Chapters
1&2
Chapters
3&4
Chapters
5&6
Chapters
7, 8 & 9
Random
Final Jeopardy
$100 Question what are the dimensions of the following matrix?
[4 1 -3]
1 x 3
$100 Answer
$200 Question
Write an augmented matrix for the system 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+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:
[12 4 [103
8 8] and 249]
$100 Answer
[2232
2816]
$200 Question
Find the product:
[1 2 3 [3 1
-1 4 -2] and 4 -1
0 2]
$200 Answer
[11 5
13 -9]
$300 Question
True or False the following matrix:
[5 0
0 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 [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
14.207 years
$400 Question
Maximize P=40x1+60x2+50x3 subject
To the constraints
2x1+2x2+x3<8
X1-4x2+3x3<12
X1>0x2>0x3>0
P
X2[ 0
X3 0
P 1
$400 Answer x1 x2 x3 s1 s2 RHS
½
1 0 3/10 -1/10 6/5
1 0
40 0
1
0
2/5
38
1/5
4
28/5
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 company
Can incest money at 5% per annual b) What if it can invest at 7% per annum?
$500 Answer a) Purchase b) 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 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
.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 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
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
$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