EBK MATHEMATICS: A PRACTICAL ODYSSEY
8th Edition
ISBN: 9781305464858
Author: MOWRY
Publisher: CENGAGE LEARNING - CONSIGNMENT
expand_more
expand_more
format_list_bulleted
Question
Chapter 6.2, Problem 32E
To determine
To find:
The apportion of the bureau seats by using Hill-Huntington Method.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
9. A grant and a newly passed levy will allow a county to buy 13 new fire trucks for its fire
precincts. The new trucks are going to be allotted to the precincts based on the number of
times each precinct had to respond to calls in the last six months. Use the Hamilton
Apportionment Plan and the table below to determine the number of fire trucks each
precinct will receive.
District Number of Calls
D-1 45
D-2-1 73
D-2-2 100
D-3 67
D-4-1 179
D-4-2 95
1. World's Richest. Each year, Forbes magazine publishes a list of the world's richest people. In
2009, the six richest people, their citizenship, and their wealth (to the nearest billion dollars)
Wealth ($ billion)
Citizenship
United States
Name
Willlam Gate (G)
Warren Buffett (B)
Carlos Slim Helu (H)
40
United States
38
Мexico
35
United States
Lawrence Ellison (E)
Karl Albrecht (A)
23
Sweden
22
Ingvar Kamprad (K)
Germany
22
a. Calculate the mean wealth, µ, of the six people.
For samples of size 2, construct a table and calculate the means for samples of size 2.
c. For a random sample of size 2, what is the chance that the sample mean will equal the
population mean?
d. For a random sample of size 2, determine the probability that the mean wealth of the two
people obtained will be within 2 (i.e., $2 billion) of the population mean. Interpret your result in
terms of percentages.
b.
1. World's Richest. Each year,
Forbes magazine publishes a list of the world's richest people. In
2009, the six richest people, their citizenship, and their wealth (to the nearest billion dollars)
Name
Citizenship
Wealth ($ billion)
Willlam Gate (G)
Warren Buffett (B)
Carlos Slim Helu (H)
Lawrence Ellison (E)
Karl Albrecht (A)
United States
40
United States
38
Мexico
35
United States
23
Sweden
22
Ingvar Kamprad (K)
Germany
22
Calculate the mean wealth, µ, of the six people.
а.
b.
For samples of size 2, construct a table and calculate the means for samples of size 2.
С.
For a random sample of size 2, what is the chance that the sample mean will equal the
population mean?
d. For a random sample of size 2, determine the probability that the mean wealth of the two
people obtained will be within 2 (i.e., $2 billion) of the population mean. Interpret your result in
terms of percentages.
Chapter 6 Solutions
EBK 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, algebra and related others by exploring similar questions and additional content below.Similar questions
- Answer b. Use the Jefferson method pls.arrow_forwardA small country is comprised of four states, A, B, C, and D. The population of each state is given in the following table. State A В Total 108,000 186,000 294,000 342,000 930,000 Population Standard quota 3.6 6.2 9.8 11.4 According to the country's constitution, the congress will have 31 seats, divided among the four states according to their respective populations. Determine each state's apportionment using Hamilton's method where the standard divisor is 30. ... Complete the table below. C D 108,000 186,000 294,000 342,000 930,000 State A В Total Population Allocated seats 6 31 (Type integers or simplified fractions.)arrow_forwardThe Republic of Tropicana is a small country consisting of five states (A, B, C, D, and E). The total population of Tropicana is 27.4 million. According to the Tropicana constitution, the seats in parliament (i.e. the legislature) are apportioned to the states according to their population. The table below shows each state's standard quota A B C D E Standard Quota 41.2 31.9 24.8 22.6 16.5 (a) Find the number of seats in the Tropicana Legislature: Answer (b) Find the standard divisor: Answer (c) Find the population of each state and fill in the table below. (Hint: Write the equation for the standard divisor. Can you use it to find populations?) A B C D E Population Answer Answer Answer Answer Answer (d) Find the apportionment under Adam's method of the republic of Tropicana parliament (i.e. legislature). (Hint: Look for suitable divisors in the interval 205,000 to 206,000.) A gets Answer seats, B…arrow_forward
- Suppose that the governors of three midwestern region states have agreed to form an interstate bureau to foster historical awareness, tourism, and commerce. The bureau will have ten seats, and the populations of the states are given in the figure shown below. Use Hamilton's Method to apportion the bureau seats. State A B C Population 9,938,480 5,363,704 4,819,485 Seatsarrow_forwardc) 7,900 customers came to QMH Inspires Collections store in December 2016. A record on the purchases of brands of kitchenware from their customers was given as follows: 1,750 customers bought Portmeirion and Le Creuset 1,300 customers bought Portmeirion and Tefal 770 customers bought Le Creuset and Tefal 2,200 customers bought Portmeirion only 470 customers bought Le Creuset only 560 customers did not buy any kitchenware. The number of customers buying Tefal only is four times the number of customers who buy all three kitchenware. i) Express the information given above in a single Venn diagram. ii) Find the number of customers who bought Tefal only. iii) Find the number of customers who bought only one brand of kitchenware. (8 marks)arrow_forward18. A rapid transit service operates 200 buses along six routes, A, B, C, D, E, and F. The number of buses assigned to each route is based on the average number of daily passages per route. Use Hamilton's method to apportion the buses. Route A C E F Total Passengers 4360 5130 7080 10,245 15,535 22,650 65,000 total population Standard Divisor= number of allocated items population of a particular group Standard Quota= standard divisor Route Passe S. Deci Surpl Final mal Appo rtion ngers Quot Quot Us Part Bus ment 4360 B 5130 7080 10,245 15,535 F 22,650 Total 65,000 L.arrow_forward
- A small country is comprised of four states, A, B, C, and D. The population of each state is given in the following table. State A B Total 144,000 208,000 432,000 496,000 1,280,000 3.6 5.2 10.8 12.4 Population Standard quota According to the country's constitution, the congress will have 32 seats, divided among the four states according to their respective populations. Determine each state's apportionment using Hamilton's method where the standard divisor is 40. Complete the table below. State Population Allocated seats B D 144,000 208,000| 432,000 496,000 5 (Type integers or simplified fractions.) Total 1,280,000 32 Elearrow_forwardTwo nurses at Northwood Hospital’s Cardiac Care Unit are assigned to care for eight patients. Nurses are responsible for administering medication, taking vital signs, and responding to frequent calls for assistance that can come either from the patient, or the equipment monitoring the patient’s current condition. On an average, each patientrequires attention three times each hour. Nurses average 6 minutes per patient visit.a. What is the average utilization of the nursing staff?b. On an average, how many patients are waiting for a nurse?c. By how much would adding a third nurse reduce the patient waiting time?arrow_forward2. The acreage of five county parks in Hillsborough County is shown in the table below. Suppose the county wishes to distribute 75 new park rangers among these five parks. Lake Park E. G. Simmons Lettuce Lake Lithia Springs Eureka Springs 600 470 240 160 30 a. Find the modified quota for each park using the divisor 20.5 b. Find the number of rangers that should be allocated to each park using Adam's method.arrow_forward
- 3. Three colleges in the same region, colleges A, B, and C, decide to form a 10-member committee of students representing the three colleges. It is decided that representation will be proportional to the number of students in each college in such a way that each college will have at least one representative. College A has 1,455 students; College B has 1,683 students; and College C has 2,706 students. a. Find the standard divisor and each college's standard quota. b. Use Hamilton's method to apportion the number of committee members to each college. c. Use Lowndes' method to apportion the number of committee members to each college. d. Which of the two methods would the students of College A prefer? Explain your answer. e. If we use the Huntington-Hill method with a modified divisor of 750, how many members would each college have? f. Is 750 a correct choice of modified divisor to apportion the 10 committee positions using the Huntington-Hill method?arrow_forward3. Using Jefferson plan method (JP), What leisure activities do you participate in? In the table below are five activities and the approximate number of participants (in millions) in each. EXERCISE SPORTS CHARITY WORK 150 90 85 HOME REPAIR COMPUTER 130 80 PARTS Suppose you wish to allocate $100 million to pro- mote leisure activities on the basis of the number of participants. A) Find the modified quota for each activity using the divisor 5.25. B) Find how much money should be apportioned to each activity using Jefferson's method.arrow_forwardII. With 75 representatives. Use the Jefferson's method to determine the number of representatives each county should have. (20PTS) COUNTY Bristol Kent Newport Providence Washington POPULATION 49,875 166,158 82,888 626,667 126,979arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
Minimum cuts and maximum flow rate; Author: Juddy Productions;https://www.youtube.com/watch?v=ylxhl1ipWss;License: Standard YouTube License, CC-BY