Nature of Mathematics (MindTap Course List)
13th Edition
ISBN: 9781133947257
Author: karl J. smith
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 17.4, Problem 51PS
To determine
The number of seats to be apportioned for each district by using Hamilton’s plan when the township of Bella Rosa is divided into two districts, uptown
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The first six problems relate to the results of apportioning seats to states according to different methods.
In the nation of Gulfiana, the Legislature offers 27 seats, to be apportioned according to each state's population.
State
Population
Alassippi
16,600
Florgia
8,381
Louisiansas
5,885
Kennessee
1,950
To answer the next six problems, it is recommended you determine the apportionment of the Legislature according to Jefferson's Method, Adams' Method, and Webster's Method.
Helpful Nudge: To cut down on trial-and-error, consider the following list of numbers. This list includes appropriate modified divisors for each of these methods.
1085
1150
1215
1250
1325
The first six problems relate to the results of apportioning seats to states according to different methods.
In the nation of Gulfiana, the Legislature offers 27 seats, to be apportioned according to each state's population.
State
Population
Alassippi
16,600
Florgia
8,381
Louisiansas
5,885
Kennessee
1,950
To answer the next six problems, it is recommended you determine the apportionment of the Legislature according to Jefferson's Method, Adams' Method, and Webster's Method.
Helpful Nudge: To cut down on trial-and-error, consider the following list of numbers. This list includes appropriate modified divisors for each of these methods.
1085
1150
1215
1250
1325
How many seats does Florgia get according to the Jefferson apportionment?
The first six problems relate to the results of apportioning seats to states according to different methods.
In the nation of Gulfiana, the Legislature offers 27 seats, to be apportioned according to each state's population.
State
Population
Alassippi
16,600
Florgia
8,381
Louisiansas
5,885
Kennessee
1,950
To answer the next six problems, it is recommended you determine the apportionment of the Legislature according to Jefferson's Method, Adams' Method, and Webster's Method.
Helpful Nudge: To cut down on trial-and-error, consider the following list of numbers. This list includes appropriate modified divisors for each of these methods.
1085
1150
1215
1250
1325
How many seats does Alassippi get according to the Jefferson apportionment?
Chapter 17 Solutions
Nature of Mathematics (MindTap Course List)
Ch. 17.1 - Prob. 1PSCh. 17.1 - Prob. 2PSCh. 17.1 - Prob. 3PSCh. 17.1 - Prob. 4PSCh. 17.1 - Prob. 5PSCh. 17.1 - Prob. 6PSCh. 17.1 - Prob. 7PSCh. 17.1 - Prob. 8PSCh. 17.1 - Prob. 9PSCh. 17.1 - Prob. 10PS
Ch. 17.1 - Prob. 11PSCh. 17.1 - Prob. 12PSCh. 17.1 - Prob. 13PSCh. 17.1 - Prob. 14PSCh. 17.1 - In voting among three candidates, the outcomes are...Ch. 17.1 - Prob. 16PSCh. 17.1 - Prob. 17PSCh. 17.1 - Prob. 18PSCh. 17.1 - Prob. 19PSCh. 17.1 - In voting among four candidates, the outcomes are...Ch. 17.1 - Prob. 21PSCh. 17.1 - In voting among four candidates, the outcomes are...Ch. 17.1 - In voting among four candidates, the outcomes are...Ch. 17.1 - Prob. 24PSCh. 17.1 - a.How many different ways can a voter rank 3...Ch. 17.1 - Prob. 26PSCh. 17.1 - How many different ways can a voter rank n...Ch. 17.1 - Prob. 28PSCh. 17.1 - Prob. 29PSCh. 17.1 - Prob. 30PSCh. 17.1 - In voting method among three candidates, the...Ch. 17.1 - Prob. 32PSCh. 17.1 - Prob. 33PSCh. 17.1 - Prob. 34PSCh. 17.1 - Twelve board members are voting on after-meeting...Ch. 17.1 - Prob. 36PSCh. 17.1 - Prob. 37PSCh. 17.1 - Prob. 38PSCh. 17.1 - Prob. 39PSCh. 17.1 - Twelve people serve on a board and are considering...Ch. 17.1 - Twelve people serve on a board and are considering...Ch. 17.1 - Twelve people serve on a board and are considering...Ch. 17.1 - Twelve people serve on a board and are considering...Ch. 17.1 - Prob. 44PSCh. 17.1 - Prob. 45PSCh. 17.1 - Prob. 46PSCh. 17.1 - Seventeen people serve on a board and are...Ch. 17.1 - Seventeen people serve on a board and are...Ch. 17.1 - Prob. 49PSCh. 17.1 - Prob. 50PSCh. 17.1 - Prob. 51PSCh. 17.1 - Prob. 52PSCh. 17.1 - Prob. 53PSCh. 17.1 - Suppose your college transcripts show the...Ch. 17.1 - Prob. 55PSCh. 17.1 - Prob. 56PSCh. 17.1 - Prob. 57PSCh. 17.1 - Prob. 58PSCh. 17.1 - Prob. 59PSCh. 17.1 - Prob. 60PSCh. 17.2 - Prob. 1PSCh. 17.2 - Prob. 2PSCh. 17.2 - Prob. 3PSCh. 17.2 - Prob. 4PSCh. 17.2 - Prob. 5PSCh. 17.2 - Prob. 6PSCh. 17.2 - Prob. 7PSCh. 17.2 - Prob. 8PSCh. 17.2 - Prob. 9PSCh. 17.2 - Prob. 10PSCh. 17.2 - Prob. 11PSCh. 17.2 - Prob. 12PSCh. 17.2 - An election with three candidates has the...Ch. 17.2 - Prob. 14PSCh. 17.2 - Consider the following voting situation:...Ch. 17.2 - Consider the following voting situation:...Ch. 17.2 - Prob. 17PSCh. 17.2 - The philosophy department is selecting a...Ch. 17.2 - The Adobe School District is hiring a vice...Ch. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - Prob. 22PSCh. 17.2 - Prob. 23PSCh. 17.2 - Prob. 24PSCh. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - The seniors at Weseltown High School are voting...Ch. 17.2 - Prob. 29PSCh. 17.2 - A focus group of 33 people for ABCTV were asked to...Ch. 17.2 - Prob. 31PSCh. 17.2 - Prob. 32PSCh. 17.2 - Prob. 33PSCh. 17.2 - Prob. 34PSCh. 17.2 - Prob. 35PSCh. 17.2 - Prob. 36PSCh. 17.2 - Prob. 37PSCh. 17.2 - Prob. 38PSCh. 17.2 - HISTORICAL QUEST In 1993 the 101st International...Ch. 17.2 - The U.S. president is elected with a vote of the...Ch. 17.2 - HISTORICAL QUEST Article 7 of the French...Ch. 17.2 - A group of fun-loving people have decided to play...Ch. 17.2 - A group of fun-loving people have decided to play...Ch. 17.2 - Prob. 44PSCh. 17.2 - Prob. 45PSCh. 17.2 - The fraternity is electing a national president,...Ch. 17.2 - The fraternity is electing a national president,...Ch. 17.2 - The fraternity is electing a national president,...Ch. 17.2 - Prob. 49PSCh. 17.2 - Consider an election with three candidates with...Ch. 17.2 - Consider an election with four candidates with the...Ch. 17.2 - Prob. 52PSCh. 17.2 - Consider an election with four candidates with the...Ch. 17.2 - Prob. 54PSCh. 17.2 - Consider an election with three candidates with...Ch. 17.2 - Prob. 56PSCh. 17.2 - Prob. 57PSCh. 17.2 - Prob. 58PSCh. 17.2 - Prob. 59PSCh. 17.2 - The Game of WIN Construct a set of nonstandard...Ch. 17.3 - Prob. 1PSCh. 17.3 - Prob. 2PSCh. 17.3 - Prob. 3PSCh. 17.3 - IN YOUR OWN WORDS What is the quota rule? Does...Ch. 17.3 - Prob. 5PSCh. 17.3 - Prob. 6PSCh. 17.3 - Prob. 7PSCh. 17.3 - Prob. 8PSCh. 17.3 - Prob. 9PSCh. 17.3 - Prob. 10PSCh. 17.3 - Modified quotas are given in Problems 714. Round...Ch. 17.3 - Prob. 12PSCh. 17.3 - Prob. 13PSCh. 17.3 - Prob. 14PSCh. 17.3 - Find the standard divisor to two decimal places...Ch. 17.3 - Prob. 16PSCh. 17.3 - Prob. 17PSCh. 17.3 - Prob. 18PSCh. 17.3 - Prob. 19PSCh. 17.3 - Prob. 20PSCh. 17.3 - Prob. 21PSCh. 17.3 - Prob. 22PSCh. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - For the given year, find the standard quotas for...Ch. 17.3 - Consider the populations given in Problems 2932....Ch. 17.3 - Consider the populations given in Problems 2932....Ch. 17.3 - Consider the populations given in Problems 29-32....Ch. 17.3 - Consider the populations given in Problems 29-32....Ch. 17.3 - Consider the populations given in Problems 33-36....Ch. 17.3 - Consider the populations given in Problem. a.Find...Ch. 17.3 - Prob. 35PSCh. 17.3 - Prob. 36PSCh. 17.3 - Prob. 37PSCh. 17.3 - Prob. 38PSCh. 17.3 - Prob. 39PSCh. 17.3 - Prob. 40PSCh. 17.3 - Consider the following apportionment problem for...Ch. 17.3 - Prob. 42PSCh. 17.3 - Prob. 43PSCh. 17.3 - Consider the following apportionment problem for...Ch. 17.3 - Prob. 45PSCh. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Prob. 47PSCh. 17.3 - Prob. 48PSCh. 17.3 - Prob. 49PSCh. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Prob. 54PSCh. 17.3 - Prob. 55PSCh. 17.3 - Prob. 56PSCh. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Prob. 58PSCh. 17.3 - Consider the following apportionment problem:...Ch. 17.3 - Consider the following apportionment problem:...Ch. 17.4 - Prob. 1PSCh. 17.4 - Prob. 2PSCh. 17.4 - Prob. 3PSCh. 17.4 - Prob. 4PSCh. 17.4 - Prob. 5PSCh. 17.4 - Prob. 6PSCh. 17.4 - Prob. 7PSCh. 17.4 - Prob. 8PSCh. 17.4 - Prob. 9PSCh. 17.4 - Prob. 10PSCh. 17.4 - Prob. 11PSCh. 17.4 - Prob. 12PSCh. 17.4 - Prob. 13PSCh. 17.4 - Prob. 14PSCh. 17.4 - Prob. 15PSCh. 17.4 - Prob. 16PSCh. 17.4 - Prob. 17PSCh. 17.4 - Prob. 18PSCh. 17.4 - Prob. 19PSCh. 17.4 - Prob. 20PSCh. 17.4 - Prob. 21PSCh. 17.4 - Prob. 22PSCh. 17.4 - Prob. 23PSCh. 17.4 - Prob. 24PSCh. 17.4 - Prob. 25PSCh. 17.4 - In Problems 2326, apportion the indicated number...Ch. 17.4 - Prob. 27PSCh. 17.4 - Prob. 28PSCh. 17.4 - Prob. 29PSCh. 17.4 - Prob. 30PSCh. 17.4 - Prob. 31PSCh. 17.4 - Prob. 32PSCh. 17.4 - Prob. 33PSCh. 17.4 - Prob. 34PSCh. 17.4 - Prob. 35PSCh. 17.4 - Prob. 36PSCh. 17.4 - Prob. 37PSCh. 17.4 - Prob. 38PSCh. 17.4 - Prob. 39PSCh. 17.4 - Prob. 40PSCh. 17.4 - Prob. 41PSCh. 17.4 - Prob. 42PSCh. 17.4 - Prob. 43PSCh. 17.4 - Prob. 44PSCh. 17.4 - Prob. 45PSCh. 17.4 - Prob. 46PSCh. 17.4 - Prob. 47PSCh. 17.4 - Prob. 48PSCh. 17.4 - Prob. 49PSCh. 17.4 - Prob. 50PSCh. 17.4 - Prob. 51PSCh. 17.4 - Prob. 52PSCh. 17.4 - Prob. 53PSCh. 17.4 - In problems 54-56, suppose the annual salaries of...Ch. 17.4 - In problems 54-56, suppose the annual salaries of...Ch. 17.4 - Prob. 56PSCh. 17.4 - Prob. 57PSCh. 17.4 - An elderly rancher died and left her estate to her...Ch. 17.4 - Prob. 59PSCh. 17.4 - Prob. 60PSCh. 17.CR - Prob. 1CRCh. 17.CR - Prob. 2CRCh. 17.CR - Prob. 3CRCh. 17.CR - Prob. 4CRCh. 17.CR - Prob. 5CRCh. 17.CR - Prob. 6CRCh. 17.CR - Prob. 7CRCh. 17.CR - Prob. 8CRCh. 17.CR - Prob. 9CRCh. 17.CR - Prob. 10CRCh. 17.CR - Prob. 11CRCh. 17.CR - Prob. 12CRCh. 17.CR - Chemistry is taught at five high schools in the...Ch. 17.CR - Prob. 14CRCh. 17.CR - Prob. 15CRCh. 17.CR - Prob. 16CRCh. 17.CR - Prob. 17CRCh. 17.CR - Prob. 18CRCh. 17.CR - Prob. 19CRCh. 17.CR - Prob. 20CR
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- The first six problems relate to the results of apportioning seats to states according to different methods. In the nation of Gulfiana, the Legislature offers 27 seats, to be apportioned according to each state's population. State Population Alassippi 16,600 Florgia 8,381 Louisiansas 5,885 Kennessee 1,950 To answer the next six problems, it is recommended you determine the apportionment of the Legislature according to Jefferson's Method, Adams' Method, and Webster's Method. Helpful Nudge: To cut down on trial-and-error, consider the following list of numbers. This list includes appropriate modified divisors for each of these methods. 1085 1150 1215 1250 1325 How many seats does Florgia get according to the Adams apportionment?arrow_forwardA 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 Hospital Number of Beds Sharp 242 Palomar 356 Tri - City 308 Del Raye 190 Rancho Verde 275 Bel Aire 410 1. Use Adam's Method to determine the number of nurses to be apportioned to each hospital. 2. Use Huntington -Hill to determine the number of nurses to be apportioned to each hospital. 3. Use Hamilton's Method to determine the number of nurses to be apportioned to each hospital.arrow_forwardQuestions:1. Use Hamilton's method to apportion the 135 council members 2. Use Jefferson's method to apportion the 135 council members 3.arrow_forward
- QUESTION 1 An organization has four departments: A with 680 employees, B with 830 employees, C with 1,020, and D with 1,400 employees. Suppose that it has membership on the council proportional to the number of employees in the four departments. Apportion 12 representative seats to these four departments. Assign the seats using the Hamilton apportionment method. A gets seats. B gets seats. C gets seats. D gets seatsarrow_forwardSuppose that a small country with a population of 2,800,000 that consists of four states, A, B, C, and D. There are 140 seats in the legislature that need to be apportioned among the four states. The population of each state is shown in the table. Use the table to answer parts (a) and (b). State A B C D Total Population 488,000 1,096,000 343,000 873,000 2,800,000 a) Determine the standard divisor. The standard divisor is ?. (Simplify your answer.)arrow_forwardA small country is made up of three separate islands: Eno, with a population of 100,300, Owt, with a population of 9,405, and Eerht with a population of 90,295. The country has a senate with 200 members whose seats are apportioned proportional to the population of each island. a. Use Hamilton's method to apportion the 200 seats. b. The senate decides to add another seat so that they have an odd number of senators. Use Hamilton's method to apportion the 201 seats. c. Compare your results from parts (a) and (b). This is an example of which paradox?arrow_forward
- Consider the apportionment problem for College Town. North : 5,500 , South : 4,500 , East : 7,600, West : 7,400 Suppose each council member is to represent approximately 2,100 citizens. Use Jefferson's plan assuming there must be 10 representatives.arrow_forwardA new overhead projector is to be purchased for one of the divisions. If Huntington-Hill's plan is to be used, which division will the new overhead projector be assigned using the apportionment principle?arrow_forwardThe acreage of five county parks in Hillsborough County is shown in the following table. Suppose the county wishes to distribute 75 new park rangers among these five parks. 600 E. G. Simmons 470 Lettuce Lake 240 Lithia Springs 160 Eureka Springs 30 Lake Park (a) Find the modified quota for each park using the divisor 20.5. (Round your answers to two decimal places.) Lake Park E. G. Simmons Lettuce Lake Lithia Springs Eureka Springs (b) Find the numbers of rangers that should be allocated to each park using Adams' method. Lake Park rangers rangers rangers rangers rangers E. G. Simmons Lettuce Lake Lithia Springs Eureka Springsarrow_forward
- A school district has two high schools: Lowell, serving 1715 students, and Fairview,serving 7364. The district could only afford to hire 13 guidance counselors.a. Determine how many counselors should be assigned to each school using Hamilton'smethod.b. The following year, the district expands to include a third school, serving 2989students. Based on the divisor from above, how many additional counselors shouldbe hired for the new school?c. After hiring that many new counselors, the district recalculates the reapportion usingHamilton's method. Determine the outcome.d. Does this situation illustrate any apportionment issues?arrow_forwardThe Unified Labor Council has 11 members representing the carpenters’, electricians’, plumbers’, andpainters’ unions. The four trades are represented on the council in proportion to the size of theirmembership. Suppose that there are 84 carpenters, 48 electricians, 40 pumbers, and 28 painters. How many representatives from each trade should sit on the council if we use the Huntington-Hill method?arrow_forwardA university is comprised of five schools: A, B, C, D, and E. The enrollment in each school is given in the following table. School A B C D E Enrollment 1160 1280 2150 2910 2970 There are 300 new computers to be apportioned among the five schools according to their respective enrollments. Use Hamilton's method to find each school's apportionment of computers. Complete the table below. School A B C D E Enrollment 1160 1280 2150 2910 2970 Hamilton's apportionment enter your response here enter your response here enter your response here enter your response here enter your response herearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
Discrete Mathematics and Its Applications ( 8th I...
Math
ISBN:9781259676512
Author:Kenneth H Rosen
Publisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...
Math
ISBN:9780134392790
Author:Beckmann, Sybilla
Publisher:PEARSON
Thinking Mathematically (7th Edition)
Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON
Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Graph Theory: Euler Paths and Euler Circuits; Author: Mathispower4u;https://www.youtube.com/watch?v=5M-m62qTR-s;License: Standard YouTube License, CC-BY
WALK,TRIAL,CIRCUIT,PATH,CYCLE IN GRAPH THEORY; Author: DIVVELA SRINIVASA RAO;https://www.youtube.com/watch?v=iYVltZtnAik;License: Standard YouTube License, CC-BY