Questions on Word Problems: Mixtures answered by real tutors!

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Question 73014: If a couple plans to have ten children, how many gender sequences are possible?

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Question 73015: A company ships computer components in boxes that contain 30 items. Assume that the probability of a defective computer component is 0.2. Use the geometric variance to find the variance of the defective parts.
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Question 73016: You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten. Round your answer to three decimal places.
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Question 73016: You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten. Round your answer to three decimal places.
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Question 73047: How many liters of a 20% alcohol solution and a 10% alcohol solution should be mixed to obtain 50 liters of a 12% alcohol solution?
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Question 73130: Decide whether the experiment is a binomial experiment. If it is not, explain why. Each week, a lottery player plays the Daily Three in the California lottery. The random variable is the number of times per year the player wins.
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Question 73127: How many versions of a test are required to cover all possible question arrangements if there are nine open-ended questions on the test?
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Question 73141: How many kg of water must be evaporated from 50kg of a 10% salt solution to obtain a 15% salt solution?
This was given to me out of a GEPA math tutorial book.

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Question 73318: Elementary & Intermediate Algebra: Angela needs 20 quarts of 50% antifreeze solutioin in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of a 40% antifreeze solution. How many quarts of each should she use?
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Question 73299: Mr.Nelson lost one of his students test papers. He knos thar thre other 4 students scored as follows: 12,20,21,12. He know that the average score is 19.4.What the score on the missing paper.
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Question 73366: jackie's average mark on her 3 tests was 78.the makrk on test one was 86. her averge mark on the fist two was 3 more thn her mark on the third.what marks did she recieve on her second and third test?
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Question 73444: 9)Northern Maywood voted 60% to 40% in favor of a water project. Southern Maywood voted 90% to 10% against the project. The project passed 55% to 45%. If 5900 people voted, how many were from Southern Maywood? The percentages confused me. I didn't know how to set up the equation.
10) An employer has a daily payroll of $1950 when employing some workers at $120 per day and others at $150 per day. When the number of $120 workers is increased by %50 and the number of $150 workers is decreased 1/5, th new daily payroll is $2400. Find how many workers were originally employed at each rate.

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Question 73623: You observe the gender of the next 100 babies born at a local hospital. You count the number of girls born. Identify the n, p, and q, and list the possible values of the random variable x.
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Question 73622: The random variable x represents the number of boys in a family of three children. Assuming the boys and girls are equally likely, (a) construct a probability distribution, and (b) graph the distribution.
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Question 73871: How many gallons of a 40% alcohol solution must be mixed with 70 gallons of a 21% slution to obtain a solution that is 30% alcohol
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Question 73871: How many gallons of a 40% alcohol solution must be mixed with 70 gallons of a 21% slution to obtain a solution that is 30% alcohol
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Question 73913: A stamp collection consists of 5, 13, and 18 cent stamps. The number of 13 cent stamps is one less than twice the number of 5 cent stamps. The number of 18 cent stamps is five more than the number of 13 cent stamps. The total value of all the stamps is $2.60. Find the number of 13 cent stamps in the collection
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Question 73912: How many pounds of hamburger that costs $1.10 per pound must be mixed with 50 pounds of hamburger that costs $1.80 per pound to make a mixture that costs $1.30 per pound?
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Question 73967: I have spent about an hour on this mixture problem and can't seem to get the correct formula. Please help.
A service station manager is going to blend high octane gasoline worth 63 cents per gallon with low octane gasoline with 51 cents per gallon. If the resulting mixture is 210 gallons of gasoline, express the total value V of the mixture (in cents) as a function of the number of gallons x of high octane gasoline used.

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Question 74506: How many liters of a 14% alcohol solution must be mixed with 20 liters of a 50% solution to get a 30% solution?
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Question 74504: A contractor mexes concrete from bags of pre-max for small jobs. How many bags with 10% cement should he mix with 8 bags of 12.5% cement to produce a mix containing 11% cement?
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Question 74584: If you mix 140mL of a 60% acid solution with 200 mL of a 30% solution you get a 40 mL of a _______% solution.
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Question 74584: If you mix 140mL of a 60% acid solution with 200 mL of a 30% solution you get a 40 mL of a _______% solution.
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Question 74583: What quantity of 60% acid solution must be mixed with 30% solution to produce 300mL of a 50% solution?
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Question 74474: I have tried this problem several times and keep seem to come up with the right formula:
If I want to make the perfect 12 oz cup of chocolate milk, it requires that the mixture is 42% Hershey's Syrup. What I have right now is 8oz of a milk/syrup mixture that I know contains 30% syrup. What must the syrup concentration be in the remaining mixture that I must add in order to achieve perfection?

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Question 74642: Assume that the salaries of elemetary school teachers in the United States are
normally distributed with a mean of $32,000 and a standard deviation of $ 3000.
If a teacher is selected at random, find the probability that he or she makes more than $36,000.

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Question 74649: SAT scores have a mean of 1026 and a standard deviation of 209. ACT scores have a mean of 20.8 and a standard deviation of 4.8. A student takes both test and scores 1130 on the SAT and 25 on the ACT. Compare the scores.
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Question 74645: Lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 16 days. Use the Emperical Rule to determine the percentage of women whose pregnancies are between 252 and 284 days.
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Question 74645: Lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 16 days. Use the Emperical Rule to determine the percentage of women whose pregnancies are between 252 and 284 days.
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Question 74709: How many pounds of a chicken feed that is 50% corn must be mixed with 400 lb of a feed that is 80% corn to make a chicken feed that is 75% corn?
ISBN-978-0-618-50307-0 Intro-Algebra

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Question 74730: Solve each of the following problems. Be sure to show the equations used for the solution.
Business and finance. A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?

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Question 74733: How many gallons of a plant food that is 9% nitrogen must be combined with another plant food that is 25% nitrogen to make 10 gal. of a solution that is 15% nitrogen?
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Question 74741: How much water must be added to a barrel containing 48 gallons of a 10% salt solution to obtain a 6% salt solution?
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Question 74742: This is the last one, I promise.
How many ounces of pure bran flakes must be added to 50 oz. of cereal that is 40% bran flakes to produce a mixtue that is 50% bran flakes?
Thanks so much for your help. I can now maybe do something else.
Jane

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Question 74740: A hair dye is made by blending a 7% hydrogen peroxide solution and a 4% hydrogen peroxide solution. How many milliliters of each are used to make a 300-millilter solution that is 5% hydrogen peroxide?
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Question 74854: If you mix 140mL of a 60% acid solution with 200 mL of a 30% solution yu get a 340 mL of a _____% solution.
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Question 74854: If you mix 140mL of a 60% acid solution with 200 mL of a 30% solution yu get a 340 mL of a _____% solution.
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Question 74968: Science and medicine. A pharmacist wishes to prepare 150 mL of a 20% alcohol
solution. She has a 30% solution and a 15% solution in her stock. How much of each should be used in forming the desired mixture?

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Question 74981: Ten cups of a restaurants' house Italian dressing is made by blending olive oil costing $1.50 per cup with vinegar that costs $.25 per cup. How many cups of each are used if the cost of the blend is $.50 per cup?
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Question 75758: The vat contained 40 liters of a 5 percent salt solution. How much of a 20 percent salt solution should be added to get a 10 percent salt solution?
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Question 75951: How many pounds of coffee worth 1.44 a pound should be mixed with 20 pounds worth 1.80 a pound a mixture worth 1.56 a pound?
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Question 76086: A telephone number consist of seven digits the first three representing the exchange. How many different telephone numbers are possible with in the 537 exchange?
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Question 76674: A chemist needs 130 milliliters of a 65% solution but has only 56% and 95% solutions available. Find how many millimeters of each that should be mixed to get the desired solution.
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Question 76730: Martha can rake the leaves in her yard in 5 hours. Her younger brother can do the job in 6 hours How long will it take if they work together?
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Question 77099: 38. Mixture of Medicine.
The dosage of a medicine ordered by a doctor is 40 milliliters (ml) of a 16% solution. A nurse has available both a 20% solution and a 4% solution of this medicine. How many milliliters of each could be mixed to prepare this 40-ml dosage?

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