JeopardyChapters 1&2

Chapters 3&4

Chapters 5&6

Chapters 7, 8 & 9

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Final Jeopardy

$100 Question

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

$100 Answer

1 x 3

$200 Question

Write an augmented matrix for thesystem of equations:{3x-4y=-6{2x-3y=-5

$200 Answer

[3 -4 -6

2 -3 -5]

$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+zY=2z+3

$400 Question

Solve using a calculator:{x-y+z=82x+3y-z=-23x-2y-9z=9}

$400 Answer

X=4Y=-3Z=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:[12 4 [1038 8] and 249]

$100 Answer

[22322816]

$200 Question

Find the product:[1 2 3 [3 1-1 4 -2] and 4 -1

0 2]

$200 Answer

[11 513 -9]

$300 Question

True or False the following matrix:[5 00 1] Is square

$300 Answer

true

$400 Question

[3a 24 [10a 30 3b 3 + -5b -10 =3c -6] -5c -]

$400 Answer

[13a 54-2b -7-2c -6]

$500 Question

[8 [21] + 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

14.207 years

$400 Question

Maximize P=40x1+60x2+50x3 subjectTo the constraints2x1+2x2+x3<8X1-4x2+3x3<12X1>0x2>0x3>0

$400 Answer

P x1 x2 x3 s1 s2 RHSX2[ 0 ½ 1 0 3/10 -1/10 6/5X3 0 1 0 1 2/5 1/5 28/5P 1 40 0 0 38 4 352]

$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 companyCan incest money at 5% per annualb) What if it can invest at 7% per annum?

$500 Answer

a) Purchaseb) 3387.21

$100 Question

Calculate the area under the normal curve between z= -2.75 and z= -1.35

$100 Answer

.086

$200 Question

A set of scores is normally distributed.How many scores would you expect to find between1 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 obtainAll correct answers by chance if he or she is guessing?

$400 Answer

.000000953

$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 timesG: 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: TimeContinuous, Quantitative

$300 Question

Find the number of times the face 5 is expected to occurIn a sequence of 2000 throws of a fair die.

$300 Answer

333.33 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 between30 and 52?

$500 Answer

.969