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 t e s t/718171: explain why this is or is nor a probability? x=1,2,3,4 p(x)=0.2,0.3,0.4,0.11 solutions Answer 440782 by josmiceli(9686)   on 2013-02-24 11:39:14 (Show Source): You can put this solution on YOUR website!It can't be a probability because the maximum value for a probability is 1. This means that something is 100% certain to happen. So, 2,3 and 4 are not probabilities. It is OK to have . That means there is no probability at all that a certain event will happen. is OK, too. This says there is a 1 out of 10 chance that something will happen.
 Probability-and-statistics/718059: ok it says: of the water lilies in the pond 43% are yellow. The others are white. A frog randomly jumps on to a lily. Describe the complement of the frog landing on a yellow lily and find it propability. PLEASE PEASE PLEASE HELP ME!!!1 solutions Answer 440734 by josmiceli(9686)   on 2013-02-24 05:23:00 (Show Source): You can put this solution on YOUR website!If 43% are yellow, the 57% are white The complement of landing on a yellow is landing on a white. The frog has 57/100 probability of landing on a white lilly. --------------- Note that this only works if there is 0 probability that the frog will miss both kinds and land in the water. The frog has to be a good jumper. --------------- Note also that the total of probabilities must add up to 1, and it does 43/100 + 57/100 = 100/100 43/100 + 57/100 = 1 OK
 Rate-of-work-word-problems/718048: if a man and a boy can do a work in 8 days,this work can do 2 man and 4 boy in 3 days .how many days it will takes if a man or a boy do alone?1 solutions Answer 440733 by josmiceli(9686)   on 2013-02-24 05:15:14 (Show Source): You can put this solution on YOUR website!Let = the rate that the man works Let = the rate that the boy works Add their rates to get rate working together ( 1 job ) / ( 8 days ) is rate working together, so (1) ----------------------------- Then you are given the case with 2 times the rate for a man and 4 times the rate for a boy (2) ------------------------------- Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) (1) (1) (1) ------------------------ A man, working alone can do 1 job in 12 days A boy, working alone, can do 1 job in 24 days ----------------- check the answer: (2) (2) (2) (2) OK
 Mixture_Word_Problems/718014: Question: A store mixes Kenyan coffe worth \$12 per kilogram, and Venezuelan coffee worth \$16 per kilogram. The mixture is to sell for \$13 per kilogram. How much of each should be used to make a 312 kilogram mixture?1 solutions Answer 440673 by josmiceli(9686)   on 2013-02-23 21:21:52 (Show Source): You can put this solution on YOUR website!Let = kg of Kenyan coffee needed Let = kg of Venezuelan coffee needed given: (1) (2) ---------------------------- (2) (2) Divide through by (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) 234 kg of Kenyan coffee are needed 78 kg of Venezuelan coffee are needed check: (2) (2) (2) OK
 test/717935: A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 20 miles per gallon of gas. During one particular week, the two cars went a combined total of 850 miles, for a total gas consumption of 35 gallons. How many gallons were consumed by each of the two cars that week? First Car = Second Car =1 solutions Answer 440594 by josmiceli(9686)   on 2013-02-23 16:04:26 (Show Source): You can put this solution on YOUR website!Let = distance in miles the 1st car travels = distance in miles the 2nd car travels ----------- In words: ( miles ) / ( miles/gallon ) = gallons Using this fact: Multiply both sides by ------------ For 1st car: gallons consumed = gallons consumed = gallons consumed = For 2nd car: gallons consumed = gallons consumed = gallons consumed = gallons consumed = ------------------------ check: OK
 Rate-of-work-word-problems/717942: 4 men can build a shed in 12 days. How many men will it take to build the same shed in 3 days1 solutions Answer 440593 by josmiceli(9686)   on 2013-02-23 15:46:34 (Show Source): You can put this solution on YOUR website!4 men can build a shed in 12 days. 4 times as many men can do the same work in 1/4 the time 16 men can build the shed in 3 days
 Travel_Word_Problems/717863: You run at a rate of 5 miles per hour and your friend runs at a rate of 4 miles per hour. Your friend starts 2 miles farther along the trail than you do. If you both start running at the same time, in how many minutes will you catch your friend?1 solutions Answer 440590 by josmiceli(9686)   on 2013-02-23 15:32:12 (Show Source): You can put this solution on YOUR website!Let = the time in hours from when they both start running to when you catch your friend Let = the distance that you have to travel until you catch your friend ----------------------- Your equation: (1) Your friend's equation: (2) ---------------- Substitute (1) into (2) (2) (2) In 120 minutes, you will catch your friend check: (1) (1) (1) mi and (2) (2) (2) (2) mi OK
 Graphs/717760: find the slope of (2, -1) and (6,3) 1 solutions Answer 440507 by josmiceli(9686)   on 2013-02-22 22:24:32 (Show Source): You can put this solution on YOUR website!(2,-1) and (6,3) slope = ( change in y ) / ( change in x ) slope = slope = slope =
 Travel_Word_Problems/717759: A cattle rancher is going to sell one of his prize bulls at an auction and would like to make \$81,900 after paying a 9% commission to the auctioneer. For what selling price will the rancher make this amount of money1 solutions Answer 440506 by josmiceli(9686)   on 2013-02-22 22:18:58 (Show Source): You can put this solution on YOUR website!Let = the selling price given: The rancher's selling price is \$90,000
 Mixture_Word_Problems/717756: can you help i keep getting a negative peanuts sell for three dollars a pound cashews sell for six dollars a pound how many pounds of cashews should be mixed with tweleve pounds of peanuts to obtain a mixture selling for four dollars and twenty cents a pound1 solutions Answer 440502 by josmiceli(9686)   on 2013-02-22 22:13:07 (Show Source): You can put this solution on YOUR website!Let = pounds of cashews to be used = cost of cashews used = cost of peanuts used --------------- 8 pounds of cashews should be used check answer: OK
 Graphs/717644: One year after a celebrity first started posting comments on a website she had 27,000 followers. Three years after this celebrity began posting comments, she had 99,200 followers. (a) Find the slope of the line that passes through the points 1,27000 and 3,99200 (b) Interpret the slope as a rate of change Thus the slope is...?? Type as integer or simplified fraction This problem was TROUBLE for me. THANK YOU for your help!!!! :) 1 solutions Answer 440476 by josmiceli(9686)   on 2013-02-22 20:46:05 (Show Source): You can put this solution on YOUR website!Number of followers is plotted on the vertical axis Years is plotted on the horizontal axis Slope is ( change in y ) / ( change in x ) slope = slope = slope = The slope is change in the number of followers / year Each year, there are 36,100 more followers than in the previous year
 Numbers_Word_Problems/717468: find five even consecutive numbers such that the first,third,and fifth add to 721 solutions Answer 440305 by josmiceli(9686)   on 2013-02-21 21:37:37 (Show Source): You can put this solution on YOUR website!The 5 consecutive even numbers ar , , , , The sum of the 1st, 3rd, and 5th is The numbers are: 20,22,24,26, and 28 ------------------- check: OK
 Word_Problems_With_Coins/717466: How many nickels are in 16 dimes1 solutions Answer 440303 by josmiceli(9686)   on 2013-02-21 21:26:36 (Show Source): You can put this solution on YOUR website!There are 2 nickels/dime ( 16 dimes ) x ( 2 nickels/dime ) = 32 nickels
 test/717449: The class had a budget of \$800 for the trip. They had reserved 55% of the money for food and beverages. The remainder of the money was used for transportation. If tranportation costs \$2.25, how many students were able to participate? Show your work. and give maximum number of students.1 solutions Answer 440301 by josmiceli(9686)   on 2013-02-21 21:24:12 (Show Source): You can put this solution on YOUR website!55% was for food and drinks 45% was for transportation 160 students maximum
 Geometry_Word_Problems/717460: A SQUARE FIELD HAS AN AREA OF 900 SQUARE METRES. WHAT IS ITS PM 1 solutions Answer 440299 by josmiceli(9686)   on 2013-02-21 21:02:30 (Show Source): You can put this solution on YOUR website!Let a side = m2 m ----------- The formula for perimeter of a square is m
 Word_Problems_With_Coins/717458: If you have fifty quarters how many dollars do you have?1 solutions Answer 440296 by josmiceli(9686)   on 2013-02-21 20:59:19 (Show Source): You can put this solution on YOUR website!4 quarters make a dollar You have \$12.50
 Polynomials-and-rational-expressions/717445: Can you please simply this and show steps? (a² + 4a²) + (a³ - 5a² + 7a) 1 solutions Answer 440295 by josmiceli(9686)   on 2013-02-21 20:56:23 (Show Source):
 Numbers_Word_Problems/717436: how do I work this? the sum of half a number, three times the number,and three-fifths the number is equal to the number minus five.1 solutions Answer 440291 by josmiceli(9686)   on 2013-02-21 20:47:05 (Show Source): You can put this solution on YOUR website!Let = the number Multiply both sides by -------------- check answer: close enough
 test/717294: The distance between two towns on a map is 2 centimeters. The actual distance between those two towns is 235 miles. What is the actual distance between two towns that are 7 centimeters apart on the map? 1 solutions Answer 440197 by josmiceli(9686)   on 2013-02-21 17:20:00 (Show Source): You can put this solution on YOUR website!Set up ratio The actual distance is 822.5 mi
 Money_Word_Problems/717291: your friend works as a waitress at a local restaurant. her income consists of an hourly wage plus tips.on wendsday your friend earns \$25 in tips over a five hour period. on friday your friend earned \$30.76 in tips over a 3 hour period. how much is your friends hourly wage if your friend earned the same amount of money on wednsday as on friday?1 solutions Answer 440195 by josmiceli(9686)   on 2013-02-21 17:14:39 (Show Source): You can put this solution on YOUR website!Let = her hourly wage On wednesday, Her income is On friday, Her income is given: Her hourly wage is \$2.88/hr
 Linear-equations/717257: i need help solving system of linear equations and inequalities the word problems. Here is the problem..... The manager of a gourmet coffee and tea store is mixing two green teas, one worth \$7 per pound and the other worth \$9 per pound. He wants to obtain 32 pounds of tea worth 8.50 per pound. How much of each tea should he use?1 solutions Answer 440192 by josmiceli(9686)   on 2013-02-21 17:06:59 (Show Source): You can put this solution on YOUR website!Let = pounds of \$7/lb tea needed Let = pounds of \$9/lb tea needed = cost of \$7/lb tea used = cost of \$9/lb tea used -------------- (1) (2) -------------------------- (2) (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) 8 pounds of \$7/lb tea are needed 24 pounds of \$9/lb tea are needed check answer: (2) (2) (2) (2) OK
 Points-lines-and-rays/717256: a window had a length of 110 feet and width of 120. what is the area of the window1 solutions Answer 440185 by josmiceli(9686)   on 2013-02-21 16:35:50 (Show Source): You can put this solution on YOUR website! ft ft ft2 ft2 ft2
 Numbers_Word_Problems/717264: The selling price of a bicycle is \$168. The profit is 40% of the manufacturer's cost. find the manufacturer's cost of the bicycle.1 solutions Answer 440184 by josmiceli(9686)   on 2013-02-21 16:33:49 (Show Source): You can put this solution on YOUR website!Let = manufacturer's cost Let = profit Selling price = cost + profit given: The manufacturer's cost was \$120
 Evaluation_Word_Problems/717260: find the slope of a line perpendicular to the line that passes through the following points. ((4,11) and (-2,1)1 solutions Answer 440183 by josmiceli(9686)   on 2013-02-21 16:26:54 (Show Source): You can put this solution on YOUR website!(4,11) and (-2,1) 2 points are all you need to find the slope, slope = ( change in y ) / ( change in x ) The slope that is perpendicular to this slope is answer
 Angles/717112: Sheila needs to determine the equation of a line passing through the point (–6, –2) that is perpendicular to y = 2x– 4. Which equation best represents Sheila's equation?1 solutions Answer 440104 by josmiceli(9686)   on 2013-02-21 10:52:24 (Show Source): You can put this solution on YOUR website!The slope of the line is Any line which is perpendicular to the line will have slope --------------- (-6,-2) Use the general point-slope formula Multiply both sides by ------------------ check answer: Does it go through (-6,-2) ? OK ------ Here's a plot of the 2 lines:
 Average/717121: How do I calculate \$39,000 is 88% of what?1 solutions Answer 440097 by josmiceli(9686)   on 2013-02-21 10:36:57 (Show Source): You can put this solution on YOUR website! Divide both sides by \$44,318.18
 percentage/717004: Best buy is having a 20% off sale. If you save \$10 on an item, what is the items original price?1 solutions Answer 440058 by josmiceli(9686)   on 2013-02-20 23:55:29 (Show Source): You can put this solution on YOUR website!You are given that 20% off is \$10 Let = original price The original price was \$50
 Circles/717014: How do I find the circumference of a circle when I only know the area? I know the area is 64pi miles^2. How do I use that information to find the circumference? Also is the 64 the radius or the diameter?1 solutions Answer 440057 by josmiceli(9686)   on 2013-02-20 23:52:41 (Show Source): You can put this solution on YOUR website!The formula for area is You can solve this for radius You are given that , so --------- The formula for circumference is answer
 Matrices-and-determiminant/716949: An engine has a 6.6 litre capacity cooling system. If the most ideal solution of antifreeze for this engine is a 57.6 % solution (a mix of 57.6 % pure antifreeze and 42.4 % water). How much pure antifreeze (in litres) must be combined with a 29.4 % solution to achieve 6.6 litres of the ideal solution? 1 solutions Answer 440051 by josmiceli(9686)   on 2013-02-20 21:40:43 (Show Source): You can put this solution on YOUR website!Let = liters of pure antifreeze to be used Let = liters of 29.4% solution to be used = liters of pure antifreeze in 29.4% solution --------------- given: (1) (2) ----------------------------- (2) (2) (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) 2.6374 liters of pure antifreeze must be used check answer: (2) (2) (2) (2) OK- I think error is due to rounding off
 Matrices-and-determiminant/716951: An airplane begins a flight with a total of 136 litres of fuel stored in two separate wing tanks. During the flight 26.7% of the fuel in one tank is used. In the other tank, 45.6% of the fuel is used. If 41 litres of fuel is used in total, find the amount of fuel (in litres) in each tank remaining at the end of the trip.1 solutions Answer 440041 by josmiceli(9686)   on 2013-02-20 21:17:02 (Show Source): You can put this solution on YOUR website!Let = liters of fuel in 1st tank at beginning Let = liters of fuel in 2nd tank at beginning liters is used from 1st tank liters is used from 2nd tank ------------- given: (1) (2) ------------------------ (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) (1) -------------------- and --------------------- 81.5065 liters is left in 1st tank 13.4935 liters is left in 2nd tank ------------ check answers (2) (2) (2) (2) close enough
 Geometry_Word_Problems/716825: Find the coordinates of the midpoint of the segment whose endpoints are H(8,2) and K(6,10).1 solutions Answer 440006 by josmiceli(9686)   on 2013-02-20 17:48:03 (Show Source): You can put this solution on YOUR website!The x-coordinate of the midpoint is The y-coordinate of the midpoint is ------------ ( , ) = ( 7,6 )