BuyFind*arrow_forward*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.1, Problem 3ES

Textbook Problem

8 views

In the Hamilton apportionment method, explain how to calculate the standard quota for a particular state (group).

To determine

In the Hamilton apportionment method, explain how to calculate the standard quota for a particular state (group).

**Given Information:**

Hamilton method

**Concept used:**

In Hamilton plan, the student of each class is divided by the standard divisor and round the quotient to a whole number.

**Calculation:**

The standard ...

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 In problem 1-4, solve the equations
2.

Mathematical Applications for the Management, Life, and Social Sciences

Evaluate the expression sin Exercises 116. 52535252

Finite Mathematics

Critical Thinking Consider two data sets. Set A:n=5;x=10 Set B:n=50;x=10 (a) Suppose the number 20 is included ...

Understanding Basic Statistics

Finding Limits Numerically In Exercises 5-12, complete the table and use the result to estimate the limit. Use ...

Calculus: An Applied Approach (MindTap Course List)

Find the centroid of the region bounded by the given curves. y = sin x, y = 0, x = /4, x = 3/4

Calculus: Early Transcendentals

Box-Office Receipts The total worldwide box-office receipts for a long-running blockbuster movie are approximat...

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

CJ The numbers of homicides in five U.S. states and five Canadian provinces for the years 1997 and 2012 are pre...

Essentials Of Statistics

Find the functions (a) f g, (b) g f, (c) f f, and (d) g g and their domains. 36. f(x) = sin x, g(x) = x2 + ...

Single Variable Calculus

Evaluate the algebraic expressions in Problems 35-57 for the given values of the variables. Objectives 2 3x+7y,...

Intermediate Algebra

(a) Find a function f such that F = f and (b) use part (a) to evaluate C F dr along the given curve C. 14. F(...

Multivariable Calculus

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)

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

Applied Calculus

For a population with a mean of =70, a score of X=64corresponds to z=1.50. What is the population standard devi...

Statistics for The Behavioral Sciences (MindTap Course List)

Deciding Whether an Equation Is a Function In Exercises 43-46, determine whether y is a function of x. y2=x21

Calculus: Early Transcendental Functions

(a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimum values of...

Single Variable Calculus: Early Transcendentals, Volume I

Aphid infestation of fruit trees can be controlled either by spraying with pesticide or by inundation with lady...

Probability and Statistics for Engineering and the Sciences

Find the volume of the described solid S. A frustum of a pyramid with square base of b square top of side a, an...

Calculus (MindTap Course List)

Describe the data for a correlation research study and explain how these data are different from the data obtai...

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

Inequalities Involving Quotients Solve the nonlinear inequality. Express the solution using interval notation, ...

Precalculus: Mathematics for Calculus (Standalone Book)

Which is larger? 1 square kilometer or 1 hectre

Elementary Technical Mathematics

Judging from the protractor provided, estimate the measure of each angle to the nearest multiple of 5 such as, ...

Elementary Geometry For College Students, 7e

Use Exhibit 18-1 to determine the sales tax and calculate the total purchase price for the following items.
I...

Contemporary Mathematics for Business & Consumers

Find a polar equation for the curve represented by the given Cartesian equation. 25. x2 + y2 = 2cx

Single Variable Calculus: Early Transcendentals

Exercises
Describe the elements in the group of symmetries of the given bounded figure.

Elements Of Modern Algebra

For each equation, identify the amplitude, period, horizontal shift, and phase. Then label the axes accordingly...

Trigonometry (MindTap Course List)

Let E and F be events of an experiment with sample space S. Suppose P(E)=0.5, P(F)=0.6, and P(EF)=0.2. Compute:...

Finite Mathematics for the Managerial, Life, and Social Sciences

Determining Concavity In Exercises 5-16, determine the open intervals on which the graph of the function is con...

Calculus of a Single Variable

Finding a Limit In Exercises 11-32, find the limit (if it exists). If it does not exist, explain why. limx2ln[x...

Calculus: Early Transcendental Functions (MindTap Course List)

For Exercises 32 to 35, consider kite ABCD with ABAD andBCDC. For kite ABCD, AB=BC+5. If the perimeter of ABCD ...

Elementary Geometry for College Students

Find dimension x. All dimensions are in inches.

Mathematics For Machine Technology

The article New York Citys Graffiti-Removal Response Time Rises (The Wall Street Journal, September 16, 2016, w...

Introduction To Statistics And Data Analysis

Safegate Foods, Inc., is redesigning the checkout lanes in its supermarkets throughout the country and is consi...

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

f(x)=x+2x(x5) is continuous for all x except: a) x = 2 b) x = 2, 0, 5 c) x = 0, 5 d) f is continuous for all x.

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

The purpose of an independent-measures t-test is to determine whether the mean difference obtained between two ...

Research Methods for the Behavioral Sciences (MindTap Course List)

Identify the general advantages and disadvantages of single-case designs compared to traditional group designs.

Research Methods for the Behavioral Sciences (MindTap Course List)

During early 2012, economic hardship was stretching the limits of Frances welfaresystem. One indicator of the l...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Practice: Determine how many zeros each polynomial function has. One zero of P(x)=x(3x42)12x is 0. How many oth...

College Algebra (MindTap Course List)

The equation of the tangent plane corresponding to (1, 2) to the surface S parameterized by r(u, v) = (u + v)i ...

Study Guide for Stewart's Multivariable Calculus, 8th

Think About ItIn Exercises 87 and 88, two particles travel along the space curves r(t) and u(t). It r(t) and u(...

Multivariable Calculus

Evaluating a Surface Integral In Exercises 77 and 78, evaluate sf(x,y)=dS. f(x,y)=x2yS:r(u,v)=5cosui+5sinuj+vk0...

Calculus (MindTap Course List)