Math

Mathematical Excursions (MindTap Course List)Another method of voting is to assign a ‘weight.” or score, to each candidate rather than ranking the candidates in order. All candidates must receive a score, and two or more candidates can receive the same score from a voter. A score of 5 represents the strongest endorsement of a candidate. The scores range down to 1, which corresponds to complete disapproval of a candidate. A score of 3 represents indifference. The candidate with the most total points wins the election. The results of a sample election are given in the table. a. Find the winner of the election. b. If plurality were used (assuming that a person’s vote would go to the candidate that he or she gave the highest score to), verify that a different winner would result.BuyFind*launch*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.2, Problem 41ES

Textbook Problem

Another method of voting is to assign a ‘weight.” or score, to each candidate rather than ranking the candidates in order. All candidates must receive a score, and two or more candidates can receive the same score from a voter. A score of 5 represents the strongest endorsement of a candidate. The scores range down to 1, which corresponds to complete disapproval of a candidate. A score of 3 represents indifference. The candidate with the most total points wins the election. The results of a sample election are given in the table.

a. Find the winner of the election.

b. If plurality were used (assuming that a person’s vote would go to the candidate that he or she gave the highest score to), verify that a different winner would result.

Mathematical Excursions (MindTap Course List)

Ch. 4.1 - Verify this apportionment using the Jefferson...Ch. 4.1 - Find the apportionment that would have resulted if...Ch. 4.1 - Give each state one representative. Use the...Ch. 4.1 - Find the apportionment that would have resulted if...Ch. 4.1 - Explain how to calculate the standard divisor of...Ch. 4.1 - Teacher Aides A total of 25 teacher aides are to...Ch. 4.1 - In the Hamilton apportionment method, explain how...Ch. 4.1 - What is quota rule?Ch. 4.1 - Governing Boards The following table shows how the...Ch. 4.1 - Forest Rangers The table below shows how the...

Ch. 4.1 - Sales Associates The table below shows the number...Ch. 4.1 - Hospital Interns The table below shows the number...Ch. 4.1 - House of Representatives The U.S. House of...Ch. 4.1 - College Enrollment The following table shows the...Ch. 4.1 - Medical Care A hospital district consists of six...Ch. 4.1 - What is the Alabama paradox?Ch. 4.1 - What is the population paradox?Ch. 4.1 - What is the new states paradox?Ch. 4.1 - 15. What is the Balinski-Young Impossibility...Ch. 4.1 - Apportionment of Projectors Consider the...Ch. 4.1 - Hotel Management A company operates four resorts....Ch. 4.1 - College Security A college apportions 40 security...Ch. 4.1 - Management Scientific Research Corporation has...Ch. 4.1 - Education The science division of a college...Ch. 4.1 - Elementary School Teachers The following table...Ch. 4.1 - Social Workers The following table shows the...Ch. 4.1 - Computer Usage The table below shows the number of...Ch. 4.1 - The population of Illinois increased by over...Ch. 4.1 - 25. The population of Louisiana increased 1.4%...Ch. 4.1 - House of Representatives Currently. the U.S. House...Ch. 4.1 - Computer Usage Use the Webster method to apportion...Ch. 4.1 - Demographics The table below shows the populations...Ch. 4.1 - Which of she following apportionment methods can...Ch. 4.1 - According to Michael Balinski and H. Peyton Young,...Ch. 4.1 - 31. What method is presently used to apportion the...Ch. 4.1 - 32. According to the 2010 census, what is the...Ch. 4.1 - John Quincy Adams, the sixth president of the...Ch. 4.1 - In the Huntington-Hill method of apportionment,...Ch. 4.1 - Deriving the Huntington-Hill Number The...Ch. 4.2 - Using the Borda method of voting, which flavor of...Ch. 4.2 - Instead of using the normal Borda method, suppose...Ch. 4.2 - Suppose the Borda method used in Exercise I of...Ch. 4.2 - Suppose the Borda method used in Exercise I of...Ch. 4.2 - Suppose the Borda method used in Exercise 1 of...Ch. 4.2 - Can the assignment of points for first. Second,...Ch. 4.2 - Suppose the assignment of points for first,...Ch. 4.2 - What is the difference between a majority and a...Ch. 4.2 - Explain why the plurality voting system may not be...Ch. 4.2 - Explain how the Borda Count method of voting...Ch. 4.2 - Explain how the plurality with elimination voting...Ch. 4.2 - 5. Explain how the pairwise comparison voting...Ch. 4.2 - What does the Condorcet criterion say?Ch. 4.2 - Is there a best voting method? Is one method more...Ch. 4.2 - Explain why. if only two candidates are running,...Ch. 4.2 - Presidential Election The table below shows the...Ch. 4.2 - Breakfast Cereal Sixteen people were asked to rank...Ch. 4.2 - Cartoon Characters A kindergarten class was...Ch. 4.2 - Catering A 15-person committee is having lunch...Ch. 4.2 - Movies Fifty consumers were surveyed about their...Ch. 4.2 - Breakfast Cereal Use the Borda count method of...Ch. 4.2 - Cartoons Use the Borda count method of voting to...Ch. 4.2 - Catering Use the Borda count method of voting to...Ch. 4.2 - Class Election A senior high school class held an...Ch. 4.2 - Cell Phone Usage A journalist reviewing various...Ch. 4.2 - Baseball Uniforms A Little League baseball team...Ch. 4.2 - Radio Stations A number of college students were...Ch. 4.2 - Class Election Use plurality with elimination to...Ch. 4.2 - Cell Phone Usage Use plurality with elimination to...Ch. 4.2 - Campus Club A campus club has money left over in...Ch. 4.2 - Recreation A company is planning its annual summer...Ch. 4.2 - X-Men Movies Fans of the X-Men movies have been...Ch. 4.2 - Family Reunion The Nelson family is trying to...Ch. 4.2 - School Mascot A new college needs to pick a moscot...Ch. 4.2 - Election Five candidates are running for president...Ch. 4.2 - Baseball Uniforms Use the pairwise comparison...Ch. 4.2 - Radio Stations Use the pairwise comparison method...Ch. 4.2 - Does the winner in Exercise tic satisfy the...Ch. 4.2 - 32. Does the winner in Exercise 12 satisfy the...Ch. 4.2 - Does the winner in Exercise 2k satisfy the...Ch. 4.2 - Does the winner in Exercise 24c satisfy the...Ch. 4.2 - Does the winner in Exercise 17 satisfy the...Ch. 4.2 - Does the winner in Exercise 20 satisfy the...Ch. 4.2 - Election Three candidates are running for mayor. A...Ch. 4.2 - Film Competition Three films have been selected as...Ch. 4.2 - 39. Election A campus club needs to elect four...Ch. 4.2 - Scholarship Awards The members of a scholarship...Ch. 4.2 - Another method of voting is to assign a weight. or...Ch. 4.2 - Approval voting is a system in which voters may...Ch. 4.2 - Restaurants Suppose you and three friends. David,...Ch. 4.3 - Using the data in Example 1 on page 211, list all...Ch. 4.3 - For the data in Example I on page 211, calculate...Ch. 4.3 - Using the data in Check Your Progress 3 on page...Ch. 4.3 - For the data in Check Your Progress 3 on page 215,...Ch. 4.3 - Create a voting system with three members that is...Ch. 4.3 - Create a voting system with four members in which...Ch. 4.3 - Create a voting system with five members that...Ch. 4.3 - In the following exercises that involve weighted...Ch. 4.3 - In the following exercises that involve weighted...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Which, if any, of the voting systems in Exercises...Ch. 4.3 - Explain why it is impossible to calculate the...Ch. 4.3 - Music Education A music department Consists of a...Ch. 4.3 - Four voters. A, B. C, and D. make decisions by...Ch. 4.3 - Criminal Justice In a criminal trial, each of the...Ch. 4.3 - Criminal Justice In California civil court cases,...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Football At the beginning of each football season,...Ch. 4.3 - Football The head coach in Exercise 23 has decided...Ch. 4.3 - Consider the weighted voting system { 60:4,56,58...Ch. 4.3 - 26. Consider the weighted voting system {...Ch. 4.3 - Consider the weighted voting system { q:8,3,3,2 },...Ch. 4.3 - 28. a. In a weighted voting system, suppose that...Ch. 4.3 - Voter Intimidation and Tampering Consider the...Ch. 4.3 - UN Security Council The United Nations C Security...Ch. 4 - Education The following table shows the...Ch. 4 - Airline Industry The following table shows the...Ch. 4 - Airline Industry The table below shows how the...Ch. 4 - 4. Education The following table shows the number...Ch. 4 - Technology A company has four offices. The...Ch. 4 - Automobile Sales Consider the apportionment of 27...Ch. 4 - Music Company MusicGalore.biz has offices in Los...Ch. 4 - Building Inspectors A city apportions 34 building...Ch. 4 - Is the Hamilton apportionment method susceptible...Ch. 4 - Is the Jefferson apportionment method susceptible...Ch. 4 - Corporate Security The Huntington-Hill...Ch. 4 - Essay Contest Four finalists are competing in an...Ch. 4 - Ski Club A campus ski club is trying o decide...Ch. 4 - Campus Election Four students are running for the...Ch. 4 - Consumer Preferences A group of consumers were...Ch. 4 - Use the pairwise comparison method of voting to...Ch. 4 - Use the pairwise comparison method of voting to...Ch. 4 - Homecoming Queen Three high school students are...Ch. 4 - Homecoming Queen In Exercise I. suppose Cynthia L....Ch. 4 - Scholarship Awards A scholarship committee must...Ch. 4 - A weighted voting system for voters A, B, C, and D...Ch. 4 - A weighted voting system for voters A. B. C. D....Ch. 4 - Calculate the Banzhaf power indices for voters A....Ch. 4 - Calculate the Banzhaf power indices for voters A,...Ch. 4 - 25. Calculate the Banzhaf power indices for voters...Ch. 4 - Calculate the Banzhaf power indices for voters A,...Ch. 4 - Identify any dictator and all dummies for each...Ch. 4 - Identify any dictator and all dummies for each...Ch. 4 - Four voters. A. B. C. and D. make decisions by...Ch. 4 - Postal Service The table below shows the number of...Ch. 4 - Computer Allocation The following table shows the...Ch. 4 - High School Counselors The following table shows...Ch. 4 - A weighted voting system for voters A, B, C, D....Ch. 4 - Consumer Preference One hundred consumers ranked...Ch. 4 - Executives Preferences A company with offices...Ch. 4 - Exam Review A professor is preparing an extra...Ch. 4 - Budget Proposal A committee must vote on which of...Ch. 4 - Drama Department The four staff members. A, B,C,...Ch. 4 - Three voters. A. B. and C, make decisions by using...

Find more solutions based on key concepts

Present value If an investment has a goal (future value) of $S after years. Invested at interest rate (as deci...

Mathematical Applications for the Management, Life, and Social Sciences

Match the parametric equations with the graphs (labeled I-VI). Give reasons for your choices. 24. x = cos t, y ...

Multivariable Calculus

Finding Limits In Exercises 93-110, find the limit (if it exists). limx0t2+1t

Calculus: An Applied Approach (MindTap Course List)

A recent study reports that infant rats fed a diet containing genetically modified grains reached an adult weig...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 104 and standard deviati...

Probability and Statistics for Engineering and the Sciences

Agriculture A farmer has 1200 acres of land on which he grows corn, wheat, and soybeans. It costs S45 per acre ...

Precalculus: Mathematics for Calculus (Standalone Book)

Simplify the expressions in Exercises 97106. 21/32122/321/3

Applied Calculus

Simplify the algebraic expressions in Problems 15-34 by removing parentheses and combining similar terms. Objec...

Intermediate Algebra

Professional athletes are threatening to strike because they claim that they are underpaid. The team owners hav...

Essentials Of Statistics

In Exercises 4756, solve the given equation for the indicated variable. 4=2x

Finite Mathematics and Applied Calculus (MindTap Course List)

Calculate y'. 25. sin(xy) = x2 y

Single Variable Calculus: Early Transcendentals, Volume I

Let f(x) = 2x2 x + 1. Find: a. f(x 1) + f(x + 1) b. f(x + 2h)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Each integral represents the volume of a solid. Describe the solid. 0/22xcosxdx

Calculus: Early Transcendentals

Let g(x)=x2+x6x2. (a) Find (i) limx2+g(x) (ii) limx2g(x) (b) Does limx2 g(x) exist? (c) Sketch the graph of g.

Single Variable Calculus

In a recent study, Piff, Kraus, Côté, Cheng, and Keitner (2010) found that people from lower social economic cl...

Statistics for The Behavioral Sciences (MindTap Course List)

Decimal Data: Batting Averages The following data represent baseball batting averages for a random sample of Na...

Understanding Basic Statistics

In Exercise 10.1.43 you were asked to derive the parametric equations x=2acot, y=2asin2 for the curve called th...

Calculus (MindTap Course List)

Identifying and Sketching a Conic In Exercises 13-22, find the eccentricity and the distance from the pole to t...

Calculus: Early Transcendental Functions

Change 48 cm to mm.

Elementary Technical Mathematics

The graph of the parabola y=x2 contains the point X with x-coordinate a and point Y with x-coordinate b. Find a...

Elementary Geometry For College Students, 7e

From the following information, determine the number of days of each loan.
Loan Date Due Date Number of Days
30...

Contemporary Mathematics for Business & Consumers

Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Tra...

Trigonometry (MindTap Course List)

18. If is a subgroup of , and is a normal subgroup of , prove that .

Elements Of Modern Algebra

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or gi...

Single Variable Calculus: Early Transcendentals

In Exercises 1-4, list the elements of each set in roster notation. The set whose elements are the even numbers...

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding a Derivative In Exercises 33-54, find the derivative of the function. g(t)=e3/t2

Calculus of a Single Variable

Find the total number of diagonals for a polygon of n sides if: a n=5 b n=10

Elementary Geometry for College Students

Using Properties of Definite Integrals Given 03f(x)dx=4 and 36f(x)dx=1, evaluate (a) 06f(x)dx. (b) 63f(x)dx. (c...

Calculus: Early Transcendental Functions (MindTap Course List)

Solve each of the following equations using the root principle of equality. Round the answers to 3 decimal plac...

Mathematics For Machine Technology

Determine the validity of the arguments in Exercises 67 and 68 by constructing a a. Venn diagram and a b. truth...

Mathematics: A Practical Odyssey

Hudson Corporation is considering three options for managing its data processing operation: continue with its o...

Statistics for Business & Economics, Revised (MindTap Course List)

Refer to exercise 14. Using age, blood pressure, whether a person is a smoker, and any interaction involving th...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Finding Unit Vectors In Exercises 67-72, find a unit vector (a) parallel to and (b) perpendicular to the graph ...

Calculus (MindTap Course List)

Some variables, such as height, can be measured directly, and the measurement procedure is usually quite straig...

Research Methods for the Behavioral Sciences (MindTap Course List)

Explain why an ABAB reversal design is inappropriate for a treatment that has a permanent or long-lasting effec...

Research Methods for the Behavioral Sciences (MindTap Course List)

Sketching a Derivative In Exercises 43-48, sketch the graph of fExplain how you found your answer.

Calculus

Changing the Order of Integration In Exercises 11-14, sketch the region K whose area is given by the iterated i...

Multivariable Calculus

Solve y″ − 2y′ + 2 = 0, y(0) = 2, y′(0) = 1.
y = e−x(cos x − 2 sin x)
y = e−x(2 cos x − sin x)
y = ex(cos x − 2...

Study Guide for Stewart's Multivariable Calculus, 8th

The article In Bronx, Hitting Home Runs Is A Breeze (USA Today, June 2, 2009) included a classification of 87 h...

Introduction To Statistics And Data Analysis

Fill in the blanks. The vertex of the parabolic graph of the equation y=2(x3)2+5 will be at ________.

College Algebra (MindTap Course List)

The appropriate option for the value of the indefinite integral ∫sinx2 dx.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

In Problems 16 proceed as in Example 1 to find a particular solution yp(x) of the given differential equation i...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

For the following exercises, verify that each equation is an identity. 153. 11sin+11+sin=2sec2

Calculus Volume 1

Use strong mathematical induction to show that for the sequence of exercise 23, cnnlog2n , for every integer n4...

Discrete Mathematics With Applications

Secant Lines Find the equation of the secant line for the graph of y=x3fromx=1tox=3. See Figure 3.77. FIGURE 3....

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

The data from exercise 2 follow.
The estimated regression equation for these data is .
Compute SSE, SST, and S...

Essentials Of Statistics For Business & Economics

13. An accounting firm works for a number of clients in the banking, insurance, and brokerage industries: N1 = ...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

In the following Exercises, find each indefinite integral, using appropriate substitutions. 397. dx 9 x 2

Calculus Volume 2