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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 what are the dimensions of the following matrix? [4 1 -3]

  3. $100 Answer 1 x 3

  4. $200 Question Write an augmented matrix for the system of equations: {3x-4y=-6 {2x-3y=-5

  5. $200 Answer [3 -4 -6 2 -3 -5]

  6. $300 Question Solve the system of equations by finding the reduced row echelon form of the augmented matrix {2x-3y+4z=7 x-2y+3z=2}

  7. $300 Answer X=8+z Y=2z+3

  8. $400 Question Solve using a calculator: {x-y+z=8 2x+3y-z=-2 3x-2y-9z=9}

  9. $400 Answer X=4 Y=-3 Z=1

  10. $500 Question Find the equation for the line having the given properties: Slope -8 ; y-intercept (0,7)

  11. $500 Answer Y=-8x+7

  12. $100 Question Find the product of: [12 4 [103 8 8] and 249]

  13. $100 Answer [2232 2816]

  14. $200 Question Find the product: [1 2 3 [3 1 -1 4 -2] and 4 -1 0 2]

  15. $200 Answer [11 5 13 -9]

  16. $300 Question True or False the following matrix: [5 0 0 1] Is square

  17. $300 Answer true

  18. $400 Question [3a 24 [10a 30 3b 3 + -5b -10 = 3c -6] -5c -]

  19. $400 Answer [13a 54 -2b -7 -2c -6]

  20. $500 Question [8 [2 1] + 9] =

  21. $500 Answer [10]

  22. $100 Question The amount A that results from investing a principal P of $10,000 at an annual rate r of 4% Compounded continously for a time t of 1 year is…

  23. $100 Answer 10,408.11

  24. $200 Question What annual rate of interest compounded annually should You seek if you want to double your investment in 5 years?

  25. $200 Answer 14.8%

  26. $300 Question How long will it take for an investment to double in value if it earns 5% compounded annually?

  27. $300 Answer 14.207 years

  28. $400 Question Maximize P=40x1+60x2+50x3 subject To the constraints 2x1+2x2+x3<8 X1-4x2+3x3<12 X1>0x2>0x3>0

  29. $400 Answer P x1 x2 x3 s1 s2 RHS X2[ 0 ½ 1 0 3/10 -1/10 6/5 X3 0 1 0 1 2/5 1/5 28/5 P 1 40 0 0 38 4 352]

  30. $500 Question • A company may obtain a copying machine either by • leasing it for 4 years (the useful life) at an annual cost of • $1000 or by purchasing the machine for $3000. • Which alternative is preferable if the company • Can incest money at 5% per annual • b) What if it can invest at 7% per annum?

  31. $500 Answer • Purchase • 3387.21

  32. $100 Question Calculate the area under the normal curve between z= -2.75 and z= -1.35

  33. $100 Answer .086

  34. $200 Question A set of scores is normally distributed. How many scores would you expect to find between 1 standard deviation above and below the mean?

  35. $200 Answer 408

  36. $300 Question Determine the probability of E for the given odds: 4 to 1 against E

  37. $300 Answer 20%

  38. $400 Question In a 20 item true-false exam: What is the probability that a student will obtain All correct answers by chance if he or she is guessing?

  39. $400 Answer .000000953

  40. $500 Question A mouse is put through a T-maze 3 times and can run right or left. Define events E and G as follows: E: Run to the right 2 or more consecutive times G: Run to the left on the first trial Are E and G independent?

  41. $500 Answer Not independent

  42. $100 Question True or False: {2,1} = [{1} U {2}]

  43. $100 Answer True

  44. $200 Question State the variable in the following experiments and determine whether it is continuous or discrete. Measure the length of time a smoker can blow into a tube before taking a breath.

  45. $200 Answer Variable: Time Continuous, Quantitative

  46. $300 Question Find the number of times the face 5 is expected to occur In a sequence of 2000 throws of a fair die.

  47. $300 Answer 333.33 times

  48. $400 Question If E and F are two events such that P(E) =.25, P(F)=.36, And P(EUF)=.09, are E and F independent?

  49. $400 Answer Yes, independent

  50. $500 Question Suppose the number of items produced in a factory has a mean of 40 and a variance of 25. What is the Probability that this week’s production will be between 30 and 52?

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