Question 1

Find the probability.
-A lottery game contains 22 balls numbered 1 through 22. What is the probability of choosing a ball numbered 23?

Accepted Answer

A)  22 
B)  1 
C)  0 
D)  $\frac { 1 } { 22 }$ 
A)  22 
B)  1 
C)  0 
D)  $\frac { 1 } { 22 }$

Question 2

Solve the problem.
-How many different vertical arrangements are there of 9 flags if 4 are white, 3 are blue, and 2 are red?

Accepted Answer

A) 1260 
B) 24 
C) 126 
D) 26 
A) 1260 
B) 24 
C) 126 
D) 26

Question 3

Determine if the sequence is geometric. If the sequence is geometric, find the common ratio.
-$$4 , \frac { 16 } { 5 } , \frac { 64 } { 25 } , \frac { 256 } { 125 } , \ldots$$

Accepted Answer

A)  no 
B)  yes, $\frac { 1 } { 5 }$ 
C)  yes, $\frac { 5 } { 4 }$ 
D)  yes, $\frac { 4 } { 5 }$ 
A)  no 
B)  yes, $\frac { 1 } { 5 }$ 
C)  yes, $\frac { 5 } { 4 }$ 
D)  yes, $\frac { 4 } { 5 }$

Question 4

Evaluate the binomial coefficient.
-$$\left( \begin{array} { l } 
4 \
0
\end{array} \right)$$

Accepted Answer

A) 24 
B) 0 
C) 1 
D) 2 
A) 24 
B) 0 
C) 1 
D) 2

Question 5

Provide an appropriate response.
-Find the 11 th term of the geometric sequence whose first term is 3000 and whose common ratio is $\frac { 1 } { 3 }$.

Accepted Answer

A)  $\frac { 1000 } { 19683 }$ 
B)  $\frac { 1000 } { 177147 }$ 
C)  $\frac { 9010 } { 3 }$ 
D)  $\frac { 1000 } { 59049 }$ 
A)  $\frac { 1000 } { 19683 }$ 
B)  $\frac { 1000 } { 177147 }$ 
C)  $\frac { 9010 } { 3 }$ 
D)  $\frac { 1000 } { 59049 }$

Question 6

Find the sum of the series.
-$$\sum _ { k = 2 } ^ { 4 } k ( k + 2 )$$

Accepted Answer

A)  24 
B)  47 
C)  32 
D)  50 
A)  24 
B)  47 
C)  32 
D)  50

Question 7

Find the indicated sum.
-$$\sum _ { n = 1 } ^ { 38 } ( 6 n + 5 )$$

Accepted Answer

A)  4522 
B)  4940 
C)  4636 
D)  4807 
A)  4522 
B)  4940 
C)  4636 
D)  4807

Question 8

Determine if the sequence is arithmetic. If the sequence is arithmetic, find the common difference.
-7 , 11 , 15 , 19 , . . .

Accepted Answer

A) no 
B) yes, -4 
C) yes, 4 
D) yes, 12 
A) no 
B) yes, -4 
C) yes, 4 
D) yes, 12

Question 9

Determine if the sequence is geometric. If the sequence is geometric, find the common ratio.
-5.56, 8.38, 11.20, 14.02, . . .

Accepted Answer

A) no 
B) yes, 2.82 
C) yes, 2.12 
D) yes, 8.46 
A) no 
B) yes, 2.82 
C) yes, 2.12 
D) yes, 8.46

Question 10

Determine if the infinite geometric series converges or diverges. If the series converges, find its sum.
-$$\sum _ { i = 1 } ^ { \infty } 4 \left( \frac { 2 } { 3 } \right) ^ { \mathrm { i } - 1 }$$

Accepted Answer

A)  converges, 4 
B)  diverges 
C)  converges, 16 
D)  converges, 12 
A)  converges, 4 
B)  diverges 
C)  converges, 16 
D)  converges, 12

Question 11

Determine the size of the sample space for the experiment described.
-A group of 19 people are assigned numbers 1 through 19. State the number of elements in the sample space of the event choosing a person with a number 5 or less.

Accepted Answer

A)  $n ( S ) = 5$ 
B)  $n ( S ) = 4$ 
C)  $n ( S ) = 1$ 
D)  $\mathrm { n } ( \mathrm { S } ) = 19$ 
A)  $n ( S ) = 5$ 
B)  $n ( S ) = 4$ 
C)  $n ( S ) = 1$ 
D)  $\mathrm { n } ( \mathrm { S } ) = 19$

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 8?

Accepted Answer

A) 2 to 21 
B) 1 : 7 
C) 1 to 9 
D) 1 to 6 
A) 2 to 21 
B) 1 : 7 
C) 1 to 9 
D) 1 to 6

Question 13

Determine if the sequence is arithmetic. If the sequence is arithmetic, find the common difference.
--9 , -11 , -13 , -15 , . . .

Accepted Answer

A) no 
B) yes, -4 
C) yes, -6 
D) yes, -2 
A) no 
B) yes, -4 
C) yes, -6 
D) yes, -2

Question 14

Solve the problem.
-In how many ways can 6 people each have different birth months?

Accepted Answer

A) 665,280 
B) 924 
C) 72 
D) 2,985,984 
A) 665,280 
B) 924 
C) 72 
D) 2,985,984

Question 15

Solve the problem.
-If the odds against a candidate winning an election are 7 to 6, then what is the probability that that candidate will win the election?

Accepted Answer

A)  $\frac { 7 } { 6 }$ 
B)  $\frac { 7 } { 13 }$ 
C)  $\frac { 6 } { 13 }$ 
D)  $\frac { 6 } { 7 }$ 
A)  $\frac { 7 } { 6 }$ 
B)  $\frac { 7 } { 13 }$ 
C)  $\frac { 6 } { 13 }$ 
D)  $\frac { 6 } { 7 }$

Question 16

Find the probability.
-What is the probability that a card drawn from a deck of 52 cards is not a 9?

Accepted Answer

A)  $\frac { 12 } { 13 }$ 
B)  $\frac { 1 } { 10 }$ 
C)  $\frac { 9 } { 10 }$ 
D)  $\frac { 1 } { 13 }$ 
A)  $\frac { 12 } { 13 }$ 
B)  $\frac { 1 } { 10 }$ 
C)  $\frac { 9 } { 10 }$ 
D)  $\frac { 1 } { 13 }$

Question 17

Solve the problem.
-A student must choose 1 of 4 mathematics electives, 1 of 8 science electives, and 1 of 7 programming electives. How many possible course selections are there?

Accepted Answer

A) 19 course selections 
B) 224 course selections 
C) 448 course selections 
D) 32 course selections 
A) 19 course selections 
B) 224 course selections 
C) 448 course selections 
D) 32 course selections

Question 18

Solve the problem.
-A group of 12 friends goes bowling. How many different possibilities are there for the order in which they play if the youngest person is to bowl first?

Accepted Answer

A) 39,916,800 
B) 11 
C) 479,001,600 
D) 12 
A) 39,916,800 
B) 11 
C) 479,001,600 
D) 12

Question 19

Determine if the sequence is geometric. If the sequence is geometric, find the common ratio.
-40, 20, 10, 5, 2.5, . . .

Accepted Answer

A) yes, 0.5 
B) yes, 2 
C) yes, 2.5 
D) no 
A) yes, 0.5 
B) yes, 2 
C) yes, 2.5 
D) no

Question 20

Solve the problem.
-A survey of senior citizens at a doctor's office shows that 53% of the seniors take blood pressure lowering medication and 47% take cholesterol lowering medication. 6% take both medications. What is the probability that a senior citizen takes only one of these medications given that he or she takes at least one of the medications?

Accepted Answer

A) 0.53 
B) 0.47 
C) -0.060 
D) 0.940 
A) 0.53 
B) 0.47 
C) -0.060 
D) 0.940

Find the probability. -A lottery game contains 22 balls numbered 1 through 22. What is the probability of choosing a ball numbered 23?

Solve the problem. -How many different vertical arrangements are there of 9 flags if 4 are white, 3 are blue, and 2 are red?

Determine if the sequence is geometric. If the sequence is geometric, find the common ratio. - $4 , \frac { 16 } { 5 } , \frac { 64 } { 25 } , \frac { 256 } { 125 } , \ldots$

Evaluate the binomial coefficient. - $\left( \begin{array} { l } 4 \\0\end{array} \right)$

Provide an appropriate response. -Find the 11 th term of the geometric sequence whose first term is 3000 and whose common ratio is $\frac { 1 } { 3 }$ .

Find the sum of the series. - $\sum _ { k = 2 } ^ { 4 } k ( k + 2 )$

Find the indicated sum. - $\sum _ { n = 1 } ^ { 38 } ( 6 n + 5 )$

Determine if the sequence is arithmetic. If the sequence is arithmetic, find the common difference. -7 , 11 , 15 , 19 , . . .

Determine if the sequence is geometric. If the sequence is geometric, find the common ratio. -5.56, 8.38, 11.20, 14.02, . . .

Determine if the infinite geometric series converges or diverges. If the series converges, find its sum. - $\sum _ { i = 1 } ^ { \infty } 4 \left( \frac { 2 } { 3 } \right) ^ { \mathrm { i } - 1 }$

Determine the size of the sample space for the experiment described. -A group of 19 people are assigned numbers 1 through 19. State the number of elements in the sample space of the event choosing a person with a number 5 or less.

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 8?

Determine if the sequence is arithmetic. If the sequence is arithmetic, find the common difference. --9 , -11 , -13 , -15 , . . .

Solve the problem. -In how many ways can 6 people each have different birth months?

Solve the problem. -If the odds against a candidate winning an election are 7 to 6, then what is the probability that that candidate will win the election?

Find the probability. -What is the probability that a card drawn from a deck of 52 cards is not a 9?

Solve the problem. -A student must choose 1 of 4 mathematics electives, 1 of 8 science electives, and 1 of 7 programming electives. How many possible course selections are there?

Solve the problem. -A group of 12 friends goes bowling. How many different possibilities are there for the order in which they play if the youngest person is to bowl first?

Determine if the sequence is geometric. If the sequence is geometric, find the common ratio. -40, 20, 10, 5, 2.5, . . .

Equations, Inequalities, and Applications

The Rectangular Coordinate System, Lines, and Circles

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions and Equations

Conic Sections

Systems of Equations and Inequalities

Matrices

Math Exercises: Sets, Intervals, Absolute Value, and Properties

Filters

Exam 9: Sequences and Series; Counting and Probability