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Jeopardy

Jeopardy. Q $100. Q $100. Q $100. Q $100. Q $100. Q $200. Q $200. Q $200. Q $200. Q $200. Q $300. Q $300. Q $300. Q $300. Q $300. Q $400. Q $400. Q $400. Q $400. Q $400. Q $500. Q $500. Q $500. Q $500. Q $500. Final Jeopardy. $100 Question.

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Jeopardy

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  1. Jeopardy Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Q $500 Final Jeopardy

  2. $100 Question Find the line of best fit with the following points using a calculator: (0,10) (10,15) (20,18) (30,22) (40,29) (50,35)

  3. $100 Answer Y = .5x + 9.3

  4. $200 Question Suppose that the demand equation for a certain model of electric can openers is D= (-5/4)p + 16. At $2, 7 can openers are supplied. If the supply equation is linear and the market price is $4, find the supply equation.

  5. $200 Answer S= 2p + 3

  6. $300 Question It cost $10 to make a leather jacket with an overhead cost of $600. What is the breakeven point if each jacket is sold for $40.

  7. $300 Answer Breakeven Point is selling 20 leather jackets

  8. $400 Question Solve the System of equations: X – Y =36 X+ Z=5 -X –Y+Z=15

  9. $400 Answer X= 8.67 Y= -27.33 Z= -3.67

  10. $500 Question Food Perfect Corporation manufacture three model of the Perfect Foodprocessor. Each Model X processor requires 30 minutes of electrical assembly, 40 minutes of mechanical assembly, and 30 minutes of testing; each Model Y requires 20 minutes of electrical assembly, 50 minutes of mechanical assembly, and 30 miinutes of testing; and each Model Z requires 30 miutes of electrical assembly, 30 minutes of mechanical assembky and 20 minutes of testing. If 2500 minutes of electrical assembly, 3500 minutes of mechanical assembly, and 2400 minutes of testing are used in one day, how many of each model can be made?

  11. $500 Answer X= 40 Y= 20 Z = 30

  12. $100 Question Add the matrices together: 23 16 10 + 18 12 9 7 9 11 14 6 8

  13. $100 Answer • 28 19 • 21 15 19

  14. $200 Question Transpose the Matrix: 1 2 3 0 -1 2

  15. $200 Answer • 0 • -1 • 3 2

  16. $300 Question Find the corner points: Objective Function z = 15x + 20y subject to the constraints 3x +4y> 12 x < 5 y < 8 x > 0 y > 0

  17. $300 Answer Corner Points : (0,3) (0,8) (5,8) (5,0) (4,0)

  18. $400 Question  Find the corner points: Objective Function z = 5x + 2y subject to the constraints x +2y> 40 2x + y < 40 x + y < 10 x > 0 y > 0

  19. $400 Answer Corner Points= (0,10) (10,0) (0,20) (20,0) (40/3, 40/3)

  20. $500 Question A company manufactures three types of toys A, B and C. Toy A requires 2 rubber, 2 plastic and 4 aluminum. Toy B requires 1 rubber, 2 plastic and 2 aluminum. Toy C requires 1 rubber, 2 plastic and 4 aluminum. The company has available, 600 units of rubber, 800 units of plastic, and 1400 units of aluminum. The company makes a profit of $ 4, $3, $2 on toys A, B, and C. Assuming all toys manufactured can be sold, determine a production order so that profit is a Maximum.

  21. $500 Answer A= 200 B= 200 C= 0 Max Profit= $1400

  22. $100 Question A factory manufactures three types of refrigerators A, B and C. Refrigerator A requires 30 minutes in prep, 60 minutes on the assembly line and 15 minutes of inspection. Refrigerator B requires 30 minutes in prep, 40 minutes on the assembly line and 40 minutes of inspection. Refrigerator C requires 10 minutes in prep, 50 minutes on the assembly line and 5 minutes of inspection. The factory has available, 600 minutes in prep, 1800 minutes on the assembly line, and 400 minutes in inspection. The factory makes a profit of $ 400, $300, $200 on refrigerators A, B, and C. Assuming all refrigerators manufactured can be sold, determine a production order so that profit is a Maximum.

  23. $100 Answer A= 13.33 B= 0 C= 20 Max Profit= $9,333.33

  24. $200 Question What is the total amount of money in a savings account when compounded monthly at a rate of 6% after 3 years. The starting amount of money in the savings account is $1200.

  25. $200 Answer $1,436.02

  26. $300 Question Joan wants to start saving for retirement and deposits $200 a month at 10% compounded monthly for 40 years. After Joan retires, what is the largest amount she may withdraw monthly for 15 years?

  27. $300 Answer $ 13,591.78

  28. $400 Question Find p(A U B) given that p(A) = 4, p(B) = 3, and p(A and B)= 6

  29. $400 Answer 1

  30. $500 Question How many 7 digit number combinations can be created with the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 with no repeats?

  31. $500 Answer 604800

  32. $100 Question Find p(F I E) given: p(E) =.05 and p(F) =.10

  33. $100 Answer .1

  34. $200 Question Of the applicants to a medical school, 80% are eligible to enter and 20% are not. To aid in the selection process, an admissions test is given that is designed so that an eligible candidate will pass 90% of the, time, while an ineligible candidate will pass only 30% of the time. What is the probability that an applicant will pass the admissions test?

  35. $200 Answer 78%

  36. $300 Question Use the normal approximation to the binomial distribution to find the probability that at least 70 of the 100 sick people will be cured by a new drug, when the probability is .75 that any one of them will be cured by the new drug.

  37. $300 Answer 89.8%

  38. $400 Question Find a Z-score such that 30% of the area under the curve is to the left of the score.

  39. $400 Answer - . 524

  40. $500 Question A person plays a game in which there is a 1/5 probability of winning $150, a 1/3 chance of winning $50 and a 1/100 chance of winning $1000. On average, how much should the player expect to pay to play one fair game?

  41. $500 Answer $ 47.67

  42. $100 Question How many ways can a teacher arrange 6 girls and 4 boys?

  43. $100 Answer 17,280 different ways

  44. $200 Question Respondents to the survey= 439 298 chose blue 256 chose red 167 chose yellow 212 chose blue and red 87 chose blue and yellow 61 chose red and yellow 54 chose red, blue and yellow How many chose none and how many only chose red.

  45. $200 Answer None = 24 Red = 37

  46. $300 Question How many ways can a team of 6 girls and 15 boys are chosen from 20 girls and 50 boys.

  47. $300 Answer 87,242,154,330,000,000 different teams

  48. $400 Question from H5 Test scores of students have a mean of 70 and a standard deviation of 3. What will the probability be that one student picked at random will score between 80 and 90?

  49. $400 Answer .043%

  50. $500 Question from H5 A supposed wine taster claims she can distinguish between types of wine 80% of the time. You give her 10 glasses and tell her you will grant her claim if she correctly identifies at least 7 of the 10 glasses. What is the probability that her claim is justified?

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