Mathematics: A Practical Odyssey
8th Edition
ISBN: 9781305104174
Author: David B. Johnson, Thomas A. Mowry
Publisher: Cengage Learning
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Chapter 6.2, Problem 29E
To determine
To find:
The apportion of the legislative seats by using Hill-Huntington Method.
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8, answer b chart
12. Four academic areas at a college have 500 students and want to form a 25-member
committee apportioned according to the number of students in each area. Complete the
chart to find Hamilton's apportionment.
Academic
Education
Business
Music
Psychology
Area
# of
Students
165
139
67
129
Result of
Division
8.25
6.95
3.35
6.45
Std Quota
8.
Hamilton
2. The Norfolk General Hospital has a nursing staff of 225 nurses working in four shifts: A, B, C, and D. The
number of nurses apportioned to each shift is based on the average number of patients per shift, given in
the following table.
Shift
A
Average number of patients 871
a. Describe the "states" and the "seats" in this apportionment problem.
B
C
1029 610
c. Find the standard quota.
D
190
b. Find the standard divisor. Explain what the standard divisor represents in this specific problem.
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...
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- apportion the twenty seats. 29. A small country has four states: A, B, C, and D. The country has to have 200 seats in its legislature. The current population of each state is given in the following table: State A B C D Population 1,400,000 15,675,000 5,400,000 10,250,000 a. Find the standard divisor and round it off to two decimal places. b. Use the Hamilton's method to apportion the 200 seats. H nities (nonulation in hundredarrow_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 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_forward9. 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 95arrow_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 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_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_forwardA small country is comprised of four states, A, B, C, and D. The population of each state, in thousands, is given in the following table. State A C D Total Population (in thousands) 138 266 534 662 1600 According to the country's constitution, the congress will have 80 seats, divided among the four states according to their respective populations Find state's C standard quota. (Round to one decimal place)arrow_forward
- SC Find the apportionment asked for. Show your work either by hand or Microsoft Excel (attach your work). 9) A small city has 50 police officers to be apportioned among 8 precincts based on the population of each precinct. The populations are given in the following table. Precinct total 25,95 4 6. 7 8 Population 2250 3800 3225 1800 4900 4025 2775 3175 a) Find the apportionment for each state using Hamilton's method. A COnd dour b) Find the apportionment for each state using Jefferson's method. round down to nearest round up nearest in c) Find the apportionment for each state using Webster's method. round UD d) Find the apportionment for each state using Adams' method.arrow_forward8arrow_forwardPlease help with barrow_forward
- 8)-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_forwardplease help me fast....arrow_forward
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