AnswersMathematics III ABinomial Distribution

Binomial Distribution — Cumulative exam Answers

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21
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What is the value of A in the matrix equation below?

Question illustration
A
mc023-2.jpg
Option A
B
mc023-3.jpg
Option B
C
mc023-4.jpg
Option C
D
mc023-5.jpg
Option D
22
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Which of the following is the inverse of ?

Question illustration
A
y = log Subscript one-twelfth Baseline x
Option A
B
y = log Subscript 12 Baseline StartFraction 1 Over x EndFraction
Option B
C
y = log Subscript x Baseline 12
Option C
D
y = log Subscript 12 Baseline x
Option D
23

Which expression is equivalent to ? Assume x 0 and .

Question illustration
A
StartFraction 4 x (RootIndex 4 StartRoot y squared EndRoot) Over 9 EndFraction
Option A
B
StartFraction 2 x (RootIndex 4 StartRoot y squared EndRoot) Over 3 EndFraction
Option B
C
StartFraction 4 x squared y Over 9 EndFraction
Option C
D
StartFraction 2 x squared y Over 3 EndFraction
Option D
24

Which expression is equivalent to ? Assume .

Question illustration
A
(x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline)
Option A
B
(x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline)
Option B
C
(x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline)
Option C
D
(x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline)
Option D
25

What is the product?

Question illustration
A
mc022-2.jpg
Option A
B
mc022-3.jpg
Option B
C
mc022-4.jpg
Option C
D
mc022-5.jpg
Option D
26

What are the values of x and y in the matrix subtraction below?

Question illustration
A
mc007-2.jpg
Option A
B
mc007-3.jpg
Option B
C
mc007-4.jpg
Option C
D
mc007-5.jpg
Option D
27

A parabola can be represented by the equation y2 = 12x.

A
y = –3
B
y = 3
C
x = –3
D
x = 3
28

A parabola with a vertex at (0,0) has a focus along the negative part of the x-axis.

A
y2 = x
B
y2 = –2x
C
x2 = 4y
D
x2 = –6y
29

If , then what is ?

Question illustration
A
mc007-3.jpg
Option A
B
mc007-4.jpg
Option B
C
mc007-5.jpg
Option C
D
mc007-6.jpg
Option D
30

How many 5-letter combinations can be created from the letters in the word “friendly”? Assume that the order of the letters does not matter.

A
56
B
120
C
6,720
D
40,320
31

The box plots below show the ages of college students in different math courses. Math 1 Math 2Which statement is true?

Question illustration
A
The median age of the students in Math 1 is greater than the median age of the students in Math 2.
B
The median age of the students is Math 1 is less than the median age of the students in Math 2.
C
The mean and median age are most likely the same for both sets of data.
D
The mean and median age are more likely to be the same for the students in Math 1.
32

Which expression is equivalent to ?

Question illustration
A
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4
Option A
B
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 16
Option B
C
2 log Subscript 5 Baseline x + 2 log Subscript 5 Baseline 4
Option C
D
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4
Option D
33

Which graph represents ?

Question illustration
A
On a coordinate plane, a parabola with a vertex at (0, 0) opens up.
Option A
B
On a coordinate plane, a curve that begins at (0, 0) opens down and to the right in quadrant 1.
Option B
C
On a coordinate plane, a cubic function is vertical and goes through (0, 0).
Option C
D
On a coordinate plane, a cubic function is horizontal and goes through (0, 0).
Option D
34

What is the equation of the graph below?

Question illustration
A
y = cosine (StartFraction x Over 0.4 EndFraction)
Option A
B
y = cos(5x)
C
y = cos(0.4x)
D
y = cosine (StartFraction x Over 5 EndFraction)
Option D
35

What is the value of ?

Question illustration
A
3
B
5
C
15
D
25
36

What is the solution to

Question illustration
A
mc014-2.jpg
Option A
B
mc014-3.jpg
Option B
C
mc014-4.jpg
Option C
D
mc014-5.jpg
Option D
37

Which expression is equivalent to ?

Question illustration
A
RootIndex 4 StartRoot 2 cubed EndRoot
Option A
B
StartRoot 2 Superscript 5 EndRoot
Option B
C
RootIndex 4 StartRoot 4 cubed EndRoot
Option C
D
StartRoot 4 Superscript 5 EndRoot
Option D
38

There are 14 dogs in a particular class at a dog show. Blue, red, yellow, and white ribbons will be awarded to the first through fourth place finishers, respectively. In how many different ways can the ribbons be awarded?

A
1,001
B
6,006
C
24,024
D
38,416
39

How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?

A
The graph of g(x) is a translation of f(x) 2 units left.
B
The graph of g(x) is a translation of f(x) 2 units right.
C
The graph of g(x) is a translation of f(x) 2 units up.
D
The graph of g(x) is a translation of f(x) 2 units down.
40

According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth.

Question illustration
A
0.001
B
0.002
C
0.128
D
0.899

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