Mathematics: A Practical Odyssey
8th Edition
ISBN: 9781305104174
Author: David B. Johnson, Thomas A. Mowry
Publisher: Cengage Learning
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Chapter 6.CR, Problem 4CR
To determine
To apportion:
The legislative seats by Jefferson’s method.
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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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- Find the required means. Insert five arithmetic means between 5and15.arrow_forwardA political scientist surveys 24 of the current 138 representatives in a state's congress.arrow_forwardAssume that 9595 likely voters are asked their views: 4545 favor raising the gas tax, 4848 favor additional highway spending, and 2121 favor both. How many of these voters favor neither the gas tax increase nor additional highway spending?arrow_forward
- There are 3 states and 20 seats. In 20 years, the number of seats was increased to 21. Suppose the years are 2000 and 2020. 1.) Complete the table using Hamilton's method to apportion the 20 seats for the populations after 2000 and the 21 seats after 2020. 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. Fill in every cell. 20 seats 21 seats State Population 2000 Standard Initial Final Standard Initial Final Quotas Quotas Quotas Quotas Quotas Quotas 5,222 9,677 15,821 30,720 А B C Total 2.) What are the two divisors? Enter your answer in the space provided below. Divisor for 20 seats: Divisor for 21 seats:arrow_forwardThere are 3 states and 20 seats. In 20 years, the number of seats was increased to 21. Suppose the years are 2000 and 2020. 1.) Complete the table using Hamilton's method to apportion the 20 seats for the populations after 2000 and the 21 seats after 2020. 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. Fill in every cell. 20 seats 21 seats Population 2000 State Standard Initial Final Standard Initial Final Quotas Quotas Quotas Quotas Quotas Quotas A 5,222 9,677 15,821 30,720 B Total 2.) What are the two divisors? Enter your answer in the space provided below. Divisor for 20 seats: Divisor for 21 seats: 3.) Did an Alabama paradox occur? Explain your answer. Write your response below:arrow_forwardThe Republic of Amador is composed of five states, A, B, C, D, and E. According to the country's constitution, the Congress will have 200 seats, divided among the five states according to their respective populations. A BCD E State Population |(in thousands) 1112 1118 1320 1515 4935 Use Hamilton's method to apportion the 200 congressional seats for state B and C. Quota for state B Quota for State C =arrow_forward
- 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 95arrow_forward2. Suppose the hospital buys 75 new intravenous (IV) pumps to be distributed among the five units on the basis of the number of patients in each unit. Use the Hamilton method to fill in the blanks in the table below and apportion the 75 IV units. UNIT PATIENTS SQ ROUNDED ACTUAL DOWN NUMBER | MEDICAL SURGICAL 15 30 CARDIAC 12 TRANSITIONAL 8 PROGRESSIVE 25 TOTAL 90arrow_forwardDivide 3- to 4- digit numbers by 1- to 2- digit numbers without and with remainder by using partial division, multiplication, subtraction, and addition to get the quotient. SITUATION: Your barangay chairman wanted you to distribute equal relief goods to households in your sitio barangay after the typhoon Bosyong. GOAL: You will be presenting your clear and specific computation to the barangay chairman and other officials involved in your barangay for record purposes. ROLE: You are the leader in your Sitio barangay. PRODUCT: You need to divide the total number of relief goods to the number of households that are living in your Sitio barangay. Each household must have the same number and kind of relief goods. In your worksheet, show clear and complete computation of how the relief goods will be divided. There are 18 households, 108 sardines and 126 noodles. STANDARDS & CRITERIA FOR SUCCESS Your worksheet should: • Show clear and complete computation of the given problem • Follow steps in…arrow_forward
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