Math

Mathematical Excursions (MindTap Course List)Building Inspectors A city apportions 34 building inspectors among three regions according to their populations. The following table shows the present population of each region. a. Use the Hamilton method to apportion the inspectors. b. After a year the regions have the following populations. Region A has an increase in population of 442, which is an increase of 3.03%. Region B has an increase in population of 103, which is an increase of 3.10%. Region C has an increase in population of 121, which is an increase of 0.40%. If the inspectors are reapportioned using the Hamilton method, will the population paradox occur? Explain.BuyFind*launch*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4, Problem 8RE

Textbook Problem

Building Inspectors A city apportions 34 building inspectors among three regions according to their populations. The following table shows the present population of each region.

a. Use the Hamilton method to apportion the inspectors.

b. After a year the regions have the following populations.

Region A has an increase in population of 442, which is an increase of 3.03%. Region B has an increase in population of 103, which is an increase of 3.10%. Region C has an increase in population of 121, which is an increase of 0.40%. If the inspectors are reapportioned using the Hamilton method, will the population paradox occur? Explain.

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

In Problems 19-44, factor completely.
19.

Mathematical Applications for the Management, Life, and Social Sciences

Determining Differentiability In Exercises 53-58, describe the x-values at which the function is differentiable...

Calculus: An Applied Approach (MindTap Course List)

Masculine-themed words (such us competitive, independent, analyze, strong) are commonly used in job recruitment...

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

Polar-to-Rectangular Conversion In Exercises 35-44, convert the polar equation to rectangular form and sketch i...

Calculus: Early Transcendental Functions

Evaluating Functions Evaluate the function at the indicated values. 29. f(x) = 2 |x 1|; f(2), f(0), f(12), f(2...

Precalculus: Mathematics for Calculus (Standalone Book)

Fill in the blanks. 8. a. The general form of an equation of a line is_______.

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

Counting: Sales During the Computer Daze special promotion, a customer purchasing a computer and printer is giv...

Understanding Basic Statistics

SOC In problem 3.5 at the end of Chapter 3, you calculated measures of central tendency for four variables for ...

Essentials Of Statistics

In Exercises 25 and 26, find the line that best fits the given points, and compute the correlation coefficient....

Finite Mathematics and Applied Calculus (MindTap Course List)

Find the following percentiles for the standard normal distribution. Interpolate where appropriate. a. 91st b. ...

Probability and Statistics for Engineering and the Sciences

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

Evaluate the algebraic expressions in Problems 35-57 for the given values of the variables. Objectives 2 2(n2+1...

Intermediate Algebra

On May 7, 1992, the space shuttle Endeavour was launched on mission STS-49, the purpose of which was to install...

Single Variable Calculus: Early Transcendentals, Volume I

21 . Within a population. the differences that exist from one person to another are often called diversity. Res...

Statistics for The Behavioral Sciences (MindTap Course List)

Find dy/dx by implicit differentiation. 19. sin(xy) = cos(x + y)

Calculus: Early Transcendentals

Find the first partial derivatives of the function. 39. u=x12+x22++xn2

Multivariable Calculus

1728 Use cylindrical coordinates. a Find the volume of the region E that lies between the paraboloid z=24x2y2 a...

Calculus (MindTap Course List)

Write each ratio in lowest terms: 5ft6in.9ft

Elementary Technical Mathematics

Find sin and cos if the given point lies on the terminal side of . (8,15)

Trigonometry (MindTap Course List)

Fill out the deposit slip for Hi-Volt Electronics based on the following information.
a. Date: November 11, 20x...

Contemporary Mathematics for Business & Consumers

Given: NQ bisects MNP PQ bisects MPR mQ=42 Find: mM

Elementary Geometry For College Students, 7e

Prove that the equalities in Exercises hold for all in . Assume only the basic postulates for and those prop...

Elements Of Modern Algebra

Find the limit, if it exists. If the limit does not exist, explain why. limx3(2x+x3)

Single Variable Calculus: Early Transcendentals

In Exercise 37-40, write each system of linear equations in the form AX=C.Find A1 and use the result to solve t...

Finite Mathematics for the Managerial, Life, and Social Sciences

Changing the Order of Integration In Exercises 43-50.sketch the region R of integration and change the order of...

Calculus: Early Transcendental Functions (MindTap Course List)

Finding an Indefinite Integral of a Trigonometric Function In Exercises 33-42, find the indefinite integral. (5...

Calculus of a Single Variable

For Exercises 51 and 52, use the formula found in Exercise 50. Find the area of a square whose diagonal has len...

Elementary Geometry for College Students

Solve for the unknown and check each of the following combined operations equations. Round answers to 2 decimal...

Mathematics For Machine Technology

The slope of the tangent line to y = x3 at x = 2 is:
18
12
6
0

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

The article Euthanasia Still Acceptable to Solid Majority in U.S. (gallup.com, June 24, 2016, retrieved Novembe...

Introduction To Statistics And Data Analysis

Finding the Volume of a SolidIn Exercises 41 and 42, use the shell method to find the volume of the solid below...

Multivariable Calculus

Define primary and secondary sources, identity examples of each, and explain the role that each plays in a lite...

Research Methods for the Behavioral Sciences (MindTap Course List)

Twelve of the top 20 finishers in the 2009 PGA Championship at Hazeltine National Golf Club in Chaska, Minnesot...

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

Solve each absolute value equation for x. |5x+23|=|x14|

College Algebra (MindTap Course List)

Explain how the mean and the standard deviation describe a distribution of scores.

Research Methods for the Behavioral Sciences (MindTap Course List)

True or False:
For f(x, y) = x2(x + y), x and y are independent variables.

Study Guide for Stewart's Multivariable Calculus, 8th

Using Absolute Value In Exercises 115-118. use the result of Exercise 114 to find the derivative of the functio...

Calculus (MindTap Course List)

A survey of adults aged 18 and older conducted by Princess Cruises asked how many days into your vacation does ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

According to Stefans law of radiation the absolute temperature T of a body cooling in a medium at constant abso...

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

The number of r-combinations of a set of n elements is___

Discrete Mathematics With Applications

Find (a) the monthly payment and (b) the total interest for a simple interest amortized loan of 130,000 for twe...

Mathematics: A Practical Odyssey

Using Social Media in a Job Search. According to Inc.com, 79% of job seekers used social media in their job sea...

Essentials Of Statistics For Business & Economics

Reminder Round all answers to two decimal places unless otherwise indicated. Critical Threshold One equation of...

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

The Goodman Tire and Rubber Company periodically tests its tires for tread wear under simulated road conditions...

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

For the following exercises, simplify each expression by writing it in terms of sines and cosines, then simplif...

Calculus Volume 1

In the following exercises, identify the mats 0f the integrand 10 remove absolute values, then evaluate using t...

Calculus Volume 2

E-Filing The table shows the numbers of tax returns (in millions) made through e-file from 2007 through 2014. L...

College Algebra

Suppose X ~N(4, 2). What value of x is two standard deviations to the right of the mean?

Introductory Statistics