MATH IN OUR WORLD (LOOSELEAF)-W/ACCESS
3rd Edition
ISBN: 9781259969690
Author: sobecki
Publisher: MCG
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Textbook Question
Chapter 12.4, Problem 4E
Describe how to find the upper and lower quotas from a standard quota.
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There are 435 seats in the U.S. House of Representatives. According to the 2010 U.S. Census, 8.14% of the U.S. population lived in Texas. Compute Texas's standard quota in 2010 (rounded to two decimal places).
Texas's standard quota in 2010 was Answer
Of the 15 states in the Union when the issue of apportionment for the House of Representatives was first taken up in 1794, let's consider Kentucky, which had a population of 72677, and New Jersey, which had a population of 184139. The total population as of the 1790 census was 3893874 individuals, and the size of the House of Representatives was 105.
(a) What was the standard quota for Kentucky? Include at least three decimal places of accuracy. Standard quota:
(b) What was the standard quota for New Jersey? Include at least three decimal places of accuracy. Standard quota:
(c) What is the standard divisor for this apportionment exercise? Include at least one decimal place.Standard divisor:
Correct Suppose a software company wants to form a new 36-person committee for a new project. There are 136 employees in the sales department, 103 employees in the development department, and 174 in the design department. Use the Huntington-Hill method to determine the allocation of committee members based on department size.
Chapter 12 Solutions
MATH IN OUR WORLD (LOOSELEAF)-W/ACCESS
Ch. 12.1 - The Student Activities Committee at Camden College...Ch. 12.1 - An election was held for the chairperson of the...Ch. 12.1 - Prob. 3TTOCh. 12.1 - Prob. 4TTOCh. 12.1 - Prob. 1ECh. 12.1 - Prob. 2ECh. 12.1 - Prob. 3ECh. 12.1 - Explain the head-to head comparison criterion.Ch. 12.1 - 5. What is a fairness criterion for an election?
Ch. 12.1 - Prob. 6E
Ch. 12.1 - Prob. 7ECh. 12.1 - Prob. 8ECh. 12.1 - Prob. 9ECh. 12.1 - Prob. 10ECh. 12.1 - Prob. 11ECh. 12.1 - Prob. 12ECh. 12.1 - Prob. 13ECh. 12.1 - Prob. 14ECh. 12.1 - Prob. 15ECh. 12.1 - For Exercises 15–18, rewrite the preference table...Ch. 12.1 - Prob. 17ECh. 12.1 - Prob. 18ECh. 12.1 - Using the election results given in Exercise 9,...Ch. 12.1 - 20. Using the election results given in Exercise...Ch. 12.1 - Prob. 21ECh. 12.1 - Prob. 22ECh. 12.1 - Using the Internet as a resource, look up the...Ch. 12.1 - Suppose that an election has seven candidates, and...Ch. 12.1 - Prob. 25ECh. 12.1 - Prob. 26ECh. 12.1 - Prob. 27ECh. 12.1 - Prob. 28ECh. 12.1 - Prob. 29ECh. 12.1 - Prob. 30ECh. 12.1 - Prob. 31ECh. 12.1 - Prob. 32ECh. 12.2 - Prob. 1TTOCh. 12.2 - Prob. 2TTOCh. 12.2 - Prob. 3TTOCh. 12.2 - If the one voter who listed softball last in the...Ch. 12.2 - Prob. 1ECh. 12.2 - Prob. 2ECh. 12.2 - Prob. 3ECh. 12.2 - Prob. 4ECh. 12.2 - Prob. 5ECh. 12.2 - Can a candidate that gets the least first-place...Ch. 12.2 - A gaming club holds a vote to decide what type of...Ch. 12.2 - The McKees Point Yacht Club Board of Directors...Ch. 12.2 - Prob. 9ECh. 12.2 - A local police union is holding an election for a...Ch. 12.2 - Students at a college were asked to rank three...Ch. 12.2 - Prob. 12ECh. 12.2 - Prob. 13ECh. 12.2 - Prob. 14ECh. 12.2 - Prob. 15ECh. 12.2 - Prob. 16ECh. 12.2 - Prob. 17ECh. 12.2 - Does the election in Exercise 12 violate the...Ch. 12.2 - An English department is voting for a new...Ch. 12.2 - The Association of Self-Employed Working Persons...Ch. 12.2 - Prob. 21ECh. 12.2 - Prob. 22ECh. 12.2 - Suppose that all 4 voters from the last column of...Ch. 12.2 - Suppose that 2 of the 4 voters from the second...Ch. 12.2 - If 2 of the voters from column 1 in Exercise 21...Ch. 12.2 - If the 3 voters in column 4 in Exercise 22 change...Ch. 12.2 - Construct a preference table for an election...Ch. 12.2 - Construct a preference table for an election...Ch. 12.2 - Construct a preference table for an election so...Ch. 12.2 - If the candidates on a preference ballot are...Ch. 12.2 - If the candidates on a preference ballot are...Ch. 12.2 - In an election with four candidates, how many...Ch. 12.2 - Based on your answers to Exercise 32, explain why...Ch. 12.2 - One way to avoid the issue described in Exercises...Ch. 12.2 - Lets talk about a modified Borda count method....Ch. 12.3 - Prob. 1TTOCh. 12.3 - Prob. 2TTOCh. 12.3 - Does the election in Try This One 2 violate the...Ch. 12.3 - Prob. 4TTOCh. 12.3 - Explain how to determine the winner of an election...Ch. 12.3 - Prob. 2ECh. 12.3 - Describe Arrows impossibility theorem. How is it...Ch. 12.3 - Prob. 4ECh. 12.3 - Prob. 5ECh. 12.3 - Which of the five voting methods we studied do you...Ch. 12.3 - If all of the voters in an approval voting...Ch. 12.3 - Fill in the table below, which summarizes our five...Ch. 12.3 - Prob. 9ECh. 12.3 - Prob. 10ECh. 12.3 - Prob. 11ECh. 12.3 - Prob. 12ECh. 12.3 - Prob. 13ECh. 12.3 - Prob. 14ECh. 12.3 - Prob. 15ECh. 12.3 - Prob. 16ECh. 12.3 - The McKees Point Yacht Club Board of Directors...Ch. 12.3 - The students in Dr. Lees math class are asked to...Ch. 12.3 - If Professor Donovan was unable to serve as...Ch. 12.3 - If the travel company from Exercise 14 loses its...Ch. 12.3 - If the West Oak Golf Club is unavailable and the...Ch. 12.3 - If a room for Dr. Lees final exam was not...Ch. 12.3 - A sports committee of students needs to choose a...Ch. 12.3 - Prob. 24ECh. 12.3 - Prob. 25ECh. 12.3 - Prob. 26ECh. 12.3 - Prob. 27ECh. 12.3 - Prob. 28ECh. 12.3 - Prob. 29ECh. 12.3 - Construct a preference table so that one candidate...Ch. 12.3 - Prob. 31ECh. 12.3 - Prob. 32ECh. 12.3 - Prob. 33ECh. 12.3 - Evaluate each voting method we studied if there...Ch. 12.3 - Suppose that in an election for city council,...Ch. 12.3 - Prob. 36ECh. 12.3 - Devise a method for breaking ties when using...Ch. 12.3 - Prob. 38ECh. 12.4 - Prob. 1TTOCh. 12.4 - Prob. 2TTOCh. 12.4 - Prob. 3TTOCh. 12.4 - Prob. 4TTOCh. 12.4 - Prob. 5TTOCh. 12.4 - Assign the 30 seats from Try This One 5 using...Ch. 12.4 - Prob. 7TTOCh. 12.4 - Prob. 8TTOCh. 12.4 - Prob. 1ECh. 12.4 - Prob. 2ECh. 12.4 - Prob. 3ECh. 12.4 - Describe how to find the upper and lower quotas...Ch. 12.4 - Prob. 5ECh. 12.4 - Prob. 6ECh. 12.4 - Prob. 7ECh. 12.4 - Prob. 8ECh. 12.4 - Prob. 9ECh. 12.4 - Prob. 10ECh. 12.4 - In Exercises 912, find the standard divisor for...Ch. 12.4 - Prob. 12ECh. 12.4 - Prob. 13ECh. 12.4 - Prob. 14ECh. 12.4 - Prob. 15ECh. 12.4 - Prob. 16ECh. 12.4 - Prob. 17ECh. 12.4 - Prob. 18ECh. 12.4 - Prob. 19ECh. 12.4 - Prob. 20ECh. 12.4 - Prob. 21ECh. 12.4 - Prob. 22ECh. 12.4 - Prob. 23ECh. 12.4 - Prob. 24ECh. 12.4 - Prob. 25ECh. 12.4 - For Exercises 2628 find: (a)The standard divisor....Ch. 12.4 - Prob. 27ECh. 12.4 - Prob. 28ECh. 12.4 - Prob. 29ECh. 12.4 - Prob. 30ECh. 12.4 - Prob. 31ECh. 12.4 - Prob. 32ECh. 12.4 - Prob. 33ECh. 12.4 - Prob. 34ECh. 12.4 - Prob. 35ECh. 12.4 - Prob. 36ECh. 12.4 - Prob. 37ECh. 12.4 - Prob. 38ECh. 12.4 - Prob. 39ECh. 12.4 - Prob. 40ECh. 12.4 - Prob. 41ECh. 12.4 - Prob. 42ECh. 12.4 - Prob. 43ECh. 12.5 - Prob. 1TTOCh. 12.5 - Try This One 2
A county with three districts has...Ch. 12.5 - Prob. 3TTOCh. 12.5 - Prob. 1ECh. 12.5 - Prob. 2ECh. 12.5 - Prob. 3ECh. 12.5 - Prob. 4ECh. 12.5 - What is the quota rule? Which apportionment...Ch. 12.5 - Prob. 6ECh. 12.5 - Prob. 7ECh. 12.5 - Prob. 8ECh. 12.5 - Prob. 9ECh. 12.5 - Prob. 10ECh. 12.5 - Prob. 11ECh. 12.5 - Prob. 12ECh. 12.5 - The table shows the enrollment at two campuses of...Ch. 12.5 - Prob. 14ECh. 12.5 - Prob. 15ECh. 12.5 - Prob. 16ECh. 12.5 - Write an essay explaining why many people feel...Ch. 12.5 - 18. Which do you think is more serious: violating...Ch. 12 - Use this information for Exercises 14: the...Ch. 12 - Use this information for Exercises 14: the...Ch. 12 - Use this information for Exercises 14: the...Ch. 12 - Prob. 4RECh. 12 - Prob. 5RECh. 12 - Prob. 6RECh. 12 - Prob. 7RECh. 12 - Prob. 8RECh. 12 - Prob. 9RECh. 12 - Prob. 10RECh. 12 - Prob. 11RECh. 12 - Prob. 12RECh. 12 - Prob. 13RECh. 12 - Prob. 14RECh. 12 - Use this information for Exercises 917: a large...Ch. 12 - Prob. 16RECh. 12 - Use this information for Exercises 917: a large...Ch. 12 - Prob. 18RECh. 12 - Prob. 19RECh. 12 - Prob. 20RECh. 12 - Prob. 21RECh. 12 - Prob. 22RECh. 12 - Prob. 23RECh. 12 - Prob. 24RECh. 12 - Prob. 25RECh. 12 - Prob. 26RECh. 12 - Prob. 27RECh. 12 - Prob. 28RECh. 12 - Prob. 29RECh. 12 - A community college bought 15 laptop computers to...Ch. 12 - Prob. 31RECh. 12 - Prob. 32RECh. 12 - Prob. 33RECh. 12 - Prob. 34RECh. 12 - Prob. 35RECh. 12 - Repeat exercise 30 using the Huntington-Hill...Ch. 12 - Prob. 37RECh. 12 - Prob. 38RECh. 12 - Prob. 39RECh. 12 - Prob. 40RECh. 12 - Prob. 41RECh. 12 - Prob. 42RECh. 12 - Prob. 43RECh. 12 - Prob. 1CTCh. 12 - Prob. 2CTCh. 12 - Prob. 3CTCh. 12 - Prob. 4CTCh. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - Prob. 7CTCh. 12 - Prob. 8CTCh. 12 - Use this information for Exercises 512: a small...Ch. 12 - Prob. 10CTCh. 12 - Prob. 11CTCh. 12 - Prob. 12CTCh. 12 - Prob. 13CTCh. 12 - An airline offers nonstop flights from Fort...Ch. 12 - Prob. 15CTCh. 12 - Repeat Problem 14 using Websters method.Ch. 12 - Repeat Problem 14 using the Huntington-Hill...Ch. 12 - Prob. 18CTCh. 12 - Prob. 19CTCh. 12 - Prob. 20CTCh. 12 - Prob. 21CT
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- A country consists of 20 states. There are 386 seats in the Congress which are to be apportioned among the 20 states to their respective population. The following table shows the population of the 20 states. Use a spreadsheet program to answer the following questions. Round all standard quotas, modified quotas, and the divisor to 5 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Seats: 386 Hamilton Jefferson's Modified Modified Lower Quotas Disadvantage Jefferson State Population Standard Initial Benefit and Quotas Quota without Quotas decimal A 538,723 61,837 C 346,146 448,119 D E 500,521 F 89,678 G 221,803 H 314,404 I 41,754 J 373,154 K 94,310 399,190 M 297,083 391,098 163,551 218,689 Q 329,896 R 77,150 S 113,753 T 101,301 Total 5,122,220arrow_forwardA country consists of 20 states. There are 522 seats in the Congress which are to be apportioned among the 20 states to their respective population. The following table shows the population of the 20 states. Use a spreadsheet program to answer the following questions. Round all standard quotas, modified quotas, and the divisor to 5 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Stat Populati Standa Adams' Webste Modifi Modifi Adams' Webste Advantage on rd S r's ed ed S r's or e Quotas Rounde Rounde Quotas Quotas Modifi Modifi Disadvant d Up Quotas Quotas Adam Webste Rounde Rounde d for for ed ed age A 413,875 B 500,032 397,004 D 360,874 E 193,993 F 131,279 G 76,121 H 297,022 I 94,239 J 423,566 K 565,883 L 473,525 M 399,170 N 403,576 100,904 P 73,143 Q 360,997 R 410,181 S 456,755 T 139,361 Tota 6,271,50 Seats: 522arrow_forwardOn a 10-member board, Company A (with 850 stockholders) has 3 representatives while Company B(with 1,200 stockholders) has 4 representatives. Calculate the relative unfairness of this apportionment.arrow_forward
- What is the minimum number of DVDs per month a customer would need to rent to get a better deal at Chart-Topper Internet Movie Rentals?arrow_forwardNow 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:arrow_forwardb. Backward divided difference method (please answer)arrow_forward
- A school district school board is dividing between five high schools. The school board can hire 300 teachers. They want to distribute the teachers between the high schools using Jefferson's method of apportionment. Use a spreadsheet to determine: • the standard divisor, • the modified divisor, and • the distribution of teachers to each school. Below you will see the different formulas to use. Start in the cell labeled "Total Teachers". Total Teachers 300 Modify Quota Student Standard High School Lower Quota Modified Lower Quota Population Quota Cherry Creek (CC) Smoky Hill (SH) 3200 =B3/$B$10 =ROUNDDOWN(C3,0) =B3/$B$11 =ROUNDDOWN(E3,0) 2400 Overland (O) 2200 Eagle Crest (EC) 2500 Grandview (G) 3000 Total 13300 =SUM(D3:D7) =SUM(F3:F7) Standard Divisor =B8/B1 Modified Divisor Standard divisor: 44.33 Modified divisor: 44.20 Teachers: CC:72, SH: 54, O: 49, EC:56, G:67 Standard divisor: 44.33 Modified divisor: 44.18 Teachers: CC:72, SH: 54, O: 50, EC:56, G:68 Standard divisor: 44.33…arrow_forward3. Better Business Bureau (BBB) has 680 filed complaints from Kroger customers in the last 3 year. They have 2,806 filed complaints from Walmart customers in the last 3 year. Walmart has over 4 times as many filed complaints. Explain why might this be an unfair comparisonarrow_forward6) V300arrow_forward
- Suppose a nation has 5 states, with populations shown in the chart below. The representative body had 150 seats. Find: the standard divisor, the modified divisor, and the distribution of representatives to each state. Then complete the table. Round all standard and modified quotas to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculatorarrow_forwardPlease use method of undetermined coeficeinets.arrow_forwardWhich one of the apportionment methods studied does not violate the quota rule? Group of answer choices Hamilton's Method Jefferson's Method Adam's Method Webster's Methodarrow_forward
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