New!
Get regular updates about newly solved problems
via algebra.com's RSS system.
Recent problems solved by 'stanbon'
stanbon answered: 57322 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 , 57300..57329, >>NextFunctions/206457: how to find the following with one to one functions?
GIVEN:
g={(-8,-3), (-2,5), (1,0), (5,2)}
h(x)=2x+9
now what can be the following?
a. g^-1(5)=___
b. h^-1(x)=___
c. (h^-1 o h)(-8)=___
1 solutions
Answer 156008 by stanbon(57395)   on 2009-08-12 14:45:53 (Show Source):
You can put this solution on YOUR website!GIVEN:
g={(-8,-3), (-2,5), (1,0), (5,2)}
h(x)=2x+9
now what can be the following?
a. g^-1(5)=___
That is the x-value that goes with y = 5
Ans: -2
------------------------
b. h^-1(x)=___
That is the x-value that goes with x
Answer 2x+9
------------------------------
c. (h^-1 o h)(-8)=___
= h^-1[h(-8)]
=h^-1[-7]
That is the x-value that goes with y = -7:
-7 = 2x+9
2x = -16
x = -8
--
Ans: h^-1[-7] = -8
=======================
Cheers,
Stan H.
|
Polynomials-and-rational-expressions/206449: I am studying for the compass exam and I see that others have posted the same question: What is the rational expression when r is not equal to plus or minus 2, r^2-5r+6 / r^2-4. What I don't understand is why r^2-5r+6 factors to [(r-3)(r-2)]...please help!
1 solutions
Answer 155999 by stanbon(57395) on 2009-08-12 12:56:43 (Show Source):
You can put this solution on YOUR website!You first learn to multiply: 2*3=6
Then you learn to factor: 6=2*3
-----------------------------------------
Your problem:
What I don't understand is why r^2-5r+6 factors to [(r-3)(r-2)]...
You first learn FOIL:
(r-3)(r-2)
F: r*r = r^2
O: r*-2= -2r
I: -3*r= -3r
L: -2*-3= 6
---------------------------
Then you learn to factor:
r^2-5r+6
Think of two numbers whose product is 6 and whose sum is -5
The numbers are -2 and -3
Rewrite the problem replacing -5r by -3r-2r
r^2-3r-2r+6
Factor the 1st two and the last two terms separately:
r(r-3)-2(r-3)
Factor again to get the factored answer:
(r-3)(r-2)
=======================
Hope that helps.
Cheers,
Stan H.
|
Quadratic_Equations/206447: what is the equation of a parabola graph?
The parabola opens downward. The vertex is (0,2). It also has points (-2,-2) and (2,-2)
1 solutions
Answer 155997 by stanbon(57395) on 2009-08-12 12:49:41 (Show Source):
You can put this solution on YOUR website!what is the equation of a parabola graph?
The parabola opens downward. The vertex is (0,2). It also has points (-2,-2) and (2,-2)
--------------------------
Form: y = a(x-h)^2+k
Vertex: h = 0, k = 2
Ao,y = ax^2 +2
---
Using (-2,-2) and (2,-2) you get
-2 = 4a +2
a = -1
================
Equation:
y = -x^2+2
=================
Cheers,
Stan H.
|
Mixture_Word_Problems/206440: I am totally lost in this. I have no idea what these symbols even mean. I am getting know where with my professor. Can someone please help and explain. Thank you in advance for your time.
Rachel M.
Given A = {1, 2, 3, 4}, B = {3, 4, 5, 6,}, and C = {4, 6, 7}. Evaluate each set
a) A ∩ B
b) A ∩ C
c) A U C
d) B U C
e) (A U B) ∩ C
f) A U (B U C)
g) (A ∩ B) ∩ C
h) (A ∩ B) U C
1 solutions
Answer 155994 by stanbon(57395) on 2009-08-12 11:45:01 (Show Source):
You can put this solution on YOUR website!Given A ={1, 2, 3, 4}, B = {3, 4, 5, 6,}, and C = {4, 6, 7}. Evaluate each set
a) A ∩ B = {3,4}
b) A ∩ C = {4}
c) A U C = {1,2,3,4,6,7}
d) B U C = {3,4,5,6,7}
e) (A U B) ∩ C = {4,6}
f) A U (B U C) = {3,4}
g) (A ∩ B) ∩ C = {4}
h) (A ∩ B) U C {3,4,6,7}
==============================
To see more about this search for "Venn diagrams" using Google or other
search engine.
==============================
Cheers,
Stan H.
|
Polynomials-and-rational-expressions/206444: This question is from an Appendix for an assignment I need to turn in. Can you please help me with the steps to complete the answer? (The question has copied and pasted into this box.)
a. Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).
Thank you,
Snoopyg
1 solutions
Answer 155991 by stanbon(57395) on 2009-08-12 11:32:04 (Show Source):
You can put this solution on YOUR website!Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).
-------------------------------------
Points:(42,20), (52,10)
-----------------------
slope = (10-20)/(52-42) = -10/10 = -1
------------------------------------------
intercept:
Using the form p = mx + b you get 10 = -1*52+b
b = 62
------------------
Equation:
p(x) = -x + 62
-----------------------
Cheers,
Stan H.
|
Probability-and-statistics/206390: Find the probability.
In one town, 35% of households have a cat, 23% of households have a dog, and 7% have both. What is the probability that a household has a dog if you know that it has a cat?
1 solutions
Answer 155979 by stanbon(57395) on 2009-08-12 09:36:52 (Show Source):
You can put this solution on YOUR website!Find the probability.
In one town, 35% of households have a cat, 23% of households have a dog, and 7% have both. What is the probability that a household has a dog if you know that it has a cat?
--------------------------
P(dog|cat) = P(dog and cat)/P(cat) = 0.07/0.35 = 0.2
==============
Cheers,
Stan H.
|
Probability-and-statistics/206399: What is the expected value of one of 700 tickets in a raffle for a prize of $ 1400?
1 solutions
Answer 155975 by stanbon(57395) on 2009-08-12 09:27:38 (Show Source):
You can put this solution on YOUR website! What is the expected value of one of 700 tickets in a raffle for a prize of $ 1400?
----------------
Assuming that you pay nothing to play the game
the expected value is (1/700)*1400 = $2
========================================
Cheers,
Stan H.
|
Rational-functions/206421: My question is how to multiply a rational expression for example.
(3/a^2+a)(2a+2/6)
1 solutions
Answer 155974 by stanbon(57395) on 2009-08-12 09:22:35 (Show Source):
You can put this solution on YOUR website!multiply a rational expression for example.
(3/a^2+a)(2a+2/6)
-----------
Factor:
(3/[a(a+1)])*(2(a+1)/6)
----
Cancel factors common to a numerator and a
denominator such as 3,2,a+1 to get:
-------------
(1/[a])*(1/1)
= 1/a
===========
Cheers,
Stan H.
|
Probability-and-statistics/206406: This question is from textbook New Syllabus Mathematics D
I am unable to solve this question. Please help me know how to solve it.
A fair coin is thrown and a card is picked from a suit of 13 diamonds of well-shuffled playing cards. List the sample space. Find the probability of getting
(a) A head and a red card
(b) A tail and an ace,
(c) A head and a picture card,
(d) A tail and a card bearing a number divisible by 3,
(e) A head and a queen of heart.
1 solutions
Answer 155973 by stanbon(57395) on 2009-08-12 09:16:36 (Show Source):
You can put this solution on YOUR website!A fair coin is thrown and a card is picked from a suit of 13 diamonds of well-shuffled playing cards. List the sample space. Find the probability of getting
---
These are independent events because the sample space for each share no
common elements.
---
(a) P(A head and a red card)=P(head)*P(red) = 1/2*1 = 1/2
---------------------------
(b) P(A tail and an ace) = P(tail)*P(ace) = 1/2 * 1/13 = 1/26
---------------------------
(c) P(A head and a picture card)= P(head)*P(picture) = 1/2 * 3/13 = 3/26
---------------------------
(d) P(A tail and a card bearing a number divisible by 3) = (1/2)*3/13=3/26
---------------------------
(e) P(A head and a queen of heart) = P(head)*P(queen) = 1/2*1/13 = 1/26
---------------------------
Cheers,
Stan H.
|
Graphs/206361: This question is from textbook
Can someone please help me with this problem:
Solve the inequality and graph the solution.
|9s-3| < |s+8|
1 solutions
Answer 155960 by stanbon(57395) on 2009-08-11 23:30:56 (Show Source):
You can put this solution on YOUR website!Solve the inequality and graph the solution.
|9s-3| < |s+8|
------------------------
Solution: -1/2 < s < 11/8
---------------------------------
=======================================================
Cheers,
Stan H.
|
Finite-and-infinite-sets/206366: 15. tell whether the statement is true or false
{x/ x is an even counting number between 10 and 16 }= 8
1 solutions
Answer 155958 by stanbon(57395) on 2009-08-11 23:21:26 (Show Source):
You can put this solution on YOUR website!tell whether the statement is true or false
{x/ x is an even counting number between 10 and 16 }= 8
---------------
False
---------------------
{x| x is an even counting number between 10 and 16} = {12,14}
======================================================================
Cheers,
Stan H.
|
Trigonometry-basics/206389: cos^2x - sin^2x = sin x
with x greater than negative pi and less than or = pi
1 solutions
Answer 155956 by stanbon(57395) on 2009-08-11 23:16:59 (Show Source):
You can put this solution on YOUR website!cos^2x - sin^2x = sin x
with x greater than negative pi and less than or = pi
--------------------------
(1-sin^2(x))-sin^2(x) = sin(x)
1 - 2sin^2(x) = sin(x)
2sin^2(x)+sinx -1 = 0
Factor to get:
(2sin(x)-1)(sin(x)+1) = 0
sin(x) = 1/2 or sin(x) = -1
---------------------------------------
If sin(x) = 1/2, x = pi/6 or x = (5/6)pi
If sin(x) = -1, x = (3/2)pi
=============================================
Cheers,
Stan H.
=============================================
|
Proportions/206386: You are traveling to your aunts house that is 234 miles away. If you are currently twice as far from home as you are from your aunts, how far have you traveled?
1 solutions
Answer 155950 by stanbon(57395) on 2009-08-11 22:45:27 (Show Source):
You can put this solution on YOUR website!You are traveling to your aunts house that is 234 miles away. If you are currently twice as far from home as you are from your aunts, how far have you traveled?
-------------------
(2/3)234 = 156 miles
==========================
Cheers,
Stan H.
|
Proportions/206385: Find the length of a rectangular lot with a perimeter of 108 meters if teh length is 8 meters more than the width.
1 solutions
Answer 155948 by stanbon(57395) on 2009-08-11 22:29:32 (Show Source):
You can put this solution on YOUR website!Find the length of a rectangular lot with a perimeter of 108 meters if teh length is 8 meters more than the width.
----------------------------------
Perimeter = 2(W + L)
108 = 2(W + W+8)
54 = 2W+8
2W = 46
W = 23 meters (width)
w+8 = 31 meters (length)
============================
Cheers,
Stan H.
|
Graphs/206382: 3x-5y=-9
5x-6y=-8
graph?
1 solutions
Answer 155946 by stanbon(57395) on 2009-08-11 22:18:22 (Show Source):
You can put this solution on YOUR website!3x-5y=-9
5x-6y=-8
graph?
--------------------
y = (3/5)x+(9/5)
y = (5/6)x+(4/3)
-----------------------
(3/5)x+(9/5) = (5/6)x+(4/3)
(3/5-5/6)x = (4/3-9/5)
-7/30 x = -7/15
(1/30)x = (1/15)
x = 2
--
y = (3/5)*2+(9/5)
y = 3
---
Solution: (2,3)
---
Cheers,
Stan H.
|
percentage/206380: ABC Bookstore sold 2,500 copies of Algebra books this second semester and 670 copies remained unsold. What percent of the total number of copies did the store sell?
1 solutions
Answer 155945 by stanbon(57395) on 2009-08-11 22:08:17 (Show Source):
You can put this solution on YOUR website!ABC Bookstore sold 2,500 copies of Algebra books this second semester and 670 copies remained unsold. What percent of the total number of copies did the store sell?
----------------------
# sold = 2500 - 670 = 1830
----------------------------------
Percent sold = 1830/2500 = 73.2%
=====================================
Cheers,
Stan H.
|
Linear-equations/206381: find a pair of linear equations for parallel lines
2x-3y=5
2x-3y=-7
1 solutions
Answer 155944 by stanbon(57395) on 2009-08-11 22:02:26 (Show Source):
You can put this solution on YOUR website!find a pair of linear equations for parallel lines
2x-3y=5
2x-3y=-7
---------------------
The graphs of these two equations are parallel
because they have the same slope.
slope = 2/3 for both
=============================
Cheers,
Stan H.
|
percentage/206378: Engineering Construction Company laid off 120 of its workers. If the number represented 16% of the total number of workers, how many were originally employed?
1 solutions
Answer 155942 by stanbon(57395) on 2009-08-11 21:34:39 (Show Source):
You can put this solution on YOUR website!Engineering Construction Company laid off 120 of its workers. If the number represented 16% of the total number of workers, how many were originally employed?
----------------------------
Let x be the number originally employed.
Equation:
0.16x = 120
x = 120/0.16
x = 750
=======================
Cheers,
Stan H.
|
Trigonometry-basics/206372: Solve for x in the equation
3sin^2x = cos^2x; 0
3 sin squared x = cos squared x where x is greater than or = 0 and less than or = 2pi
Thank you so much for your help!
1 solutions
Answer 155941 by stanbon(57395) on 2009-08-11 21:30:00 (Show Source):
You can put this solution on YOUR website!Solve for x in the equation
3sin^2x = cos^2x; 0 3 sin squared x = cos squared x where x is greater than or = 0 and less than or = 2pi
------------------------------------
Solve for x in the equation
3sin^2x = cos^2x
---
Divide both sides by 3cos^2x to get:
tan^2(x) = 1/3
tan(x) = 1/sqrt(3)
---
x = pi/6 or (7/6)pi
=============================
Cheers,
Stan H.
|
Probability-and-statistics/206358: In Dallas, some fire trucks were painted yellow (instead of red) to heighten their visibility. During a test period, the fleet of red fire trucks made 153,348 runs and had 20 accidents, while the fleet of yellow fire trucks made 135,035 runs and had 4 accidents. At α = .01, did the yellow fire trucks have a significantly lower accident rate? (a) State the hypotheses. (b) State the decision rule and sketch it. (c) Find the sample proportions and z test statistic. (d) Make a decision. (e) Find the p-value and interpret it. (f ) If statistically significant, do you think the difference is large enough to be important? If so, to whom, and why? (g) Is the normality assumption fulfilled? Explain.
Statistic Red Fire Trucks Yellow Fire Trucks
Number of accidents x1 = 20 accidents x2 = 4 accidents
Number of fire runs n1 = 153,348 runs n2 = 135,035 runs
1 solutions
Answer 155940 by stanbon(57395) on 2009-08-11 21:15:08 (Show Source):
You can put this solution on YOUR website!In Dallas, some fire trucks were painted yellow (instead of red) to heighten their visibility. During a test period, the fleet of red fire trucks made 153,348 runs and had 20 accidents, while the fleet of yellow fire trucks made 135,035 runs and had 4 accidents. At α = .01, did the yellow fire trucks have a significantly lower accident rate?
(a) State the hypotheses.
Ho: p(red)-p(yellow) = 0
Ha: p(red)-p(yellow) > 0
-----------------------------------------------
(b) State the decision rule and sketch it.
Reject Ho if the test statistic is greater than z = 2.3263
-----------------------------------------------
(c) Find the sample proportions and z test statistic.
p-hat(red) = 20/153348 ; p-hat(yellow) = 4/135,035
z-test statistic: 2.961
----------------------------------
(d) Make a decision.
Reject Ho
-------------------------------
(e) Find the p-value and interpret it.
p-value: P(z>2.961) = 0.0015
Only 0.15% of test results could provide stronger evidence for
rejecting Ho.
----------------------------------
(f ) If statistically significant, do you think the difference is large enough to be important? If so, to whom, and why?
Yes, it supports painting all engines yellow
----------------------------------------------------
(g) Is the normality assumption fulfilled? Explain.
The sample sizes are large enough to support the conclusion.
-------------------------------------------------------
Cheers,
Stan H.
-------------------------------------------------------
Statistic Red Fire Trucks Yellow Fire Trucks
Number of accidents x1 = 20 accidents x2 = 4 accidents
Number of fire runs n1 = 153,348 runs n2 = 135,035 runs
|
Inequalities/206353: Can someone please help me solve these problems, x/14-85>6 and 23>12-x/9? I have no idea how to solve these inequalities, and it would be greatly appreciated if you could help me solve them. thanks.
1 solutions
Answer 155932 by stanbon(57395) on 2009-08-11 20:22:42 (Show Source):
You can put this solution on YOUR website!Can someone please help me solve these problems, x/14-85>6 and 23>12-x/9? I have no idea how to solve these inequalities,
------------------------------------------------------
x/14 > 6+85
x/14 > 91
x > 1274
-------------------------
x/9 + 23 > 12
x/9 > -11
x > -99
======================================
Cheers,
Stan H.
|
Polynomials-and-rational-expressions/206352: how to do you find all values of y satisfying this equation?
7/y-2= -8 -3/y-1
1 solutions
Answer 155930 by stanbon(57395) on 2009-08-11 20:14:49 (Show Source):
You can put this solution on YOUR website!how to do you find all values of y satisfying this equation?
7/(y-2)= -8 -3/(y-1)
-------------------------
Multiply both sides by (y-2)(y-1) to get:
---
7(y-1) = -8(y-2)(y-1) - 3(y-2)
------------------------------
7y-7 = -8(y^2-3y+2) -3y + 6
7y - 7 = -8y^2 + 24y - 16 -3y + 6
8y^2-14y+3 = 0
Factor using athe AC Method:
8y^2-12y-2y+3 = 0
4y(2y-3)-(2y-3) = 0
(2y-3)(4y-1) = 0
Solve for "y":
y = 3/2 or y = 1/4
========================================
Cheers,
Stan H.
========================================
|
Graphs/206351: how do you graph y=-5/2x+3
1 solutions
Answer 155929 by stanbon(57395) on 2009-08-11 20:01:25 (Show Source):
You can put this solution on YOUR website!how do you graph y=-5/2x+3
------------------------
Plot two points and draw a line thru them.
Points:
If x = 0, y = (-5/2)*0+3 = 3 gives point (0,3)
If x = 2, y = (-5/2)*2+3 = -5+3 = -2 gives point (2,-2)
----------------------------------------------------------------
===============================
Cheers,
Stan H.
|
Probability-and-statistics/206350: In one roll of two number cubes, what is the probability that the sum of the faces is 11?
1 solutions
Answer 155928 by stanbon(57395) on 2009-08-11 19:57:12 (Show Source):
You can put this solution on YOUR website!In one roll of two number cubes, what is the probability that the sum of the faces is 11?
-----------------
There are 6*6=36 possible outcomes.
11 comes from (5,6)and (6,5)
--------------------------------
The probability of a sum of 11 = 2/36 = 1/18
================================================
Cheers,
Stan H.
|
Linear-systems/206287: y = -4x - 7 is asking me to slove by substitution and determine whether
y = 3x the equation is independent, dependent or inconsistent
1 solutions
Answer 155927 by stanbon(57395) on 2009-08-11 19:54:01 (Show Source):
You can put this solution on YOUR website!y = -4x - 7 is asking me to solve by substitution and determine whether
y = 3x the equation is independent, dependent or inconsistent
----------------------------
If you get a one point intersection, the system is independent.
Substituting you get:
3x = -4x-7
7x = -7
x = -1
----
If x = -1, y = 3*-1 = -3
---------------
The point of intersection is (-1,-3)
The system is independent.
==================================
Cheers,
Stan H.
|
Unit_Conversion_Word_Problems/206333: You are taking a trip to Switzerland. You are at the bank exchanging $600 for Swiss francs. The exchange rate is 1.5 francs per dollar, and the bank charges a 1.5% fee to make the exchange.
After your trip you have 321 Swiss francs left. How much is this amount in dollars? Assume that you use other money to pay the exchange fee.
1 solutions
Answer 155926 by stanbon(57395) on 2009-08-11 19:48:34 (Show Source):
You can put this solution on YOUR website!You are taking a trip to Switzerland. You are at the bank exchanging $600 for Swiss francs. The exchange rate is 1.5 francs per dollar, and the bank charges a 1.5% fee to make the exchange.
After your trip you have 321 Swiss francs left. How much is this amount in dollars? Assume that you use other money to pay the exchange fee.
----------------------------------------------------
proportion:
1 dollar/1.5 francs = x dollars/321 francs
---
x dollars = 321/1.5
x dollars = $214
---
The 321 francs is worth $214
=================================
Cheers,
Stan H.
=================================
|
Linear-equations/206344: Suppose you have a quadratic equation where x is written in terms of y.
x = ay^2 + by + c
Graph the following equation and explain how it opens. Is it the same as those in the book for y? Explain your answer.
x=3y^2 + 2y +4
1 solutions
Answer 155925 by stanbon(57395) on 2009-08-11 19:37:50 (Show Source):
You can put this solution on YOUR website!It is a parabola opening to the right.
Can't show the graph on this site because it is not a function.
---------------------------------------------------------------------
Cheers,
Stan H.
|
Geometry_proofs/206347: Describe a pattern in the sequence of numbers.
0,1,4,9
predict the next number.
1 solutions
Answer 155924 by stanbon(57395) on 2009-08-11 19:34:48 (Show Source):
You can put this solution on YOUR website!Describe a pattern in the sequence of numbers.
0,1,4,9
predict the next number.
-------------------------------
The pattern: 1^2,2^2,3^2
The pattern: n^2 where n is the number of the term.
========================================================
Cheers,
Stan H.
|
Probability-and-statistics/206319: What is the critical value for a two-tailed F-test with a=0.10, when the sample size from which the variance for the numberator was obtained was 10, and the sample size from which the denominator was obtained was 24?
Possible answers:
a)2.27
b)2.25
c)2.32
d)2.30
1 solutions
Answer 155923 by stanbon(57395) on 2009-08-11 19:27:51 (Show Source):
You can put this solution on YOUR website!What is the critical value for a two-tailed F-test with a=0.10, when the sample size from which the variance for the numberator was obtained was 10, and the sample size from which the denominator was obtained was 24?
Possible answers:
------------------
Ans: c
============
Cheers,
Stan H.
============
a)2.27
b)2.25
c)2.32
d)2.30
|
|
