 11:34:27 (Show Source): You can put this solution on YOUR website! Why is the line x=4 a vertical line? Plot any two points points that satisfy the condition. Example: (4,-3),(4,2) Draw a line thru the two points. Notice that the line is vertical. --- Also, determine the slope of the line. slope = (2--3)/(4-4) = 5/0 which is undefined --- Any line which has an undefined slope is vertical. Any vertical line has an undefined slope. --- Any equation of the form y = k, where k is some number, graphs as a vertical line. ======================================= Cheers, Stan H.

Graphs/255301: I need help on graphing systems of inequalities. How would you graph y>2 and y>-x+2 1 solutions Answer 187583 by stanbon(57361)   on 2010-01-10 11:29:38 (Show Source): You can put this solution on YOUR website! I need help on graphing systems of inequalities. How would you graph y>2 and y>-x+2 ---- You NEVER graph an inequality directly. You 1st of all graph the EQUALITY which is the boundary of the inequlity. ----- Your Prolem: y>2 1st: Graph y = 2 as a dashed line. 2nd: Shade the half-plane above the boundary since you want y to be greater than the boundary y-values. ----------------- ============================================================ y > -x+2 1st: Graph y = -x+2 as a dashed line. 2nd: Shade the half-plane above the boundary since you want y to be greater than the boundary y-values. ------------------------- ============================================================ Cheers, Stan H.

Probability-and-statistics/255298: when someone buys a airline flight, there is a .0995 problability that the person wont show up for the flight.An agents wants to book 24 persons on an airplane that can only fit 22. if the 24 are booked find the problability that not enought seats will be available. is the problability low enouhg so that the overbooking is not a real concern? 1 solutions Answer 187581 by stanbon(57361)   on 2010-01-10 11:21:31 (Show Source): You can put this solution on YOUR website! when someone buys a airline flight, there is a .0995 problability that the person wont show up for the flight. An agent wants to book 24 persons on an airplane that can only fit 22. if the 24 are booked find the problability that not enough seats will be available. --- A binomial problem with n = 24, p = 1-0.0995, 23<= x <=24 --- Prob(more than 22 will show) = 1 - binomcdf(24,0.8905,22) = 0.295 or 29.5% ---- Is the probability low enough so that the overbooking is not a real concern? No, since the probability of having more that 22 passengers is to high to be acceptable to the airline. ================ Cheers, Stan H.

Probability-and-statistics/255008: In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1,143 were positive. (a) Construct a 95 percent confidence interval for the population proportion of positive drug tests. (b) Why is the normality assumption not a problem, despite the very small value of p? 1 solutions Answer 187572 by stanbon(57361)   on 2010-01-10 10:11:17 (Show Source): You can put this solution on YOUR website! In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1,143 were positive. --- (a) Construct a 95 percent confidence interval for the population proportion of positive drug tests. --- sample proportion = 1143/86,991 = 0.0131 standard error = 1.96*sqrt(0.0131*0.9869/86991) = 0.00076.. --- 95% CI: 0.0131-0.00076 < p < 0.0131+0.00076 ----------------- (b) Why is the normality assumption not a problem, despite the very small value of p? The sample size is high. =============================== Cheers, Stan H.

Probability-and-statistics/255284: Martin Motors has in stock three cars of the same make and model. The president would like to compare the gas consumption of the three cars (labeled car A, car B, and car C) using four different types of gasoline. For each trial, a gallon of gasoline was added to an empty tank, and the car was driven until it ran out of gas. The following table shows the number of miles driven in each trial. 1 solutions Answer 187564 by stanbon(57361)   on 2010-01-10 10:01:30 (Show Source): You can put this solution on YOUR website! The table did not show up in your posting. Cheers, Stan H.

Probability-and-statistics/255037: suppose that the distribution is bell shaped. if approximately 68% of the relative increase in stock price lie between .61% and .87%, then the approximate value of the standard deviation for the distribution is ? 1 solutions Answer 187563 by stanbon(57361)   on 2010-01-10 10:00:19 (Show Source): You can put this solution on YOUR website! suppose that the distribution is bell shaped. if approximately 68% of the relative increase in stock price lie between .61% and .87%, then the approximate value of the standard deviation for the distribution is ? --------- 68% lies within one standard deviation of the mean. So 0.87-0.61 = 0.26 is 2 standard deviations (one to the left and one to the right of the mean). -- So one std is 0.26/2 = 0.13 or 13% ========================================= Cheers, Stan H.

Probability-and-statistics/255041: A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $25.90. Based on this information, complete the following statements about the distribution of the company's fares from O'Hare Airport to the Drake Hotel. According to Chebyshev's Theorem, at least 56%, 75% 84% 89% of the fares lie within 3 standard deviations of the mean , $25.90. Suppose the the distribution is bell shaped if approximately of the fares lie between $21.98 and $29.82, then the approximate value of the standard deviation for the distribution, according the the empirical rule is = ? 1 solutions Answer 187561 by stanbon(57361)   on 2010-01-10 09:53:35 (Show Source): You can put this solution on YOUR website! A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $25.90. Based on this information, complete the following statements about the distribution of the company's fares from O'Hare Airport to the Drake Hotel. According to Chebyshev's Theorem, at least 56%, 75% 84% 89% of the fares lie within 3 standard deviations of the mean , $25.90. --- The Theorem says "at least 1-(1/k^2) of the population lies within k standard deviations of the mean". Your "k" is 3. So Cheb says at least 1-(1/3)^2 = 8/9 = 89% of the pop lies within 3 std. -------------------------------------------------- Suppose the the distribution is bell shaped if approximately of the fares lie between $21.98 and $29.82, then the approximate value of the standard deviation for the distribution, according the the empirical rule is = ? Comment: Some word(s) are missing from this part of the posting. ==================== Cheers, Stan H.

Probability-and-statistics/255231: Please help me this one question..I am lost... Based on the information given for each of the following studies, decide whether to reject the null hypothesis. For each, give the Z-score cutoff (or cutoffs) on the comparison distribution at which the null hypothesis should be rejected, the Z score on the comparison distribution for the sample score, and your conclusion. Assume that all populations are normally distributed. Study Population Sample Score p Tails of Test µ s A 5 1 7 .05 1 (high predicted) B 5 1 7 .05 2 C 5 1 7 .01 1 (high predicted) D 5 1 7 .01 2 1 solutions Answer 187558 by stanbon(57361)   on 2010-01-10 09:44:23 (Show Source): You can put this solution on YOUR website! Based on the information given for each of the following studies, decide whether to reject the null hypothesis. For each, give the Z-score cutoff (or cutoffs) on the comparison distribution at which the null hypothesis should be rejected, the Z score on the comparison distribution for the sample score, and your conclusion. Assume that all populations are normally distributed. Study Population Sample Score p Tails of Test µ s A 5 1 7 .05 1 (high predicted) B 5 1 7 .05 2 C 5 1 7 .01 1 (high predicted) D 5 1 7 .01 2 --------------------------------- Are you saying the following ? For study B the mean is 5, sample std. is 1, sample mean is 7, level of significance is 5%, the test is 2-tail --- If so, the critical values are: z = +/-1.96 If so, the test statistic is z=(7-5)/[1/(sqrt(5)] = 4.47 Then you reject Ho because the test statistic is in the rejection interval. ---- Am I reading you correctly? Cheers, Stan H.

Probability-and-statistics/255267: I'm studying genetics and I'm looking for a book about this topic, specialy probabilty, would you suggest me one? 1 solutions Answer 187556 by stanbon(57361)   on 2010-01-10 09:31:29 (Show Source): You can put this solution on YOUR website! You might try this since it is widely available: http://www.amazon.com/Statistics-Dummies-Deborah-Rumsey/dp/0764554239 Cheers, Stan H.

Probability-and-statistics/255132: The credit score of a 35 year old applying for a mortgage is normally distributed with a mean of 600 abd a standard deviation of 100. A) Find the credit score that defines the upper 5 percent. B) Seventy- five percent of customers will have a credit score higher than what value? C) In what range would the middle 80 percent of credit scores lie. Please help! thanks 1 solutions Answer 187555 by stanbon(57361)   on 2010-01-10 09:27:39 (Show Source): You can put this solution on YOUR website! The credit score of a 35 year old applying for a mortgage is normally distributed with a mean of 600 abd a standard deviation of 100. -------------------------- A) Find the credit score that defines the upper 5 percent. The cutoff z-score is 1.645 Use x = zs+u to find the raw score. x = 1.645*100+600 x = 164.5+600 x = 764.5 -------------------------- B) Seventy- five percent of customers will have a credit score higher than what value? That would be the left-tail cutoff for 25%: That z is invNorm(0.25) = -0.6745 x = -0.6745*100+600 x = -67.45+600 x = 532.55 =============================== C) In what range would the middle 80 percent of credit scores lie. That is a left-tail cutoff at 10% and a right-tail cutoff at 90% z = invNorm(0.10) = -1.2816 and z = +1.2816 I'll let you figure out the x values. ============================================ Cheers, Stan H.

Probability-and-statistics/255104: Can you help me solve this problem please? At an outpatient mental health clinic, appointment cancellations occur at a mean rate of 1.5 per day on a typical Wednesday is Poisson. A) What is the probability that no cancellations will occur on a particular Wednesday? B) What is the probability that one cancellation will occur on a particular Wednesday? C)What is that probability that more than two cancellations will occur on a particular Wednesday? (I am having trouble with Poisson Distribution) Thank you very much. 1 solutions Answer 187440 by stanbon(57361)   on 2010-01-09 15:29:34 (Show Source): You can put this solution on YOUR website! Can you help me solve this problem please? At an outpatient mental health clinic, appointment cancellations occur at a mean rate of 1.5 per day on a typical Wednesday is Poisson. ---- If you have a TI-84 calculator you just plug in the mean rate and the number of occurences you expect to get the probability. A) What is the probability that no cancellations will occur on a particular Wednesday? poissonpdf(1.5,0)= 0.2231.. --------------------------------- B) What is the probability that one cancellation will occur on a particular Wednesday? poissonpdf(1.5.1)= 0.3347 --------------------------------- C)What is that probability that more than two cancellations will occur on a particular Wednesday? poissonpdf(1.5,2)= 0.2510 ------------------------------- If you need the formula I'll have to give it to you later; have to run right now. Cheers, Stan H.

Quadratic_Equations/255127: A parabola forms the top of a fencing panel. This parabola can be modeled by the graph of the function y=0.03125x^2-0.25x+4 where x and y are measured in feet and y represents the number of feet the parabola is above the ground. How far above the ground is the lowest point of the parabola formed by the fence? Do I start of the problem by using the formula x= -b/2a ? If so would it be --0.25/2(0.03125) ? Thank you very much for reading and reviewing my question. It is okay if you cannot answer it, I understand. Thank you again so much really appreciate it. 1 solutions Answer 187436 by stanbon(57361)   on 2010-01-09 15:04:29 (Show Source): You can put this solution on YOUR website! A parabola forms the top of a fencing panel. This parabola can be modeled by the graph of the function y=0.03125x^2-0.25x+4 where x and y are measured in feet and y represents the number of feet the parabola is above the ground. How far above the ground is the lowest point of the parabola formed by the fence? Do I start of the problem by using the formula x= -b/2a ? If so would it be --0.25/2(0.03125) ? ======================================= -b/2a is the x-coordinate. Plug that into the equation to find the number of feet the parabola is above the ground. ======================================= Cheers, Stan H.

Quadratic-relations-and-conic-sections/255125: find the center & radius of the circle with the equation 1 solutions Answer 187435 by stanbon(57361)   on 2010-01-09 14:52:33 (Show Source): You can put this solution on YOUR website! find the center & radius of the circle with the equation ---- Complete the squareon the x and the y-terms: --- x^2 - 6x + 9 + y^2 = -1 (x-3)^2 + (y-0)^2 = -1 ----------------------------- This is not a circle because of the -1 on the right side. ============================================================ Cheers, Stan H.