Question 1

If   ,   ,   ,   ,   ,   , and   , find   .
​   __________

Accepted Answer

The answer of If   ,   ,...

Question 2

Let   . Determine whether the given statement is true or false.
​

Accepted Answer

A) True 
 B)False

Question 3

A coin is tossed 5 times and the sequence of heads and tails is recorded. Use the generalized multiplication principle to determine the number of outcomes of this activity.
__________ possible outcomes

Accepted Answer

The answer of A coin is tossed 5 times and...

Question 4

Shade the portion of the accompanying figure that represents the set. ​   ​

Accepted Answer

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

Question 5

If there are four toppings available, then the number of different pizzas that can be made is   , or 128, different pizzas. ​

Accepted Answer

A)  true 
B)  false 
A)  true 
B)  false

Question 6

Four commuter trains and two express buses depart from city A to city B in the morning, and three commuter trains and three express buses operate on the return trip in the evening. In how many ways can a commuter from city A to city B complete a daily round trip via bus and/or train? ​

Accepted Answer

A)  23 possible ways 
B)  11 possible ways 
C)  36 possible ways 
D)  18 possible ways 
E)  60 possible ways
F) 63 possible ways 
A)  23 possible ways 
B)  11 possible ways 
C)  36 possible ways 
D)  18 possible ways 
E)  60 possible ways
F) 63 possible ways

Question 7

In how many different ways can a panel of 12 jurors and 2 alternate jurors be chosen from a group of 28 prospective jurors?
​
__________ ways

Accepted Answer

The answer of In how many different ways can a...

Question 8

Of 55 employees of a store located in downtown Boston, 16 people take the subway to work, 11 take the bus, and 6 take both the subway and the bus. How many employees take either the bus or the subway to work? ​

Accepted Answer

A)  34 
B)  10 
C)  21 
D)  15 
E)  5 
A)  34 
B)  10 
C)  21 
D)  15 
E)  5

Question 9

Refer to the accompanying figure and find the points that belong to the set.

Accepted Answer

The answer of Refer to the accompanying figure and find...

Question 10

On a certain day, the Wilton County Jail had 184 prisoners. Of these, 128 were accused of felonies, and 117 were accused of misdemeanors. How many prisoners were accused of both a felony and a misdemeanor? ​

Accepted Answer

A)  76 prisoners 
B)  61 prisoners 
C)  71 prisoners 
D)  82 prisoners 
E)  62 prisoners
F) 81 prisoners 
A)  76 prisoners 
B)  61 prisoners 
C)  71 prisoners 
D)  82 prisoners 
E)  62 prisoners
F) 81 prisoners

Question 11

Refer to the following diagram where U is the set of all tourists surveyed over a 1-week period in London and ​   ​
​   ​
Express regions 2, 5, 6, and 8 together in set notation and in words.
​

Accepted Answer

A)    ; The set of tourists who have not taken the underground over a 1-wk period in London 
B)    ; The set of tourists who have not taken a bus over a 1-wk period in London 
C)    ; The set of tourists who have not taken the underground over a 1-wk period in London. 
D)    ; The set of tourists who have not taken a cab over a 1-wk period in London 
E)    ; The set of tourists who have not taken a cab over a 1-wk period in London. 
A)    ; The set of tourists who have not taken the underground over a 1-wk period in London 
B)    ; The set of tourists who have not taken a bus over a 1-wk period in London 
C)    ; The set of tourists who have not taken the underground over a 1-wk period in London. 
D)    ; The set of tourists who have not taken a cab over a 1-wk period in London 
E)    ; The set of tourists who have not taken a cab over a 1-wk period in London.

Question 12

Determine whether the given pair of sets is disjoint. ​   ​

Accepted Answer

A)  Not disjoint 
B)  Disjoint 
A)  Not disjoint 
B)  Disjoint

Question 13

In how many ways can a television-programming director schedule three different commercials in the three time slots allocated to commercials during 1-hr program?
​
__________ ways

Accepted Answer

The answer of In how many ways can a television-programming...

Question 14

Let U denote the set of all senators in Congress. Let
​   ​
Write the set that represents the following statement:
​
The set of all Democrats who are female and are lawyers.

Accepted Answer

The answer of Let U denote the set of all...

Question 15

In how many ways can a quality-control engineer select a sample of 5 transistors for testing from a batch of 90 transistors? ​

Accepted Answer

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

Question 16

State whether the given statement is true or false.

Accepted Answer

A) True 
 B)False

Question 17

If   ,   , and   , what is   ?
​   __________

Accepted Answer

The answer of If   ,   ,...

Question 18

Let U denote the set of all employees at Universal Life Insurance Company. Let
​   ​
Match each description below with the letter of the corresponding set.
​
a.   b.   c.   d.  
-drinks tea and coffee

Accepted Answer

The answer of Let U denote the set of all...

Question 19

Student Painters, which specializes in painting the exterior of residential buildings, has six people available to be organized into two-person and four-person teams.
​
In how many ways can the two-person team be formed?
__________
​
In how many ways can the four-person team be formed?
__________
​
In how many ways can the company organize the available people into two- or four-person teams?

Accepted Answer

The answer of Student Painters, which specializes in painting the...

Question 20

A female executive selecting her wardrobe purchased three blazers, five blouses, and four skirts in coordinating colors. How many ensembles consisting of a blazer, a blouse, and a skirt can she create from this collection?
​
__________ possible ensembles

Accepted Answer

The answer of A female executive selecting her wardrobe purchased...

If , , , , , , and , find . __________

Let . Determine whether the given statement is true or false.

A coin is tossed 5 times and the sequence of heads and tails is recorded. Use the generalized multiplication principle to determine the number of outcomes of this activity. __________ possible outcomes

Shade the portion of the accompanying figure that represents the set.

If there are four toppings available, then the number of different pizzas that can be made is , or 128, different pizzas.

Four commuter trains and two express buses depart from city A to city B in the morning, and three commuter trains and three express buses operate on the return trip in the evening. In how many ways can a commuter from city A to city B complete a daily round trip via bus and/or train?

In how many different ways can a panel of 12 jurors and 2 alternate jurors be chosen from a group of 28 prospective jurors? __________ ways

Of 55 employees of a store located in downtown Boston, 16 people take the subway to work, 11 take the bus, and 6 take both the subway and the bus. How many employees take either the bus or the subway to work?

Refer to the accompanying figure and find the points that belong to the set.

On a certain day, the Wilton County Jail had 184 prisoners. Of these, 128 were accused of felonies, and 117 were accused of misdemeanors. How many prisoners were accused of both a felony and a misdemeanor?

Refer to the following diagram where U is the set of all tourists surveyed over a 1-week period in London and Express regions 2, 5, 6, and 8 together in set notation and in words.

Determine whether the given pair of sets is disjoint.

In how many ways can a television-programming director schedule three different commercials in the three time slots allocated to commercials during 1-hr program? __________ ways

Let U denote the set of all senators in Congress. Let Write the set that represents the following statement: The set of all Democrats who are female and are lawyers.

In how many ways can a quality-control engineer select a sample of 5 transistors for testing from a batch of 90 transistors?

State whether the given statement is true or false.

If , , and , what is ? __________

Let U denote the set of all employees at Universal Life Insurance Company. Let Match each description below with the letter of the corresponding set. a. b. c. d. -drinks tea and coffee

A female executive selecting her wardrobe purchased three blazers, five blouses, and four skirts in coordinating colors. How many ensembles consisting of a blazer, a blouse, and a skirt can she create from this collection? __________ possible ensembles

Straight Lines and Linear Functions

Systems of Linear Equations and Matrices

Linear Programming: a Geometric Approach

Linear Programming: an Algebraic Approach

Mathematics of Finance

Probability

Probability Distributions and Statistics

Markov Chains and the Theory of Games

Filters

Exam 6: Sets and Counting

If , , , , , , and , find . ​ __________

Let . Determine whether the given statement is true or false. ​

A coin is tossed 5 times and the sequence of heads and tails is recorded. Use the generalized multiplication principle to determine the number of outcomes of this activity. __________ possible outcomes

Shade the portion of the accompanying figure that represents the set. ​ ​

If there are four toppings available, then the number of different pizzas that can be made is , or 128, different pizzas. ​

Four commuter trains and two express buses depart from city A to city B in the morning, and three commuter trains and three express buses operate on the return trip in the evening. In how many ways can a commuter from city A to city B complete a daily round trip via bus and/or train? ​

In how many different ways can a panel of 12 jurors and 2 alternate jurors be chosen from a group of 28 prospective jurors? ​ __________ ways

Of 55 employees of a store located in downtown Boston, 16 people take the subway to work, 11 take the bus, and 6 take both the subway and the bus. How many employees take either the bus or the subway to work? ​

Refer to the accompanying figure and find the points that belong to the set.

On a certain day, the Wilton County Jail had 184 prisoners. Of these, 128 were accused of felonies, and 117 were accused of misdemeanors. How many prisoners were accused of both a felony and a misdemeanor? ​

Refer to the following diagram where U is the set of all tourists surveyed over a 1-week period in London and ​ ​ ​ ​ Express regions 2, 5, 6, and 8 together in set notation and in words. ​

Determine whether the given pair of sets is disjoint. ​ ​

In how many ways can a television-programming director schedule three different commercials in the three time slots allocated to commercials during 1-hr program? ​ __________ ways

Let U denote the set of all senators in Congress. Let ​ ​ Write the set that represents the following statement: ​ The set of all Democrats who are female and are lawyers.

In how many ways can a quality-control engineer select a sample of 5 transistors for testing from a batch of 90 transistors? ​

State whether the given statement is true or false.

If , , and , what is ? ​ __________

Let U denote the set of all employees at Universal Life Insurance Company. Let ​ ​ Match each description below with the letter of the corresponding set. ​ a. b. c. d. -drinks tea and coffee

A female executive selecting her wardrobe purchased three blazers, five blouses, and four skirts in coordinating colors. How many ensembles consisting of a blazer, a blouse, and a skirt can she create from this collection? ​ __________ possible ensembles

Straight Lines and Linear Functions

Systems of Linear Equations and Matrices

Linear Programming: a Geometric Approach

Linear Programming: an Algebraic Approach

Mathematics of Finance

Probability

Probability Distributions and Statistics

Markov Chains and the Theory of Games

Filters

If , , , , , , and , find . __________

Let . Determine whether the given statement is true or false.

Shade the portion of the accompanying figure that represents the set.

If there are four toppings available, then the number of different pizzas that can be made is , or 128, different pizzas.

Four commuter trains and two express buses depart from city A to city B in the morning, and three commuter trains and three express buses operate on the return trip in the evening. In how many ways can a commuter from city A to city B complete a daily round trip via bus and/or train?

In how many different ways can a panel of 12 jurors and 2 alternate jurors be chosen from a group of 28 prospective jurors? __________ ways

Of 55 employees of a store located in downtown Boston, 16 people take the subway to work, 11 take the bus, and 6 take both the subway and the bus. How many employees take either the bus or the subway to work?

On a certain day, the Wilton County Jail had 184 prisoners. Of these, 128 were accused of felonies, and 117 were accused of misdemeanors. How many prisoners were accused of both a felony and a misdemeanor?

Refer to the following diagram where U is the set of all tourists surveyed over a 1-week period in London and Express regions 2, 5, 6, and 8 together in set notation and in words.

Determine whether the given pair of sets is disjoint.

In how many ways can a television-programming director schedule three different commercials in the three time slots allocated to commercials during 1-hr program? __________ ways

Let U denote the set of all senators in Congress. Let Write the set that represents the following statement: The set of all Democrats who are female and are lawyers.

In how many ways can a quality-control engineer select a sample of 5 transistors for testing from a batch of 90 transistors?

If , , and , what is ? __________

Let U denote the set of all employees at Universal Life Insurance Company. Let Match each description below with the letter of the corresponding set. a. b. c. d. -drinks tea and coffee

A female executive selecting her wardrobe purchased three blazers, five blouses, and four skirts in coordinating colors. How many ensembles consisting of a blazer, a blouse, and a skirt can she create from this collection? __________ possible ensembles