Tutors Answer Your Questions about Linear-equations (FREE)
Question 1196086: (1 point) Consider the data in the following table.
Obs. X Y
1 7 27.2
2 11 46.4
3 11 46.2
4 18 82.2
5 22 102.2
6 23 106.2
7 27 127.2
8 27 126.2
9 32 151.8
10 35 166.4
Suppose that the relation between the variables Y and X is given by the following linear model:
Yi=α+β Xi+ ui
Compute the following.
Σni=1XiYi=
Σni=1X2i=
Σni=1Xi=
Σni=1Yi=
(Σni=1Yi)(Σni
Σni=1xiyi=
Σni=1x2i=
α^=
β^=
∑ni=1u^i=
∑ni=1u^2i=
Click here to see answer by ikleyn(52781)   |
Question 1196652: Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 3 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 99?
Click here to see answer by MathLover1(20849)  |
Question 1196657: Two factory plants are making TV panels. Yesterday, Plant A produced 6000 fewer panels than Plant B did. Three percent of the panels from Plant A and 4% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 800 defective panels?
Click here to see answer by math_tutor2020(3816) |
Question 1196657: Two factory plants are making TV panels. Yesterday, Plant A produced 6000 fewer panels than Plant B did. Three percent of the panels from Plant A and 4% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 800 defective panels?
Click here to see answer by MathLover1(20849) |
Question 1196766: Hi! I need help for a project so I could take my final exam. I would really appreciate all the help I could get. Thank you so much.
Problem: Blue strand wire rope is the top seller of the company. TSD has to make a production schedule. To create product a blue strand wire rope, 3 machines are need. For wire rope #1 (BSWR 6x36 IWRC), it needs 19 coils of wires and 3 hours of production, while for wire rope #2 (BSWR 6x19 IWRC), 14 coils of wires and 4 hours of production. Wire rope #1 is sold for PhP 64,500 while wire rope #2 is sold for PhP 10,500. How many rolls of wire rope #1 and #2 does TSD has to schedule in the production to maximize the monthly sales while being limited to 6 machines, 2,006 coils of wires and 1,248 hours production?
VARIABLES:
Wire Rope #1
3 machines
19 coils of wire
3 hours of production
PhP 64,500 selling price
Wire Rope #2
3 machines
14 coils of wire
4 hours of production
PhP 10,500 selling price
CONSTRAINTS
6 machines
2,006 coils of wires
1,248 hours of production
OBJECTIVE FUNCTION:
Max: 64,500X1 + 10,500X2
Subject to: 1X1 + 1X2 = 6
19X1 + 14X2 ≤ 2,006
3X1 + 4X2 ≤ 1,248
X1 ≥ 0
X2 ≥ 0
Click here to see answer by ikleyn(52781) |
Question 1196877: A candidate for the position of governor of a midwestern state
has an advertising budget of $1.5 million. The candidate's advisors have identified four advertising options: newspaper advertisements, radio commercials, television commer-cials, and billboard advertisements. The costs for these media options average $1,500, $2,500, $10,000, and $7,500, respectively. If s, equals the number of units purchased of media option :
(a) Write an equation which requires total advertising expenditures of $1.5 million.
(6) Ifit has been determined that 100 newspaper ads, 300 radio ads, and 50 billboard ads will be used, how many television ads can they purchase?
(c) If 50 billboard ads are to be purchased, what is the maximum number of newspaper ads that can be purchased? Maximum number of radio ads? TV ads?
Click here to see answer by greenestamps(13200)  |
Question 1197098: Leslie bought 3 identical phone cases for a total cost of $20.97 including a $6.99 flat rate fee for shipping. What equation could be used to find the cost for each cell phone case, c?
A.3c + 6.99 = 20.97
B.3(c + 6.99) = 20.97
C.3/c− 6.99 = 20.97
D. c =20.97+ 6.99/3
Click here to see answer by ewatrrr(24785)  |
Question 1197098: Leslie bought 3 identical phone cases for a total cost of $20.97 including a $6.99 flat rate fee for shipping. What equation could be used to find the cost for each cell phone case, c?
A.3c + 6.99 = 20.97
B.3(c + 6.99) = 20.97
C.3/c− 6.99 = 20.97
D. c =20.97+ 6.99/3
Click here to see answer by math_tutor2020(3816) |
Question 1197140: Linear Regression
The table below shows the value,
V
, of an investment (in dollars)
n
years after 1990.
n
1 3 7 12 14 19
V
21120 20148.8 19440 18581.2 17480 15276
Determine the linear regression equation that models the set of data above, and use this equation to answer the questions below. Round to the nearest hundredth as needed.
Based on this regression model, the value of this investment was $
in the year 1990.
Based on the regression model, the value of this investment is
Select an answer
at a rate of $
per year.
Click here to see answer by math_tutor2020(3816) |
Question 1197246: Two factory plants are making TV panels. Yesterday, Plant A produced 6000 fewer panels than Plant B did. Five percent of the panels from Plant A and 4% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 690 defective panels?
Click here to see answer by ikleyn(52781) |
Question 1197369: Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 10 gallons of fuel, the airplane weighs 2055 pounds. When carrying 42 gallons of fuel, it weighs 2231 pounds. How much does the airplane weigh if it is carrying 46 gallons of fuel?
Click here to see answer by josgarithmetic(39617) |
Question 1197369: Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 10 gallons of fuel, the airplane weighs 2055 pounds. When carrying 42 gallons of fuel, it weighs 2231 pounds. How much does the airplane weigh if it is carrying 46 gallons of fuel?
Click here to see answer by ikleyn(52781) |
Question 1197400: Richie and Phoebe are saving money to buy a new tv. They need at least $510 to purchase the new TV. Phoebe weeds yards and Richie walks dogs to earn money. Phoebe charges $12 each time she weeds a yard and Richie charges $9 each time he walks a dog. The number of dog walks that Richie has scheduled is no more than twice the number of yards Phoebe has scheduled to weed. Richie will walk at least 25 dogs.
Click “show your work” below write a set of constraints to model the problem, with x representing the number of lawns weeded and y representing the number of dogs walked. (HINT: there are 3 constraint equations).
Click here to see answer by ikleyn(52781) |
Question 1197400: Richie and Phoebe are saving money to buy a new tv. They need at least $510 to purchase the new TV. Phoebe weeds yards and Richie walks dogs to earn money. Phoebe charges $12 each time she weeds a yard and Richie charges $9 each time he walks a dog. The number of dog walks that Richie has scheduled is no more than twice the number of yards Phoebe has scheduled to weed. Richie will walk at least 25 dogs.
Click “show your work” below write a set of constraints to model the problem, with x representing the number of lawns weeded and y representing the number of dogs walked. (HINT: there are 3 constraint equations).
Click here to see answer by Theo(13342)  |
Question 1197609: The following table shows the average life expectancy, in years, of a child born in the
given year.
Year Life Expectancy
2005 77.6
2007 78.1
2009 78.5
2011 78.7
2013 78.8
a. Find the equation of the regression line, and explain the meaning of its slope.
b. Plot the data points and the regression line.
c. Explain in practical terms the meaning of the slope of the regression line.
d. Based on the trend of the regression lines, what do you predict as the life
expectancy of a child born in 2019?
e. Based on the trend of the regression line, what do you predict as the life
expectancy of a child born in 1580? 2300?
Click here to see answer by ewatrrr(24785) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045
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