BuyFind*arrow_forward*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.1, Problem 28ES

Textbook Problem

27 views

Demographics The table below shows the populations of five European countries. A committee of 20 people from these countries is to be formed using the Webster method of apportionment.

a. Explain why 13.500,000 *cannot* be used as a modified standard divisor.

b. Explain why 13.750.000 *can* be used as a modified standard divisor.

c. Use the Webster apportionment method to determine the apportionment of the 20 committee members.

To determine

**(a)**

Explain why

**Given Information:**

Country | Population |

France | |

Germany | |

Italy | |

Spain | |

Belgium | |

Total | |

A committee of

**Concept used:**

Standard divisor

**Calculation:**

First we use

Country | Population | State Quota | Number of people |

France | | | |

Germany | | |

To determine

**(b)**

Explain why

To determine

**(c)**

Use the Webster apportionment method to determine tile apportionment of the

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 Solve each equation in Exercises 107120 for x, rounding your answer to four significant digits where necessary....

Finite Mathematics

Insert the proper sign to replacein problems 7-14.
14.

Mathematical Applications for the Management, Life, and Social Sciences

At St. Algebra College, the 200 freshmen enrolled in introductory biology took a final exam on which their mean...

Essentials Of Statistics

Verifying a Polygon In Exercises 1720, show that the points form the vertices of the indicated polygon. (A rhom...

Calculus: An Applied Approach (MindTap Course List)

Graphs of f and g are shown. Decide whether each function is even, odd, or neither. Explain your reasoning. 69.

Single Variable Calculus: Early Transcendentals, Volume I

For Problems 55-94, simplify each numerical expression. Objectives 7 1618+19[1422(3141)]

Intermediate Algebra

In Exercises 73-80, find the indicated limits, if they exist. 80. limx2x21x3+x2+1

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

In Exercises 1728, use the logarithm identities to obtain the missing quantity.

Finite Mathematics and Applied Calculus (MindTap Course List)

In a population distribution, a score of X=28corresponds to z=1.00 and a score of X=34corresponds to z=0.50. Fi...

Statistics for The Behavioral Sciences (MindTap Course List)

Linear Inequalities Solve the linear inequality. Express the solution using interval notation and graph the sol...

Precalculus: Mathematics for Calculus (Standalone Book)

39-42 Differentiate f and the domain of f. f(x)=In(x22x)

Calculus (MindTap Course List)

For the following scores, the smallest value is X 7 and the largest value is X 48. a. Determine the best inte...

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

Evaluate the integral E(xy+z2)dv, where E=(x,y,z)0x2,0y1,0z3 using three different orders of integration. 3-8 E...

Multivariable Calculus

Let 1 0, 2 0, with 1 + 2 = . Then P(z1X-/nz2)=1- a. Use this equation to derive a more general expression for...

Probability and Statistics for Engineering and the Sciences

The Following tables show the first-round winning scores of the NCAA men's and women's basketball teams. TABLE ...

Understanding Basic Statistics

Evaluate f(3), f(0), and f(2) for the piecewise defined function. Then sketch the graph of the function. 44. f(...

Single Variable Calculus

Special Integration Formulas In Exercises 15-18, use the Special Integration Formulas (Theorem 8.2) to find the...

Calculus: Early Transcendental Functions

The curves with equations xn + yn = 1, n = 4, 6, 8, . . ., are called fat circles. Graph the curves with n = 2,...

Calculus: Early Transcendentals

Expand each expression in Exercises 122. x(4x+6)

Applied Calculus

In Illustration 15, CP = 12.2 m and PB = 10.8 m. Find the radius of the circle, where C is the center. ILLUSTRA...

Elementary Technical Mathematics

Solve each of the following triangles. a=48yd,b=75yd,c=63yd

Trigonometry (MindTap Course List)

24. Let be a group and its center. Prove or disprove that if is in, then and are in.

Elements Of Modern Algebra

Calculate the missing information based on the format of the income statement.
Net Sales Cost of Goods Sold Gro...

Contemporary Mathematics for Business & Consumers

Draw a right triangle and construct the angle bisectors of the triangle. Do the angle bisectors appear to meet ...

Elementary Geometry For College Students, 7e

(a) Find y by implicit differentiation. (b) Solve the equation explicitly for y and differentiate to get y in t...

Single Variable Calculus: Early Transcendentals

In Exercises 17-22, represent the argument symbolically, and determine whether it is a valid argument. If Mary ...

Finite Mathematics for the Managerial, Life, and Social Sciences

Mass In Exercises 13 and 14, find the mass of the surface lamina S of density . S:2x+3y+6z=12, first octant. (x...

Calculus: Early Transcendental Functions (MindTap Course List)

Line l has slope m=23. Find the slope of any line that is a parallel to l. _ b perpendicular to l. _

Elementary Geometry for College Students

Review In Exercises 53-70, determine the convergence or divergence of the series using any appropriate test fro...

Calculus of a Single Variable

Add: 7ft 934 in. +4ft 512 in.

Mathematics For Machine Technology

Find the sum of the first 40 terms in each sequence. 12,-32,-72,

College Algebra (MindTap Course List)

The article Caffeine Content of Drinks (caffeineinformer.com/the-caffeine-database, retrieved February 22, 2018...

Introduction To Statistics And Data Analysis

A researcher conducts a study with 6-year-old children at a summer computer camp for gifted children. However, ...

Research Methods for the Behavioral Sciences (MindTap Course List)

Finding a Derivative of a Trigonometric Function In Exercises 35-54, find the derivative of the trigonometric f...

Calculus (MindTap Course List)

Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the z-score for each of the five observat...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

The lamina at the right has center of mass (38,65) and uniform density . The moments about the x- and y-axes ar...

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

Describe, compare, and contrast the five research strategies (descriptive, correlational, experimental, quasi-e...

Research Methods for the Behavioral Sciences (MindTap Course List)

The figure at the right shows one point P on a conic and the distances of P to the focus and the directrix of a...

Study Guide for Stewart's Multivariable Calculus, 8th

With the gasoline time series data from Table 17.1, show the exponential smoothing forecasts using = .1. a. Ap...

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

Finding Partial Derivatives In Exercises 11-40, find both first partial derivatives. z=x22y+3y2x

Multivariable Calculus

Rewrite each statement of 39-44 if-then form. Passing a comprehensive exam is a necessary condition for obtaini...

Discrete Mathematics With Applications

In Problem 21 a one-parameter family of solutions of the DE P = P(1 P) is given. Does any solution curve pass ...

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

In Exercises 16, determine whether the given ordered pair or ordered triple solves the given system of equation...

Mathematics: A Practical Odyssey

ReminderRound all answers to two decimal places unless otherwise indicated. Equilibrium PriceThis is a continua...

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

Income and Percent Audited. The Transactional Records Access Clearinghouse at Syracuse University reported data...

Essentials Of Statistics For Business & Economics

Match the description of the conic with its standard equation. The equations are labeled (a)-(f). axh2a2+yk2b2=...

College Algebra

Ten weeks of data on the Commodity Futures Index are 7.35, 7.40, 7.55, 7.56, 7.60, 7.52, 7.52, 7.70, 7.62, and ...

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