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

$100 Question what are the dimensions of the following matrix? [41-3]

$100 Answer 1 x 3

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

$200 Answer [ ]

$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 }

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

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

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

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

$500 Answer Y=-8x+7

$100 Question Find the product of: [124 [103 88] and 249]

$100 Answer [ ]

$200 Question Find the product: [123 [ ] and ]

$200 Answer [ ]

$300 Question True or False the following matrix: [50 01] Is square

$300 Answer true

$400 Question [3a24 [10a30 3b3 + -5b-10 = 3c-6] -5c-]

$400 Answer [13a54 -2b-7 -2c-6]

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

$500 Answer [10]

$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…

$100 Answer 10,408.11

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

$200 Answer 14.8%

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

$300 Answer years

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

$400 Answer Px1x2x3s1s2RHS X2[0½103/10-1/106/5 X301012/51/528/5 P ]

$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. a)Which alternative is preferable if the company Can incest money at 5% per annual b) What if it can invest at 7% per annum?

$500 Answer a)Purchase b)

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

$100 Answer.086

$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?

$200 Answer 408

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

$300 Answer 20%

$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?

$400 Answer

$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?

$500 Answer Not independent

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

$100 Answer True

$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.

$200 Answer Variable: Time Continuous, Quantitative

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

$300 Answer times

$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?

$400 Answer Yes, independent

$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?

$500 Answer.969