BuyFind*arrow_forward*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.2, Problem 18ES

Textbook Problem

1 views

Cell Phone Usage A journalist reviewing various cellular phone services surveyed 200 customers and asked each one to rank four service providers in order of preference. The group’s results are shown below.

Using the Borda count method, which provider is the favorite of these customers?

To determine

Using the Borda count method, which provider is the favorite of these customers?

**Given Information:**

Rankings | ||||||

AT & T | | | | | | |

Sprint Nextel | | | | | | |

Verizon | | | | | | |

T-Mobile | | | | | | |

Number of votes | | | | | |

**Concept used:**

Borda count method is used to choose single −winner election methods in which candidate ranks in order of preference.

**Calculation:**

Since a journalist reviewing various cellular phone services surveyed

Each 1^{s}^{t} place vote receive ^{n}^{d} place vote receive ^{r}^{d} place vote receive ^{t}^{h} place vote receive

AT & T:

Mathematical Excursions (MindTap Course List)

Show all chapter solutions

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

Show solutions Convert each expression in Exercises 25-50 into its technology formula equivalent as in the table in the text. ...

Finite Mathematics

In problems 45-62, perform the indicated operations and simplify.
53.

Mathematical Applications for the Management, Life, and Social Sciences

Writing an equation of a Line In Exercises 6170, find an equation of the line that passes through the points. T...

Calculus: An Applied Approach (MindTap Course List)

In Exercises 63-68, use the graph of the function f to determine limxf(x) and limxf(x) 66.

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

For Problems 47-54, translate each English phrase into an algebraic expression, and use n to represent the unkn...

Intermediate Algebra

Find the Taylor series for .f(x) centered at the given value of n. [Assume that f has a power series expansion....

Calculus: Early Transcendentals

Finding a Differential In Exercises 105 and 106, find the differential d y of the given function. y=36x2

Calculus: Early Transcendental Functions

Evaluate the limit. limx1+(xx11lnx)

Single Variable Calculus: Early Transcendentals, Volume I

Calculate each expression in Exercises 124, giving the answer as a whole number or a fraction in lowest terms. ...

Applied Calculus

GER Twenty-five residents of a community for senior citizens were asked to keep track of the number of hours th...

Essentials Of Statistics

Matrix Operations The matrices A, B, and C are defined as follows. A=[0.31.12.40.90.10.40.70.30.5]B=[1.20.100.5...

Precalculus: Mathematics for Calculus (Standalone Book)

Critical Thinking For each of the following situations, explain why the combinations rule or the permutations r...

Understanding Basic Statistics

The number of customers waiting for gift-wrap service at a department store is an rv X with possible values 0, ...

Probability and Statistics for Engineering and the Sciences

For the following set of scores: a. Construct a frequency distribution table. b. Sketch a histogram showing the...

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

The temperature at a point x, y on a flat metal plate is given by T(x,y)=60/(1+x2+y2), where T is measured in C...

Calculus (MindTap Course List)

Convert each expression in Exercises 25-50 into its technology formula equivalent as in the table in the text. ...

Finite Mathematics and Applied Calculus (MindTap Course List)

Find equations of (a) the tangent plane and (b) the normal line to the given surface at the specified point. 44...

Multivariable Calculus

On an exam with a mean of M=78 , you obtain a score of X=84 . Would you prefer a standard deviation of s=2 or s...

Statistics for The Behavioral Sciences (MindTap Course List)

A homeowner mows the lawn every Wednesday afternoon. Sketch a rough graph of the height of the grass as a funct...

Single Variable Calculus

Give the number of significant digits in each measurement: 7.00 L

Elementary Technical Mathematics

Use your graphing calculator to determine if each to an identity by graphing the left expression and right expr...

Trigonometry (MindTap Course List)

Convert the following percents to reduced fractions, mixed numbers, or whole numbers.
13. 7.44%

Contemporary Mathematics for Business & Consumers

Evaluate the integral. 34. /4/21+4cotx4cotxdx

Single Variable Calculus: Early Transcendentals

In Exercises 51 to 54, use Venn diagrams to determine whether the argument is valid or not valid. 1. If an anim...

Elementary Geometry For College Students, 7e

Label each of the following statements as either true or false.
2. for all nonempty sets A and B.

Elements Of Modern Algebra

In Exercises 9-16, compute the expressions if possible, given that A=[131213402]B=[213211142]C=[312164213] 2(3A...

Finite Mathematics for the Managerial, Life, and Social Sciences

Using a Power Series Let f(x)=n=pcnxn where cn+1cn for n0. (a) Find the interval of convergence of the series. ...

Calculus: Early Transcendental Functions (MindTap Course List)

Finding an Inverse Function In Exercises 35-46, (a) find the inverse function of f , (b) graph/ and f1 on the s...

Calculus of a Single Variable

Note: Exercises preceded by an asterisk are of a more challenging nature. In Exercises 11 to 22, sketch and des...

Elementary Geometry for College Students

In Exercises 27-56, use a calculator to find each value. Give the entire display of your calculator. a.ln5 b.ln...

Mathematics: A Practical Odyssey

Solve the following exercises using the Law of Cosines. Find side x. All dimensions are in inches.

Mathematics For Machine Technology

The Wall Street Journal conducted a study of basketball spending at top colleges. A portion of the data showing...

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

Graphical and Analytical Analysis In Exercise 7 and 8, (a) sketch an approximate solution of the differential e...

Multivariable Calculus

True or False:

Study Guide for Stewart's Multivariable Calculus, 8th

Describe the major elements of the APA ethical guidelines for nonhuman subjects in research.

Research Methods for the Behavioral Sciences (MindTap Course List)

Exercise 5 gave the following data on weekly gross revenue, television advertising, and newspaper advertising f...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Finding Orthogonal Trajectories In Exercises 45 and 46, find the orthogonal trajectories for the family of curv...

Calculus (MindTap Course List)

In Figure 11.5, we show three combinations of main effects and interactions for a 2 2 factorial design. Using ...

Research Methods for the Behavioral Sciences (MindTap Course List)

n=12(14)n converges to: a) 94 b) 2 c) 23 d) the series diverges

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

Fill in the blanks. The point where a line intersects the _________ is called the y-intercept.

College Algebra (MindTap Course List)

An article in the New Times San Luis Obispo (February 4, 2016) reported the accompanying concussion rates for d...

Introduction To Statistics And Data Analysis

For the following exercises, write the equation in equivalent logarithmic form. 258. (13)3=127

Calculus Volume 1

In each of 8—21, either draw a graph with the given specifications or explain why no such graph exists. 17. Gra...

Discrete Mathematics With Applications

Find a solution of xdydx=y2y that passes through the indicated points. (a) (0, 1) (b) (0,.0) (c) (12,12) (d) (2...

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

What Formulas Mean In Exercises S-25 through S-33, you are asked to relate functional notation to practical exp...

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

Price per Gallon of Gasoline. Suppose that the mean retail price per gallon of regular grade gasoline in the Un...

Essentials Of Statistics For Business & Economics

42. A local bank reviewed its credit card policy with the intention of recalling some of its credit cards. In t...

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

In the following exercises, evaluate the integral using area formulas. 76. 03(3x)dx

Calculus Volume 2