Mathematics: A Practical Odyssey
8th Edition
ISBN: 9781305104174
Author: David B. Johnson, Thomas A. Mowry
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 6.2, Problem 59E
To determine
To find:
The method of apportionment of the House of Representatives is currently being used.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The number of houses of representatives is determined by the population of a state. The current
number of representatives of New Jersey is 12 while the number of representatives of
Pennsylvania is 18. Do some research and show your detailed work why these two numbers
come up. Your report needs to cover the apportionment method it uses and mathematical
calculations it performs.
If after apportionment, the total seats apportioned exceeds the total possible apportionment, What must be
done to the standard divisor to lower the seats apportioned?
It should not be changed.
O It cannot be determined.
O It must be decreased.
O It must be increased.
Now the city expands to cover a new district called district C. As a result, the city hires
10 new police officers to cover the new district. This brings the total number of officers
to 50. The total population of the city is shown in the table. Complete the table using
Hamilton's method to apportion the police offices for the populations after 2000. Round
all standard quotas and the divisor to 7 decimal places if needed. You can use a
spreadsheet to help you figure out an answer or calculate using a calculator.
Find the divisor. Enter your answer in the space provided below.
Divisor:
Population
2000
Initial Quotas
Final Quotas
State
Standard
Quotas
А
6,550
11,520
4,698
22,768
B
C
Total
21.)
7.) Did a new state paradox occur? Explain your answer.
Write your response below:
Chapter 6 Solutions
Mathematics: A Practical Odyssey
Ch. 6.1 - Four candidates, Alliotti, Baker, Cruz, and Daud,...Ch. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 - Number of Ballots Cast 6 8 7 10 15 1st choice C C...Ch. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
Ch. 6.1 - Prob. 11ECh. 6.1 - Four candidates, Harrison H, Lennon L, McCartney...Ch. 6.1 - Prob. 13ECh. 6.1 - Five candidates, Fino F, Gempler G, Holloway H,...Ch. 6.1 - Prob. 15ECh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - In an election, there are seven candidates. a....Ch. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - Prob. 25ECh. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - What is Arrows Impossibility Theorem?Ch. 6.2 - A small country consists of three states, A, B and...Ch. 6.2 - A small country consists of three states, A, B and...Ch. 6.2 - Suppose that the governors of three Middle...Ch. 6.2 - Suppose that the governors of three midwestern...Ch. 6.2 - Prob. 5ECh. 6.2 - Prob. 6ECh. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.2 - A local school district contains four middle...Ch. 6.2 - A local school district contains four elementary...Ch. 6.2 - Prob. 11ECh. 6.2 - In J.R.R. Tolkiens Middle Earth, the regions in...Ch. 6.2 - Prob. 13ECh. 6.2 - Prob. 14ECh. 6.2 - Prob. 15ECh. 6.2 - Prob. 16ECh. 6.2 - Prob. 17ECh. 6.2 - Prob. 18ECh. 6.2 - Prob. 19ECh. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - Prob. 22ECh. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Prob. 29ECh. 6.2 - Prob. 30ECh. 6.2 - Prob. 31ECh. 6.2 - Prob. 32ECh. 6.2 - Use the Hill-Huntington Method to determine how...Ch. 6.2 - Prob. 34ECh. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Prob. 37ECh. 6.2 - Prob. 38ECh. 6.2 - Prob. 39ECh. 6.2 - Prob. 40ECh. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 6.2 - Prob. 43ECh. 6.2 - Prob. 44ECh. 6.2 - Prob. 45ECh. 6.2 - Prob. 46ECh. 6.2 - Prob. 47ECh. 6.2 - Prob. 48ECh. 6.2 - What is apportionment?Ch. 6.2 - Prob. 50ECh. 6.2 - Prob. 51ECh. 6.2 - Prob. 52ECh. 6.2 - Prob. 53ECh. 6.2 - Prob. 54ECh. 6.2 - Prob. 55ECh. 6.2 - Prob. 56ECh. 6.2 - Prob. 57ECh. 6.2 - Since the founding of the United States, what...Ch. 6.2 - Prob. 59ECh. 6.2 - Prob. 60ECh. 6.3 - A small country consists of three states: A, B,...Ch. 6.3 - Prob. 2ECh. 6.3 - Prob. 3ECh. 6.3 - Prob. 4ECh. 6.3 - A small country consists of four states: A, B, C,...Ch. 6.3 - Prob. 6ECh. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.3 - Prob. 9ECh. 6.3 - Prob. 10ECh. 6.3 - A small country consists of three states:A, B, and...Ch. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - What is the Alabama Paradox? Explain its meaning.Ch. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.CR - Prob. 1CRCh. 6.CR - Prob. 2CRCh. 6.CR - Prob. 3CRCh. 6.CR - Prob. 4CRCh. 6.CR - Prob. 5CRCh. 6.CR - Prob. 6CRCh. 6.CR - Prob. 7CRCh. 6.CR - Prob. 8CRCh. 6.CR - Prob. 9CRCh. 6.CR - Prob. 10CRCh. 6.CR - Prob. 11CRCh. 6.CR - Prob. 12CRCh. 6.CR - Prob. 13CRCh. 6.CR - Prob. 14CRCh. 6.CR - Prob. 15CRCh. 6.CR - Prob. 16CRCh. 6.CR - Prob. 17CRCh. 6.CR - A small country consists of three states: A, B,...Ch. 6.CR - Prob. 19CRCh. 6.CR - Prob. 20CRCh. 6.CR - Prob. 21CRCh. 6.CR - Prob. 22CRCh. 6.CR - Prob. 23CRCh. 6.CR - Prob. 24CRCh. 6.CR - Prob. 25CRCh. 6.CR - Prob. 26CRCh. 6.CR - Prob. 27CRCh. 6.CR - Prob. 28CRCh. 6.CR - What is the New States Paradox? Explain its...Ch. 6.CR - Prob. 30CRCh. 6.CR - Prob. 31CRCh. 6.CR - Prob. 32CRCh. 6.CR - Prob. 33CRCh. 6.CR - Prob. 34CRCh. 6.CR - What method of appointment for the House of...
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
- Evaluatearrow_forwardHi! I need your help in answering this item. Please use the proper method indicated. Thank you very much!arrow_forwardIn the 2010 census, the population of state A in thousands was 4,753, State B was 2,998, and State C was 4,526. Apportion 18 representative seats to these three states. Assign the seats using the Hamilton apportionment method. The representation includes members from State A.arrow_forward
- A political scientist surveys 24 of the current 138 representatives in a state's congress.arrow_forwardThe board of directors of a corporation comprises 9 members. An executive board, formed by 4 directors, needs to be elected. How many possible ways are there to form the executive board?arrow_forwardThe following table shows the number of fifth and sixth grade teachers in a school district and the number of students in each of those grades. The number of teachers for each of the grade levels was determined by using the Huntington-Hill apportionment method. The district has decided to hire a new teacher for either the fifth or sixth grade. Fifth grade Sixth grade Number of teachers 21 22 Number of students 649 730 (a) Use the apportionment principle to determine to which grade the new teacher should be assigned. O fifth grade O sixth grade (b) Use the Huntington-Hill apportionment principle to determine to which grade the new teacher should be assigned. O fifth grade O sixth grade How does this result compare with the result in part (a)? O same result O different resultarrow_forward
- Consider a fictional country with a population of 430,665 that is divided into 5 provinces, as shown in the table below. The country's constitution provides for 13 representatives to the lower house of the legislature. These representatives are allocated on the basis of province population. Use the Jefferson Apportionment Plan to find the number of representatives for each province by completing the table. Use modified standard divisor 30,000. Round values in the Quotient column to the nearest hundredth. Province Population Quotient Number of Representatives Kennebec 61,229 South Bay 38,832 North Island 94,721 Lakeland 167,386 Montbleu 68,497arrow_forwardA small country consists of four states, whose populations are listed below. If thelegislature has 116 seats, apportion the seats using Hamilton’s method. Does thisillustrate any apportionment issues?A: 33,700 B: 559,500 C: 141,300 D: 89,100arrow_forwardJefferson's method, Webster's method, and Adams's method require using a _______ quota. arrow_forward
- CHAPTER 2 Apportionment: Shan 11. Hawaii's House of Representatives has 51 members. Suppose they are appor- tioned among the five counties in Hawaii based on the 2010 census data shown in the table. Perform the apportionment using (a) Jefferson's method, (c) Hamilton's method, (e) Which method(s) seems to help the large Honolulu County the most? (f) Which method(s) seems to help the small Kalawao County the most? (b) Webster's method, (d) Lowndes' method. Kalawao Kauai Maui Hawaii 185,079 Source: U.S. Census Bureau. Honolulu 953,207 County Population 67,091 154,834 90 mang ite threearrow_forwardThe table shows the county's populations after a 2020 census. Complete the table using Hamilton's method to apportion the 30 seats for the populations after 2000. Round all standard quotas and the divisor to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Find the divisor. Enter your answer in the space provided below. Divisor: State Population Standard Initial Quotas Final Quotas 2000 Quotas 43,913 72,543 168,244 284,700 А B C Totalarrow_forwardDunder Mifflin Inc., a paper company, must appoint a District Manager, RegionalManager, and Assistant (to the) Regional Manager. They also need to appoint a Party Planning Committee consisting of 3 members. There are 18 qualified candidates. Note: The members elected for the positions can also serve on the committee. A) In how many different ways can the Party Planning Committee befilled? B) In how many different ways can the managerial positions be filled?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Propositional Logic, Propositional Variables & Compound Propositions; Author: Neso Academy;https://www.youtube.com/watch?v=Ib5njCwNMdk;License: Standard YouTube License, CC-BY
Propositional Logic - Discrete math; Author: Charles Edeki - Math Computer Science Programming;https://www.youtube.com/watch?v=rL_8y2v1Guw;License: Standard YouTube License, CC-BY
DM-12-Propositional Logic-Basics; Author: GATEBOOK VIDEO LECTURES;https://www.youtube.com/watch?v=pzUBrJLIESU;License: Standard Youtube License
Lecture 1 - Propositional Logic; Author: nptelhrd;https://www.youtube.com/watch?v=xlUFkMKSB3Y;License: Standard YouTube License, CC-BY
MFCS unit-1 || Part:1 || JNTU || Well formed formula || propositional calculus || truth tables; Author: Learn with Smily;https://www.youtube.com/watch?v=XV15Q4mCcHc;License: Standard YouTube License, CC-BY