Math
Mathematical Excursions (MindTap Course List)Medical Care A hospital district consists of six hospitals. The district administrators have decided that 48 new nurses should be apportioned based on the number of beds in each of the hospitals. The following table shows the number of beds in each hospital. a. Determine the standard divisor. What is the meaning of the standard divisor in the context of this exercise? b. Use the Hamilton method to determine the number of nurses to be apportioned to each hospital. c. Use the Jefferson method to determine the number of nurses to be apportioned to each hospital. d. How do the apportionment results produced using the Jefferson method compare with the results produced using the Hamilton method?Medical Care A hospital district consists of six hospitals. The district administrators have decided that 48 new nurses should be apportioned based on the number of beds in each of the hospitals. The following table shows the number of beds in each hospital. a. Determine the standard divisor. What is the meaning of the standard divisor in the context of this exercise? b. Use the Hamilton method to determine the number of nurses to be apportioned to each hospital. c. Use the Jefferson method to determine the number of nurses to be apportioned to each hospital. d. How do the apportionment results produced using the Jefferson method compare with the results produced using the Hamilton method?
BuyFindlaunch
Mathematical Excursions (MindTap C...
4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
BuyFindlaunch
Mathematical Excursions (MindTap C...
4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Solutions
Chapter 4.1, Problem 11ES
Textbook Problem
Medical Care A hospital district consists of six hospitals. The district administrators have decided that 48 new nurses should be apportioned based on the number of beds in each of the hospitals. The following table shows the number of beds in each hospital.
a. Determine the standard divisor. What is the meaning of the standard divisor in the context of this exercise?
b. Use the Hamilton method to determine the number of nurses to be apportioned to each hospital.
c. Use the Jefferson method to determine the number of nurses to be apportioned to each hospital.
d. How do the apportionment results produced using the Jefferson method compare with the results produced using the Hamilton method?
check_circle
Expert Solution
Want to see the full answer?
Check out a sample textbook solution.Chapter 4 Solutions
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...
Additional Math Textbook Solutions
Find more solutions based on key concepts
Insert the proper sign to replacein problems 7-14.
12.
Mathematical Applications for the Management, Life, and Social Sciences
Expand each expression in Exercises 122. (2x3)2
Finite Mathematics
Solve the equations in Exercises 126. 2x3x2x3x+1=0
Finite Mathematics and Applied Calculus (MindTap Course List)
A driver sets out on a journey. For the first half of the distance she drives at the leisurely pace of 30 mi/h;...
Calculus (MindTap Course List)
Elevated energy consumption during exercise continues after the workout ends. Because calories burned after exe...
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
Finding Domain and Range Graphically A function f is given. (a) Use a graphing calculator to draw the graph of ...
Precalculus: Mathematics for Calculus (Standalone Book)
For Problems 3-11, simplify each numerical expression. 5(13)3(12)+7(23)+1
Intermediate Algebra
Determining Continuity In Exercises 11-40, describe the interval(s) on which the function is continuous. Explai...
Calculus: An Applied Approach (MindTap Course List)
Find the mean for the scores in the following frequency distribution table: X f 6 1 5 4 4 2 3 2 2 1
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
CJ About half of the police officers in Shinbone, Kansas, have completed a special course in investigative proc...
Essentials Of Statistics
Manufacturing Costs Suppose that the total cost of manufacturing x units of a certain product is C(x) dollars. ...
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
A sample of n=25 scores has a mean of M=68 . Find the z-score for this sample: If it was obtained from a popula...
Statistics for The Behavioral Sciences (MindTap Course List)
Use Greens Theorem to evaluate the line integral along the given positively oriented curve. 6. C (x2 + y2) dx +...
Multivariable Calculus
The error function erf(x)=20xet2dt is used in probability, statistics, and engineering. (a) Show that abet2dt=1...
Single Variable Calculus: Early Transcendentals, Volume I
Finding an Indefinite Integral In Exercises15-34, find the indefinite integral. (Note: Solve by the simplest me...
Calculus: Early Transcendental Functions
By any method, determine all possible real solutions of each equation in Exercises 1330. Check your answers by ...
Applied Calculus
Evaluate the limit, if it exists. 21. limh09+h3h
Single Variable Calculus
If u and v are the vectors shown in the figure, find u v and |u v|. Is u v directed into the page of it?
Calculus: Early Transcendentals
Change each fraction to a percent: 35
Elementary Technical Mathematics
10. Let and be mappings from to. Prove that if is invertible, then is onto and is one-to-one. ...
Elements Of Modern Algebra
For Questions 1 through 4, fill in the blank with an appropriate word. The law of sines states that the ratio o...
Trigonometry (MindTap Course List)
Complete Exercises 11 -16 as they relate to the sum-of-the-years' digits method of depreciation.
Useful Life Su...
Contemporary Mathematics for Business & Consumers
In Exercises 3 and 4, give the negation of each statement. 3. a Christopher Columbus crossed the Atlantic Ocean...
Elementary Geometry For College Students, 7e
If f is continuous on [0, ], use the substitution u = x to show that 0xf(sinx)dx=20f(sinx)dx
Single Variable Calculus: Early Transcendentals
BUYING TRENDS OF HOME BUYERS From data collected over the past decade by the Association of Realtors of a certa...
Finite Mathematics for the Managerial, Life, and Social Sciences
Using Two Methods In Exercises 1316, find the indefinite integral (a) using integration tables and (b) using th...
Calculus: Early Transcendental Functions (MindTap Course List)
In the rectangle shown, what is true of the lengths of each pair of opposite sides?
Elementary Geometry for College Students
CONCEPT CHECK Shell Method Explain how to use the shell method to find the volume of a solid of revolution.
Calculus of a Single Variable
Raise the following numbers to the indicated power. 12. 343
Mathematics For Machine Technology
Write each system as a matrix and solve it by Gaussian-Jordan elimination. If a system has infinitely many solu...
College Algebra (MindTap Course List)
Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through sev...
STATISTICS F/BUSINESS+ECONOMICS-TEXT
The report State of the News Media 2015 (Pew Research Center, April 29, 2015) published the accompanying circul...
Introduction To Statistics And Data Analysis
At the beginning of this chapter, we described a study in which participants shouted either a swear word or a n...
Research Methods for the Behavioral Sciences (MindTap Course List)
The average waiting time for a patient at an El Paso physicians office is just over 29 minutes, well above the ...
Statistics for Business & Economics, Revised (MindTap Course List)
Describe the general characteristics of the survey research design.
Research Methods for the Behavioral Sciences (MindTap Course List)
For
Study Guide for Stewart's Multivariable Calculus, 8th
f(x) dx = F(x) means a) f(x) = F(x) b) f(x) = F(x) c) f(x) = F(b) F(a) d) f(x) = F(x) + C
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Minimum Area A rectangular poster is to contain 648 square inches of print. The margins at the top and bottom o...
Calculus (MindTap Course List)
Continuity In Exercises 41 and 42, discuss the continuity of the function and evaluate the limit of f(x, y) (if...
Multivariable Calculus
List all of the proper factors of 54.
Mathematics: A Practical Odyssey
A small metal bar, whose initial temperature was 20 C, is dropped into a large container of boiling water. How ...
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
Show that log2n is (log2n) .
Discrete Mathematics With Applications
Where Millionaires Live in America. In a 2018 study, Phoenix Marketing International identified Bridgeport, Con...
Essentials Of Statistics For Business & Economics
SAT Scores. The College Board SAT college entrance exam consists of three parts: math, writing, and critical re...
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
TEST YOUR UNDERSTANDING | FOR EXAMPLE 4.7 The salinity of a saltwater aquarium is being raised to a target valu...
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
For the following problems, consider radioactive dating. A human skeleton is found in ail archeological dig. Ca...
Calculus Volume 1
Graphing a Natural Logarithmic Function In Exercises 67-70, find the domain, x-intercept, and vertical asymptot...
College Algebra
Assume H0: = 9 and H0:< 9. Is this a left-tailed, light-tailed, or two-tailed test?
Introductory Statistics
