AnswersMathematics III ABinomial Distribution

Binomial Distribution — Cumulative exam Answers

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1
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What is the value of the element in row 1, column 1 of matrix X?

Question illustration
A
mc026-2.jpg
Option A
B
4
C
8y
D
0
2
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What is the product?

Question illustration
A
mc018-2.jpg
Option A
B
mc018-3.jpg
Option B
C
mc018-4.jpg
Option C
D
mc018-5.jpg
Option D
3

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

Question illustration
A
mc026-2.jpg
Option A
B
mc026-3.jpg
Option B
C
mc026-4.jpg
Option C
D
mc026-5.jpg
Option D
4

A scientist writes the equation to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.

Question illustration
A
1 hour
B
6 hours
C
13 hours
D
15 hours
5

What is the following product?

Question illustration
A
6 StartRoot 2 EndRoot minus 2 StartRoot 30 EndRoot + 6 minus 2 StartRoot 15 EndRoot
Option A
B
6 StartRoot 3 EndRoot minus 6 StartRoot 5 EndRoot
Option B
C
3 StartRoot 2 EndRoot minus StartRoot 22 EndRoot + 2 StartRoot 3 EndRoot minus 4
Option C
D
2 StartRoot 3 EndRoot + 6 minus 2 StartRoot 15 EndRoot
Option D
6

Which of the following is the graph of ?

Question illustration
A
On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = negative 1.
Option A
B
On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.
Option B
C
On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = 1.
Option C
D
On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = negative 1.
Option D
7

Which would be the next step in solving for matrix A?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
8

Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units?

A
x2 + y2 + 4x + 6y – 51 = 0
B
x² + y² – 4x – 6y – 51 = 0
C
x2 + y2 + 4x + 6y – 3 = 0
D
x2 + y2 – 4x – 6y – 3 = 0
9

Which graph represents ?

Question illustration
A
On a coordinate plane, a cubic function has an inflection point at (0, negative 2).
Option A
B
On a coordinate plane, a cubic function has an inflection point at (negative 2, 0)
Option B
C
On a coordinate plane, a cubic function has an inflection point at (0, 2).
Option C
D
On a coordinate plane, a cubic function has an inflection point at (2, 0).
Option D
10

What is the length of the hypotenuse in the triangle below?

Question illustration
A
14 cm
B
cm
Option B
C
cm
Option C
D
28 cm
11

What is the solution of ?

Question illustration
A
6
B
9
C
18
D
81
12

Which expression is equivalent to ?

Question illustration
A
StartFraction x Superscript one-half baseline Over y z squared EndFraction
Option A
B
StartFraction x Superscript one-half baseline Over y Superscript one-fourth Baseline z squared EndFraction
Option B
C
StartFraction y Superscript one-half Baseline Over x z squared EndFraction
Option C
D
StartFraction x z squared Over y Superscript one-half EndFraction
Option D
13

Which equation has x = 4 as the solution?

A
log Subscript 4 Baseline (3 x + 4) = 2
Option A
B
log Subscript 3 Baseline (2 x minus 5) = 2
Option B
C
log Subscript x Baseline 64 = 4
Option C
D
log Subscript x Baseline 16 = 4
Option D
14

For what values of x does ?

Question illustration
A
x = –3, x = 1
B
x = –1, x = 3
C
x = negative three-halves, x = 2
Option C
D
x = negative 2, x = three-halves
Option D
15

Which function represents the following graph?

Question illustration
A
y = StartRoot x minus 3 EndRoot + 3
Option A
B
y = StartRoot x + 3 EndRoot + 3
Option B
C
y = RootIndex 3 StartRoot x minus 3 EndRoot + 3
Option C
D
y = RootIndex 3 StartRoot x + 3 EndRoot + 3
Option D
16

The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation , where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when ?

Question illustration
A
15
B
32
C
320
D
737
17

What is the solution of ?

Question illustration
A
x = –10
B
x = 3
C
x = –10 or x = 3
D
no solution
18

Which matrix equation can be used to solve the systems of equations below?3x - 2y = -36x - 5y = -9

A
mc016-1.jpg
Option A
B
mc016-2.jpg
Option B
C
mc016-3.jpg
Option C
D
mc016-4.jpg
Option D
19

Given , , and .What is Y if ?

Question illustration
A
mc013-5.jpg
Option A
B
mc013-6.jpg
Option B
C
mc013-7.jpg
Option C
D
mc013-8.jpg
Option D
20

Which expression is equivalent to ?

Question illustration
A
log StartFraction 3 StartRoot x EndRoot (x cubed + 4) Over 2 EndFraction
Option A
B
log StartFraction 3 StartRoot x EndRoot (3 x + 4) Over 2 EndFraction
Option B
C
log StartFraction StartRoot 9 x (x cubed + 4) EndRoot Over 6 EndFraction
Option C
D
StartFraction StartRoot log 9 x ( x cubed + 4) EndRoot Over 6 EndFraction
Option D

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