Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On

 Tutoring Home For Students Tools for Tutors Our Tutors Register Recently Solved
 By Tutor
| By Problem Number |

Tutor:

# Recent problems solved by 'stanbon'

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

 Rational-functions/625834: how do I use this formula? the number of haircuts c completed by a hair stylist after t hours of work on a recent day is given by c(t) = 2t + 1 how many hours does it take to complete 8 haircuts? 3 3.5 4.5 17 181 solutions Answer 393808 by stanbon(57347)   on 2012-07-04 08:28:25 (Show Source): You can put this solution on YOUR website! how do I use this formula? the number of haircuts c completed by a hair stylist after t hours of work on a recent day is given by c(t) = 2t + 1 how many hours does it take to complete 8 haircuts? C(8) = 2*8+1 = 17 –----------- Cheers Stan H. 3 3.5 4.5 17 18
 Permutations/625835: In how many ways can a group of 4 people be selected for a party planning committee from a class of 25?1 solutions Answer 393806 by stanbon(57347)   on 2012-07-04 08:23:51 (Show Source): You can put this solution on YOUR website!In how many ways can a group of 4 people be selected for a party planning committee from a class of 25? -------- And: 25C4 = 25!/(21!*4!) = 12650 Cheers Stan H.
 Systems-of-equations/625833: I am gearing up for my test and this is a practice question and I just can't remember the formula. one person traveled h hours at 60 mph. a second person traveled 2h-5 hours at 40 mph. both traveld the same distance. how many hors did the second person travel? 5 10 15 20 25 1 solutions Answer 393805 by stanbon(57347)   on 2012-07-04 08:18:19 (Show Source): You can put this solution on YOUR website! Systems-of-equations/625833 (2012-07-04 08:07:02): I am gearing up for my test and this is a practice question and I just can't remember the formula. one person traveled h hours at 60 mph. a second person traveled 2h-5 hours at 40 mph. both traveld the same distance. how many hors did the second person travel? _____ Equation: Distance = Distance 60h = (2h-5)40 60h = 80h - 200 20h = 200 h = 10 _______ 2h-5 = 15 hours ___________ Cheers Stan H. -----------------___ 5 10 15 20 25 0 solutions
 Radicals/625295: Can anyone please help me with rationalizing, please? I just can't seem to understand the Exponent/Radical lessons. Only this lesson makes me slumped :( ANY HELP I WOULD BE GRATEFUL<3 ^3sqrt|2a^9b^5c^4 (The sqroot sign goes all the way to c^4.) (The 3 in the beginning, is written as an exponent before the sqroot) THANK YOU!1 solutions Answer 393467 by stanbon(57347)   on 2012-07-02 09:24:28 (Show Source): You can put this solution on YOUR website!^3sqrt|2a^9b^5c^4 -------------- cbrt(a^9b^3c^3)*cbrt(2b^2c) ------ a^3bc*cbrt(2b^2c) ------------ Cheers, Stan H.
 Miscellaneous_Word_Problems/625292: R is what percent of 1000? Can someone go into detail on how to answer this?1 solutions Answer 393407 by stanbon(57347)   on 2012-07-02 00:04:59 (Show Source): You can put this solution on YOUR website! -------------- R = R/1000 * 1000 = (0.1R/100)*1000 = (0 .1R%) of 1000 Cheers, Stan H.
 Linear-systems/625290: Solve the following systems of equations and find all possible solutions as (x,y). 1 solutions Answer 393406 by stanbon(57347)   on 2012-07-01 23:46:19 (Show Source): You can put this solution on YOUR website!Solve the following systems of equations and find all possible solutions as (x,y). ------------- 2x-1 = x^2-3x-1 x^2 - 5x = 0 x(x - 5) = 0 x= 0 or x = 5 ------------- Cheers, Stan H.
 logarithm/620640: How do I expand this logarithm? Log(base of 3)11p^31 solutions Answer 390300 by stanbon(57347)   on 2012-06-13 18:56:12 (Show Source): You can put this solution on YOUR website!expand this logarithm? Log(base of 3)11p^3 ------ log3(11p^3) --- = log3(11) + log3(p^3) --- = log3(11) + 3log3(p) ========================= Cheers, Stan H. ===================
 Probability-and-statistics/620635: A medication is 75% effective against a bacterial infection. Find the probability that if 12 people take the medication, at least 1 person's infection will not improve1 solutions Answer 390299 by stanbon(57347)   on 2012-06-13 18:53:34 (Show Source): You can put this solution on YOUR website!A medication is 75% effective against a bacterial infection. Find the probability that if 12 people take the medication, at least 1 person's infection will not improve ------- Binomial Problem with n = 12 and p(effective) = 0.75 ; P(not) = 0.25 ---- P(1<= x <=12 not improve) = 1 - P(x = 0 improve) = 1 - 0.25^12 = 0.999999940400.. ------------------------ Cheers, Stan H.
 Probability-and-statistics/620632: If a population has a standard deviation of 18, what is the minimum number of samples that need to be averaged in order to be 95% confident that the average of the means is within 2 of the true mean?1 solutions Answer 390297 by stanbon(57347)   on 2012-06-13 18:43:15 (Show Source): You can put this solution on YOUR website!If a population has a standard deviation of 18, what is the minimum number of samples that need to be averaged in order to be 95% confident that the average of the means is within 2 of the true mean? ------------------------------ n = [z*s/E]^2 --- n = [1.96*18/2]^2 = 312 when rounded up ================ Cheers, Stan H. ================
 Mixture_Word_Problems/620608: hi Have a medicine that comes as a solution: 3% Aethoxysklerol medicine in 2ml. Wish to have a concentration of 0.6% Aethoxysklerol. How much saline would I need to add to the 2ml of 3% to get 0.6% concentration ?? Many thanks1 solutions Answer 390296 by stanbon(57347)   on 2012-06-13 18:40:26 (Show Source): You can put this solution on YOUR website!Have a medicine that comes as a solution: 3% Aethoxysklerol medicine in 2ml. Wish to have a concentration of 0.6% Aethoxysklerol. How much saline would I need to add to the 2ml of 3% to get 0.6% concentration ?? --------- Equation: saline + saline = saline 0.97*2 + x = 0.994(x+2) --- Multiply thru by 1000 970*2 + 1000x = 994x + 994*2 ---- 6x = 24*2 x = 4*2 = 8 ml (Amt of saline to add) ====================================== Cheers, Stan H.
 Graphs/620542: Sketch the graph the parabola. Find the coordinates of the vertex. y=-x^(2)+2x-3 The vertex is? ___? Also graph the parabola If you can please include the points that I have to graph/plot that would be great. I know how to get the vertex but I always mess up when it comes to graphing the exact point or points.1 solutions Answer 390221 by stanbon(57347)   on 2012-06-13 15:09:28 (Show Source): You can put this solution on YOUR website!Sketch the graph the parabola. Find the coordinates of the vertex. y=-x^(2)+2x-3 The vertex is? ---- Complete the square: y+3 = -x^2+2x ---- -(x^2-2x+?) = y + 3 -? --- -(x^2-2x+1) = y + 3 -1 ---- -(x-1)^2 = y + 2 ---- Vertex: (1,-2) ---- Graph:: --------------------- Cheers, Stan H. ===================
 Coordinate-system/620552: determine the slope and the y-intercept. then graph the equation. y=2/3x+51 solutions Answer 390217 by stanbon(57347)   on 2012-06-13 15:01:51 (Show Source): You can put this solution on YOUR website!determine the slope and the y-intercept. then graph the equation. y=2/3x+5 ----- slope = 2/3 intercept = 5 ----- Put your pencil point at (0,5) on the y-axis. ---- Move your pencil point 3 to the right to (3,5) Then move your pencil point (2/3)3 = 2 units up to (3,7) --- You have points at (0,5) and (3,7). Draw a line thru them. ---- That is the graph you want. ============ Cheers, Stan H. =================
 Travel_Word_Problems/620553: If a car travels 100km in 2 hours, how many km per hour did it travel? 1 solutions Answer 390215 by stanbon(57347)   on 2012-06-13 14:56:29 (Show Source): You can put this solution on YOUR website!If a car travels 100km in 2 hours, how many km per hour did it travel? ---- Ans: 50 km/hr ==================== Cheers, Stan H.
 Trigonometry-basics/620533: how would find a positive co-terminal angle of 15pi/4 1 solutions Answer 390214 by stanbon(57347)   on 2012-06-13 14:54:52 (Show Source): You can put this solution on YOUR website!how would find a positive co-terminal angle of 15pi/4 ----- (15/4)pi = (8/4)pi + (7/4)pi ---- Positive co-terminal angle : (7/4)pi
 Trigonometry-basics/620549: please help: how do i find the reference angle of 6pi/51 solutions Answer 390213 by stanbon(57347)   on 2012-06-13 14:50:47 (Show Source): You can put this solution on YOUR website!find the reference angle of 6pi/5 ---- (6/5)pi = pi + (1/5)pi --- Reference angle = (1/5)pi ==================== The Reference angle is always the positive angle formed by the terminal side of the given angle and the CLOSEST segment of the x-axis. ==================================== Cheers, Stan H.
 Probability-and-statistics/620509: Solve Probability Problems. P(x>450) Mean=390 Deviation=651 solutions Answer 390210 by stanbon(57347)   on 2012-06-13 14:47:11 (Show Source): You can put this solution on YOUR website!Solve Probability Problems. P(x>450) Mean=390 Deviation=65 ----- z(450) = (450-390)/65 = 60/65 = 12/13 --- P(x > 45) = P(z > 12/13) = normalcdf(12/13,100) = 0.1780 ======================= Cheers, Stan H. ===============
 Probability-and-statistics/620528: If the period of a tangent function is 7π, what is the frequency of the function?1 solutions Answer 390208 by stanbon(57347)   on 2012-06-13 14:44:18 (Show Source): You can put this solution on YOUR website!If the period of a tangent function is 7π, what is the frequency of the function? ------ time = 7(pi) seconds/cycle freq = [1/(7pi)] cycles/second =================================== Cheers, Stan H. ==============
 Probability-and-statistics/620534: 14% of what number is 0.31 solutions Answer 390205 by stanbon(57347)   on 2012-06-13 14:36:45 (Show Source): You can put this solution on YOUR website!14% of what number is 0.3 ---- Equation: 0.14x = 0.3 x = 0.3/0.14 x = 2.1429 ============= Cheers, Stan H.
 Probability-and-statistics/620301: what is the 6th term of (2x-1/3y)^71 solutions Answer 390068 by stanbon(57347)   on 2012-06-12 21:32:24 (Show Source): You can put this solution on YOUR website!what is the 6th term of [(2x-(1/3)y)]^7 ---- 6th term: 7C2*(2x)^2*(-(1/3)y)^5) = 21*4x^2*(-1/243)y^5 --- = (-28/81)x^2y^5 ====================== Cheers, Stan H.
 Probability-and-statistics/619963: Hi, I've been stuck on this question all day! Hoping I could get some help: Whats the height of college hockey players? The avg height has been 68.3 inches. A random sample of 14 hockey players gave a mean height of 69.1 inches. We may assume that x has a normal distribution with std dev of 0.9 inch. Does this indicate that the population mean height is different from 68.3 inches? Use 5% level of significance and this one as well please: A random sample of 83 investment portfolios managed by Kendra showed that 62 of them met the targeted annual percent growth. A random sample of 112 portfolios managed by Lisa showed that 87 met the targeted annual percent growth. Find a 99% confidence interval for the difference in the proportion of the portfolios meeting target goals managed by Kendra compared with those managed by Lisa. Is there a difference in the proportions at the 99% confidence level?1 solutions Answer 390067 by stanbon(57347)   on 2012-06-12 21:27:43 (Show Source): You can put this solution on YOUR website!What is the height of college hockey players? The avg height has been 68.3 inches. A random sample of 14 hockey players gave a mean height of 69.1 inches. We may assume that x has a normal distribution with std dev of 0.9 inch. Does this indicate that the population mean height is different from 68.3 inches? Use 5% level of significance Ho: u = 68.3 (claim) Ha: u # 68.3 ----- t(69.1) = (69.1-68.3)/[0.9/sqrt(14)] = 0.2138 p-value = 2*p(0.2138< = t <= 100 when df = 13) = 2*tcdp(0.2138,100,13) = 0.4170 ---- Since the p-value is greater than 5%, fail to reject Ho. The mean height is 68.3. ================================= A random sample of 83 investment portfolios managed by Kendra showed that 62 of them met the targeted annual percent growth. A random sample of 112 portfolios managed by Lisa showed that 87 met the targeted annual percent growth. -------- Find a 99% confidence interval for the difference in the proportion of the portfolios meeting target goals managed by Kendra compared with those managed by Lisa. -------- Is there a difference in the proportions at the 99% confidence level? --- Kendra DATA: sample proportion = phat2 = 62/83 = 0.75 Lisa DATA: sample proportion = phat1 = 87/112 = 0.78 ------ Ho: p1 - p2 = 0 Ha: p1 - p2 # 0 --------------------------------- std of proportion differences: sqrt[(p1q1/n1) + (p2q2/n2)] = sqrt[(.75*0.25/83)+(0.78*0.22/112)] = 0.0616 --------------------------------------------------- z(difference) = (0.78-0.75)/0.0616 = 0.4872 ---- sample proportion difference = 0.03 std of sample difference: sqrt[(0.75*0.25/83)+(0.78*0.22/112)] = 0.0616 ----- Margin of error: 2.5758*0.0616 = 0.1586 ------ 99% CI: 0.03-0.1586 < p1-p2 < 0.03+0.1586 (-0.1286 , +0.1886) =========== Conclusion: Since zero is in the 99% CI, fail to reject Ho. =============================== Cheers, Stan H. =============================================
 Mixture_Word_Problems/620192: How many gallons of an 80% antifreeze solution must be mixed with 100 gallons of 30% antifreeze to get a mixture that is 70% antifreeze?1 solutions Answer 389979 by stanbon(57347)   on 2012-06-12 14:45:40 (Show Source): You can put this solution on YOUR website!How many gallons of an 80% antifreeze solution must be mixed with 100 gallons of 30% antifreeze to get a mixture that is 70% antifreeze? ------ Equation: anti + anti = anti 0.80x + 0.30*100 = 0.70*(x+100) ------- 80x + 30*100 = 70x + 70*100 10x = 40*100 x = 400 gallons (amt. of 80% solution to add) ================== Cheers, Stan H.
 Mixture_Word_Problems/620188: If I have a 80ml solution that is 20% acid by volume, how many mL should I remove and replace with pure 100% acid to obtain a final solution of 80ml that is 40% acid by volume? What is the equation?1 solutions Answer 389973 by stanbon(57347)   on 2012-06-12 14:34:57 (Show Source): You can put this solution on YOUR website!If I have a 80ml solution that is 20% acid by volume, how many mL should I remove and replace with pure 100% acid to obtain a final solution of 80ml that is 40% acid by volume? What is the equation? ----- Equation: acid - acid + acid = acid 0.20*80 - 0.20x + x = 0.40*80 --- Multiply thru by 100 to get: 20*80 - 20x + 100x = 40*80 80x = 20*80 x = 20 ml (amt. to remove and replace) ================ Cheers, Stan H.
 Money_Word_Problems/620156: If a new car costs \$18,000.00 and depreciates at a rate of 12% per year, what will be the value of the car in four years?1 solutions Answer 389937 by stanbon(57347)   on 2012-06-12 12:00:46 (Show Source): You can put this solution on YOUR website!If a new car costs \$18,000.00 and depreciates at a rate of 12% per year, what will be the value of the car in four years? --- Each year the car is worth 88% of last year's value. --- Equation: 18000*0.88^4 = \$10794.52 ================= Cheers, Stan H.
 Average/620154: hi my averages where 69.33 72 62 and 53 how do get an average for 4 terms 1 solutions Answer 389935 by stanbon(57347)   on 2012-06-12 11:58:29 (Show Source): You can put this solution on YOUR website!69.33 72 62 and 53 how do get an average for 4 terms Add the numbers and divide the sum by 4 to get the average: sum = 256.33 average = 64.0825 ================= Cheers, Stan H. ===========
 Square-cubic-other-roots/620150: please help on this Essay question: show all work. Suzie’s flower shop estimates that supplies costs for one month will be given by the polynomial 2x2 – 3x – 2. She estimates that utilities costs for one month is given by 4x – 6. Find and simplify an expression that would estimate Suzie’s total costs for one month.1 solutions Answer 389933 by stanbon(57347)   on 2012-06-12 11:56:02 (Show Source): You can put this solution on YOUR website!answered
 Equations/620149: I did the work for this one, it basically came down to me getting a LCD of 60 and the answer I ended up with was x=-5/2. I just want to check to make sure this is correct. 1 solutions Answer 389932 by stanbon(57347)   on 2012-06-12 11:55:05 (Show Source): You can put this solution on YOUR website!I ended up with was x=-5/2. I just want to check to make sure this is correct. {x/5)+(1/12) = (x/6} ---- An LCD is used if you are adding or subtracting fractions. --- Use an LCM (least common multiple) when you have an equation. --- LCM = 60 --- Multiply thru by the LCM to get: 12x + 5 = 10x 2x = -5 x = -5/2 ================ Cheers, Stan H. =====================
 Quadratic-relations-and-conic-sections/620148: does y value also increase towards infinity along with x value towards positive infinity if so does y value increase faster or slower than x value 1 solutions Answer 389930 by stanbon(57347)   on 2012-06-12 11:49:22 (Show Source): You can put this solution on YOUR website!Insufficient information
 Square-cubic-other-roots/620131: please help it says Essay question: show all work. Suzie’s flower shop estimates that supplies costs for one month will be given by the polynomial 2x2 – 3x – 2. She estimates that utilities costs for one month is given by 4x – 6. Find and simplify an expression that would estimate Suzie’s total costs for one month.1 solutions Answer 389928 by stanbon(57347)   on 2012-06-12 11:48:03 (Show Source): You can put this solution on YOUR website!Essay question: show all work. Suzie’s flower shop estimates that supplies costs for one month will be given by the polynomial 2x2 – 3x – 2. She estimates that utilities costs for one month is given by 4x – 6. Find and simplify an expression that would estimate Suzie’s total costs for one month. ------ supply costa: 2x^2-3x-2 utility costs: 4x-6 ---- Total cost: 2x^2 + x - 8 ============================= Cheers, Stan H.
 Percentage-and-ratio-word-problems/620100: (A) Find the binomial probability P(x = 6), where n = 15 and p = 0.30. (B) Set up, without solving, the binomial probability P(x is at most 6) using probability notation. (C) How would you find the normal approximation to the binomial probability P(x = 6) in part A? Please show how you would calculate µ and σ in the formula for the normal approximation to the binomial, and show the final formula you would use without going through all the calculations. 1 solutions Answer 389910 by stanbon(57347)   on 2012-06-12 10:08:14 (Show Source): You can put this solution on YOUR website!(A) Find the binomial probability P(x = 6), where n = 15 and p = 0.30. P(x=6) = 15C6*0.3^6*0.7^9 = binompdf(15,0.3,6) = 0.1472 ----------------------------------- (B) Set up, without solving, the binomial probability P(x is at most 6) using probability notation. P(0<= x <=6) = binomcdf(15,0.3,6) = 0.8689 ====================== (C) How would you find the normal approximation to the binomial probability P(x = 6) in part A? Please show how you would calculate µ and σ in the formula for the normal approximation to the binomial, and show the final formula you would use without going through all the calculations. mean = np = 15*0.3 = 4.5 std = sqrt(npq) = sqrt(4.5*0.7) = 1.7748 --- P(x = 6) = P(5.5<= x <= 6.5) z(5.5) = (5.5-4.5)/1.7748 = 0.5634 Z(6.5) = (6.5-4.5)/1.7748 = 1.1269 --- Then approx P(x = 6) = P(0.5634< z < 1.1269) = 0.1567 =========== Cheers, Stan H. ==================
 Word_Problems_With_Coins/620082: Please Help i'd greatly appreciate it! Bob has a coin jar containing nickels, quarters, and one dollar coins. He has a total of 44 coins totaling \$9.75. And, he has five times as many nickels as he has one dollar coins. How many of each coin does he have? Write a system of equations that can be used to solve this problem. Define what your variables represent. (Nickel \$.05, Quarter \$.25) Thanks you!1 solutions Answer 389899 by stanbon(57347)   on 2012-06-12 08:59:38 (Show Source): You can put this solution on YOUR website!Bob has a coin jar containing nickels, quarters, and one dollar coins. He has a total of 44 coins totaling \$9.75. And, he has five times as many nickels as he has one dollar coins. How many of each coin does he have? ---- Quantity Eq::: n + q + d = 44 coins Value Eq::::: 5n +25q +100d= 975 cents Quantity Eq:: n + 0 - 5d = 0 ----------------------- Solve the system anyway you can to get: n = 25 q = 14 d = 5 =========== Cheers, Stan H. ===========
 Travel_Word_Problems/620087: One pipe can fill a tank in 36 minutes, a second can fill it in 9 minutes, and a third can fill it in 12 minutes. If the tank is empty, how long will the three pipes, operating together, take to fill it? 1 solutions Answer 389898 by stanbon(57347)   on 2012-06-12 08:53:31 (Show Source): You can put this solution on YOUR website! One pipe can fill a tank in 36 minutes, a second can fill it in 9 minutes, and a third can fill it in 12 minutes. If the tank is empty, how long will the three pipes, operating together, take to fill it? --- The rates are 1/36 ; 1/9 ; 1/12 Together rate is 1/x --- Equation: (1/36) + (1/9) + (1/12) = 1/x --- Multiply thru by 36x to get: x + 4x + 3x = 36 8x = 36 x = 4.5 minutes (time to do the job together) =============== Cheers, Stan H.