Use this information for Exercises 1–4: the preference ballots for an election for the best speaker in a contest are shown. There are three candidates: Peterson (P), Quintana (Q), and Ross (R). 1. Construct a preference table for the results of the election.

Question

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Answer 1

Textbook Question

Chapter 12, Problem 1RE

Use this information for Exercises 1–4: the preference ballots for an election for the best speaker in a contest are shown. There are three candidates: Peterson (P), Quintana (Q), and Ross (R).

Chapter 12, Problem 1RE, Use this information for Exercises 14: the preference ballots for an election for the best speaker

1. Construct a preference table for the results of the election.

Expert Solution & Answer

To determine

To construct: The preference table for the results in the election.

Answer to Problem 1RE

The preference table for the results in the election are listed below.

Number of votes	5	5	5
First choice	Q	P	R
Second choice	R	Q	P
Third choice	P	R	Q

Explanation of Solution

Given:

The three candidates are Peterson (P), Quintana (Q) and Ross (R).

The preference table of the best speaker in a contest for the election are listed below.

Q

P

R

Q

P

R

P

R

Q

P

R

Q

R

P

R

Q

P

R

Q

P

Q

P

R

Q

P

R

P

Q

P

R

Q

P

R

Q

R

Q

P

R

Q

P

Q

R

Calculation:

The choices are Peterson (P), Quintana (Q) and Ross (R).

From the ballot preference table, it is noticed that the candidate order QRP occurs 5 times, the candidate order PQR occurs 5 times and the candidate order RPQ occurs 5 times.

That is, the orders of QRP, PQR and RPQ is 5, 5 and 5.

Therefore, the preference table of the results in the election are listed below.

Number of votes	5	5	5
First choice	Q	P	R
Second choice	R	Q	P
Third choice	P	R	Q

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Determine the volume and the surface area of the shape obtained by rotating the area of the figure about the x-axis and the y-axis.

Answer 2

Textbook Question

Chapter 12, Problem 1RE

Use this information for Exercises 1–4: the preference ballots for an election for the best speaker in a contest are shown. There are three candidates: Peterson (P), Quintana (Q), and Ross (R).

Chapter 12, Problem 1RE, Use this information for Exercises 14: the preference ballots for an election for the best speaker

1. Construct a preference table for the results of the election.

Expert Solution & Answer

To determine

To construct: The preference table for the results in the election.

Answer to Problem 1RE

The preference table for the results in the election are listed below.

Number of votes	5	5	5
First choice	Q	P	R
Second choice	R	Q	P
Third choice	P	R	Q

Explanation of Solution

Given:

The three candidates are Peterson (P), Quintana (Q) and Ross (R).

The preference table of the best speaker in a contest for the election are listed below.

Q

P

R

Q

P

R

P

R

Q

P

R

Q

R

P

R

Q

P

R

Q

P

Q

P

R

Q

P

R

P

Q

P

R

Q

P

R

Q

R

Q

P

R

Q

P

Q

R

Calculation:

The choices are Peterson (P), Quintana (Q) and Ross (R).

From the ballot preference table, it is noticed that the candidate order QRP occurs 5 times, the candidate order PQR occurs 5 times and the candidate order RPQ occurs 5 times.

That is, the orders of QRP, PQR and RPQ is 5, 5 and 5.

Therefore, the preference table of the results in the election are listed below.

Number of votes	5	5	5
First choice	Q	P	R
Second choice	R	Q	P
Third choice	P	R	Q

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Answer 3

Textbook Question

Chapter 12, Problem 1RE

Use this information for Exercises 1–4: the preference ballots for an election for the best speaker in a contest are shown. There are three candidates: Peterson (P), Quintana (Q), and Ross (R).

Chapter 12, Problem 1RE, Use this information for Exercises 14: the preference ballots for an election for the best speaker

1. Construct a preference table for the results of the election.

Expert Solution & Answer

To determine

To construct: The preference table for the results in the election.

Answer to Problem 1RE

The preference table for the results in the election are listed below.

Number of votes	5	5	5
First choice	Q	P	R
Second choice	R	Q	P
Third choice	P	R	Q

Explanation of Solution

Given:

The three candidates are Peterson (P), Quintana (Q) and Ross (R).

The preference table of the best speaker in a contest for the election are listed below.

Q

P

R

Q

P

R

P

R

Q

P

R

Q

R

P

R

Q

P

R

Q

P

Q

P

R

Q

P

R

P

Q

P

R

Q

P

R

Q

R

Q

P

R

Q

P

Q

R

Calculation:

The choices are Peterson (P), Quintana (Q) and Ross (R).

From the ballot preference table, it is noticed that the candidate order QRP occurs 5 times, the candidate order PQR occurs 5 times and the candidate order RPQ occurs 5 times.

That is, the orders of QRP, PQR and RPQ is 5, 5 and 5.

Therefore, the preference table of the results in the election are listed below.

Number of votes	5	5	5
First choice	Q	P	R
Second choice	R	Q	P
Third choice	P	R	Q

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Answer 4

Textbook Question

Chapter 12, Problem 1RE

Use this information for Exercises 1–4: the preference ballots for an election for the best speaker in a contest are shown. There are three candidates: Peterson (P), Quintana (Q), and Ross (R).

Chapter 12, Problem 1RE, Use this information for Exercises 14: the preference ballots for an election for the best speaker

1. Construct a preference table for the results of the election.

Expert Solution & Answer

To determine

To construct: The preference table for the results in the election.

Answer to Problem 1RE

The preference table for the results in the election are listed below.

Number of votes	5	5	5
First choice	Q	P	R
Second choice	R	Q	P
Third choice	P	R	Q

Explanation of Solution

Given:

The three candidates are Peterson (P), Quintana (Q) and Ross (R).

The preference table of the best speaker in a contest for the election are listed below.

Q

P

R

Q

P

R

P

R

Q

P

R

Q

R

P

R

Q

P

R

Q

P

Q

P

R

Q

P

R

P

Q

P

R

Q

P

R

Q

R

Q

P

R

Q

P

Q

R

Calculation:

The choices are Peterson (P), Quintana (Q) and Ross (R).

From the ballot preference table, it is noticed that the candidate order QRP occurs 5 times, the candidate order PQR occurs 5 times and the candidate order RPQ occurs 5 times.

That is, the orders of QRP, PQR and RPQ is 5, 5 and 5.

Therefore, the preference table of the results in the election are listed below.

Number of votes	5	5	5
First choice	Q	P	R
Second choice	R	Q	P
Third choice	P	R	Q

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

To construct: The preference table for the results in the election.

Answer to Problem 1RE

The preference table for the results in the election are listed below.

Number of votes	5	5	5
First choice	Q	P	R
Second choice	R	Q	P
Third choice	P	R	Q

Explanation of Solution

Given:

The three candidates are Peterson (P), Quintana (Q) and Ross (R).

The preference table of the best speaker in a contest for the election are listed below.

Q

P

R

Q

P

R

P

R

Q

P

R

Q

R

P

R

Q

P

R

Q

P

Q

P

R

Q

P

R

P

Q

P

R

Q

P

R

Q

R

Q

P

R

Q

P

Q

R

Calculation:

The choices are Peterson (P), Quintana (Q) and Ross (R).

From the ballot preference table, it is noticed that the candidate order QRP occurs 5 times, the candidate order PQR occurs 5 times and the candidate order RPQ occurs 5 times.

That is, the orders of QRP, PQR and RPQ is 5, 5 and 5.

Therefore, the preference table of the results in the election are listed below.

Number of votes	5	5	5
First choice	Q	P	R
Second choice	R	Q	P
Third choice	P	R	Q

Answer 8

Expert Solution & Answer

To determine

To construct: The preference table for the results in the election.

Answer to Problem 1RE

The preference table for the results in the election are listed below.

Number of votes	5	5	5
First choice	Q	P	R
Second choice	R	Q	P
Third choice	P	R	Q

Explanation of Solution

Given:

The three candidates are Peterson (P), Quintana (Q) and Ross (R).

The preference table of the best speaker in a contest for the election are listed below.

Q

P

R

Q

P

R

P

R

Q

P

R

Q

R

P

R

Q

P

R

Q

P

Q

P

R

Q

P

R

P

Q

P

R

Q

P

R

Q

R

Q

P

R

Q

P

Q

R

Calculation:

The choices are Peterson (P), Quintana (Q) and Ross (R).

From the ballot preference table, it is noticed that the candidate order QRP occurs 5 times, the candidate order PQR occurs 5 times and the candidate order RPQ occurs 5 times.

That is, the orders of QRP, PQR and RPQ is 5, 5 and 5.

Therefore, the preference table of the results in the election are listed below.

Number of votes	5	5	5
First choice	Q	P	R
Second choice	R	Q	P
Third choice	P	R	Q

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

To construct: The preference table for the results in the election.

Answer 12

Answer to Problem 1RE

The preference table for the results in the election are listed below.

Number of votes	5	5	5
First choice	Q	P	R
Second choice	R	Q	P
Third choice	P	R	Q

Answer 13

Explanation of Solution

Given:

The three candidates are Peterson (P), Quintana (Q) and Ross (R).

The preference table of the best speaker in a contest for the election are listed below.

Q

P

R

Q

P

R

P

R

Q

P

R

Q

R

P

R

Q

P

R

Q

P

Q

P

R

Q

P

R

P

Q

P

R

Q

P

R

Q

R

Q

P

R

Q

P

Q

R

Calculation:

The choices are Peterson (P), Quintana (Q) and Ross (R).

From the ballot preference table, it is noticed that the candidate order QRP occurs 5 times, the candidate order PQR occurs 5 times and the candidate order RPQ occurs 5 times.

That is, the orders of QRP, PQR and RPQ is 5, 5 and 5.

Therefore, the preference table of the results in the election are listed below.

Number of votes	5	5	5
First choice	Q	P	R
Second choice	R	Q	P
Third choice	P	R	Q

Answer 14

Ch. 12.1 - The Student Activities Committee at Camden College...Ch. 12.1 - An election was held for the chairperson of the...Ch. 12.1 - Prob. 3TTO Ch. 12.1 - Prob. 4TTO Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Explain the head-to head comparison criterion.Ch. 12.1 - 5. What is a fairness criterion for an election? Ch. 12.1 - Prob. 6E

Use this information for Exercises 1–4: the preference ballots for an election for the best speaker in a contest are shown. There are three candidates: Peterson (P), Quintana (Q), and Ross (R). 1. Construct a preference table for the results of the election.

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Answer to Problem 1RE

Explanation of Solution

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Chapter 12 Solutions