Question 1

Evaluate the expression.
-

Accepted Answer

A)    
B)  30 
C)    
D)  6 
A)    
B)  30 
C)    
D)  6 B

Question 2

Write the series in summation notation. Use the index i and let i begin at 1 in each summation.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)    A

Question 3

Solve the problem.
-At a lumber company that sold shelves, a customer could choose from 3 types of wood, 4 different widths and 4 different lengths. How many different types of shelves could be ordered?

Accepted Answer

A)  36 
B)  48 
C)  11 
D)  28 
A)  36 
B)  48 
C)  11 
D)  28 B

Question 4

Find the sum of the series.
-

Accepted Answer

A)  30,558 
B)  174 
C)  -174 
D)  26 
A)  30,558 
B)  174 
C)  -174 
D)  26

Question 5

Solve the problem.
-A child on a swing sweeps out a distance of 24 ft on the first pass. If she is allowed to continue swinging until she stops, and if on each pass she sweeps out a distance   of the previous pass, how far does the child travel?

Accepted Answer

A)  120 ft 
B)  48 ft 
C)  96 ft 
D)  72 ft 
A)  120 ft 
B)  48 ft 
C)  96 ft 
D)  72 ft

Question 6

Solve the problem.
-Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.151. Find the probability that in a given year it will not snow on January 1st in that town.

Accepted Answer

A)  1.151 
B)  0.178 
C)  0.849 
D)  6.623 
A)  1.151 
B)  0.178 
C)  0.849 
D)  6.623

Question 7

Find the probability of the event.
-If two 12-sided dice are rolled what is the probability that both numbers will be even?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 8

Find the requested sum of the arithmetic sequence.
-

Accepted Answer

A)  -17 
B)  -14 
C)  4 
D)  -8 
A)  -17 
B)  -14 
C)  4 
D)  -8

Question 9

Find the first six terms of the sequence.
-

Accepted Answer

A)  0, 3, -18, -15, -12, -9 
B)  -6, -18, -15, -12, -9, -6 
C)  -6, -12, -24, -48, -96, -192 
D)  -12, -24, -48, -96, -192, -384 
A)  0, 3, -18, -15, -12, -9 
B)  -6, -18, -15, -12, -9, -6 
C)  -6, -12, -24, -48, -96, -192 
D)  -12, -24, -48, -96, -192, -384

Question 10

List all equally likely outcomes in the sample space for the indicated experiment.
-A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. List the sample space of picking a blue card followed by a green card.

Accepted Answer

A)  {(3, 4)} 
B)  {(1, 2, 3, 4)} 
C)  {(1, 1), (1, 2), (1, 3), (1, 4),(2, 1), (2, 2), (2, 3), (2, 4),(3, 1), (3, 2), (3, 3), (3, 4)} 
D)  {(1, 1), (1, 2), (1, 3), (2, 1),(2, 2), (2, 3), (3, 1), (3, 2),(3, 3), (4, 1), (4, 2), (4, 3)} 
A)  {(3, 4)} 
B)  {(1, 2, 3, 4)} 
C)  {(1, 1), (1, 2), (1, 3), (1, 4),(2, 1), (2, 2), (2, 3), (2, 4),(3, 1), (3, 2), (3, 3), (3, 4)} 
D)  {(1, 1), (1, 2), (1, 3), (2, 1),(2, 2), (2, 3), (3, 1), (3, 2),(3, 3), (4, 1), (4, 2), (4, 3)}

Question 11

Solve.
-How many different three-digit numbers can be written using digits from the set {2, 3, 4, 5, 6} without any repeating digits?

Accepted Answer

A)  10 
B)  60 
C)  120 
D)  20 
A)  10 
B)  60 
C)  120 
D)  20

Question 12

Solve the problem.
-Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds that the sum of the numbers on the two selected slips is not 6?

Accepted Answer

A)  9 to 1 
B)  21 to 2 
C)  19 to 1 
D)  19 to 2 
A)  9 to 1 
B)  21 to 2 
C)  19 to 1 
D)  19 to 2

Question 13

Find the first five terms of the arithmetic sequence.
-

Accepted Answer

A)  -6, -5, -4, -3, -2 
B)  -24, -18, -12, -6, 0 
C)  -5, -4, -3, -2, -1 
D)  1, 2, 3, 4, 5 
A)  -6, -5, -4, -3, -2 
B)  -24, -18, -12, -6, 0 
C)  -5, -4, -3, -2, -1 
D)  1, 2, 3, 4, 5

Question 14

Solve the problem.
-A bag contains 8 apples and 6 oranges. If you select 7 pieces of fruit without looking, how many ways can you get exactly 6 apples?

Accepted Answer

A)  336 
B)  2016 
C)  168 
D)  56 
A)  336 
B)  2016 
C)  168 
D)  56

Question 15

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer.
-

Accepted Answer

A)  2 
B)  4 
C)  1 
D)  5 
A)  2 
B)  4 
C)  1 
D)  5

Question 16

Solve the problem.
-What is the coefficient of   in the expansion of

Accepted Answer

A)  120 
B)  960 
C)  -720 
D)  -3240 
A)  120 
B)  960 
C)  -720 
D)  -3240

Question 17

Write the complete binomial expansion.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Solve the problem.
-An auditorium has 30 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium?

Accepted Answer

A)  735 seats 
B)  600 seats 
C)  1170 seats 
D)  1230 seats 
A)  735 seats 
B)  600 seats 
C)  1170 seats 
D)  1230 seats

Question 19

Write the series in summation notation. Use the index i and let i begin at 1 in each summation.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 20

Identify the sequence as arithmetic, geometric, or neither.
-

Accepted Answer

A)  Geometric 
B)  Arithmetic 
C)  Neither 
A)  Geometric 
B)  Arithmetic 
C)  Neither

Evaluate the expression. -

Write the series in summation notation. Use the index i and let i begin at 1 in each summation. -

Solve the problem. -At a lumber company that sold shelves, a customer could choose from 3 types of wood, 4 different widths and 4 different lengths. How many different types of shelves could be ordered?

Find the sum of the series. -

Solve the problem. -A child on a swing sweeps out a distance of 24 ft on the first pass. If she is allowed to continue swinging until she stops, and if on each pass she sweeps out a distance of the previous pass, how far does the child travel?

Solve the problem. -Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.151. Find the probability that in a given year it will not snow on January 1st in that town.

Find the probability of the event. -If two 12-sided dice are rolled what is the probability that both numbers will be even?

Find the requested sum of the arithmetic sequence. -

Find the first six terms of the sequence. -

List all equally likely outcomes in the sample space for the indicated experiment. -A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. List the sample space of picking a blue card followed by a green card.

Solve. -How many different three-digit numbers can be written using digits from the set {2, 3, 4, 5, 6} without any repeating digits?

Solve the problem. -Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds that the sum of the numbers on the two selected slips is not 6?

Find the first five terms of the arithmetic sequence. -

Solve the problem. -A bag contains 8 apples and 6 oranges. If you select 7 pieces of fruit without looking, how many ways can you get exactly 6 apples?

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer. -

Solve the problem. -What is the coefficient of in the expansion of

Write the complete binomial expansion. -

Solve the problem. -An auditorium has 30 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium?

Write the series in summation notation. Use the index i and let i begin at 1 in each summation. -

Identify the sequence as arithmetic, geometric, or neither. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Basic Algebra Review

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Exam 11: Sequences, Series, and Probability

Evaluate the expression. -

Write the series in summation notation. Use the index i and let i begin at 1 in each summation. -

Solve the problem. -At a lumber company that sold shelves, a customer could choose from 3 types of wood, 4 different widths and 4 different lengths. How many different types of shelves could be ordered?

Find the sum of the series. -

Solve the problem. -A child on a swing sweeps out a distance of 24 ft on the first pass. If she is allowed to continue swinging until she stops, and if on each pass she sweeps out a distance of the previous pass, how far does the child travel?

Solve the problem. -Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.151. Find the probability that in a given year it will not snow on January 1st in that town.

Find the probability of the event. -If two 12-sided dice are rolled what is the probability that both numbers will be even?

Find the requested sum of the arithmetic sequence. -

Find the first six terms of the sequence. -

List all equally likely outcomes in the sample space for the indicated experiment. -A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. List the sample space of picking a blue card followed by a green card.

Solve. -How many different three-digit numbers can be written using digits from the set {2, 3, 4, 5, 6} without any repeating digits?

Solve the problem. -Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds that the sum of the numbers on the two selected slips is not 6?

Find the first five terms of the arithmetic sequence. -

Solve the problem. -A bag contains 8 apples and 6 oranges. If you select 7 pieces of fruit without looking, how many ways can you get exactly 6 apples?

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer. -

Solve the problem. -What is the coefficient of in the expansion of

Write the complete binomial expansion. -

Solve the problem. -An auditorium has 30 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium?

Write the series in summation notation. Use the index i and let i begin at 1 in each summation. -

Identify the sequence as arithmetic, geometric, or neither. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Basic Algebra Review

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