Use Huntington-Hill's method of apportionment to solve the following problems.3. Suppose a nation has 4 states, with populations shown in the chart below. Therepresentative body had 80 seats.a.) Find the standard divisor and the distribution of representatives to each state using theHuntington-Hill method of apportionment. Round the standard quotas to 7 decimal placesif needed. You can use a spreadsheet to help you figure out an answer or calculate using acalculator.RepresentativeSeats80StatePopulationStandardRoundRoundGeometricHuntington-Hill'sQuotasDownUpMeanMethodA200,650324,150C875,400D456,200Total1,856,400StandardDivisor b.) Find the modified divisor and the distribution of representatives to each state using theHuntington-Hill method of apportionment. Round the modified quotas to 7 decimal places ifneeded. You can use a spreadsheet to help you figure out an answer or calculate using acalculator.RepresentativeSeats80StatePopulationModifiedRoundRoundGeometric Huntington-Hill'sMethodQuotasDownUpMeanA200,650В324,150C875,400D456,200Total1,856,400ModifiedDivisor

(a) First, we need to find the standard divisor. Standard divisor = total number of…

Answered: Use Huntington-Hill's method of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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 calculator
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Redistricting and House Elections The 2010 census led to the loss of two house seats in New York and Ohio, the loss of one House seat in Pennsylvania, the gain of two house seats in Florida and the gain of four House seats in Texas. Consider the following approximate vote counts for all House districts in these states in 2010 (before redistricting) and 2012 (after redistricting). All figures are in thousands of votes. Votes for other parties are neglected. a. Find the percentages of votes cast for Republican and Democratic candidates in 2012 and 2012. b. Find the percentages of House seats that were won by republican and democratic candidates in 2010 and 2012. c. Explain whether the distributions of votes reflect the distributions of House seats. d. Discuss whether redistricting based on the 2010 census affected the distributions of votes and representatives. VOTES FOR VOTES FOR DEMOCRATIC REPUBICAN CANDIDATES CANDIDATES REPUBLICAN SEATS (THOUSANDS) (THOUSANDS) 2053 1611 13 2620 2412…
Use Adamss's method of apportionment to solve the following problem. 1. Suppose a nation has 6 states, with populations shown in the chart below. The representative body had 200 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 calculator. Representative Seats 200 Rounded Modified Modified Upper Quotas State Population Standard Quotas Up Quotas Quotas 1,598,400 1,236,300 5,460,200 826,900 965,500 1,112,700 11,200,000 А В C F Total Standard Divisor Modified Divisor
The next three problems are based on the following scenario. A small country with three states (A, B, and C) and a congress of 20 representatives would like todetermine an appropriate apportionment for their congress using Hamilton’s Method of apportionment.The population for each state is given in the table below. State Population A 733 B 351 C 416 The standard quota for State A is Group of answer choices 5.41 20 9.77 4.81
Use Thomas Jefferson's method to solve the following problem. Suppose a legislature in a state has five counties and a representative body with 56 seats. The population for each of the counties are shown below. How many seats should each county get? Use the Jefferson's Method of apportionment and Excel or Google Sheets. Fill in the information below. County Population Standard Lower Modified Modified Quota Quota Quota Lower Quota County 1 County 2 County 3 County 4 County 5 Total 550,000 382,000 120,000 365,000 226,000 Find the standard divisor and modified divisor. Standard divisor = Modified divisor:
A study of crowd-funded projects showed that overall a majority were successful, that is, raised at least the targeted goal amount. In an effort to identify project types that influence success, selected projects were subdivided into project categories (Film & Video, Games, Music, and Technology). Click the icon to view the crowdfunded project data. a. Construct contingency tables based on total percentages, row percentages, and column percentages. Complete the following contingency table based on total percentages. Outcome Not successful 20.88% 8.42% Category Film & Video Successful 18.00 % Games Music 7.17% 13.74 % 19.82 % Technology 4.14% 7.85 % Total 43.04 % 56.96 % (Simplify your answers. Round to two decimal places as needed.) Complete the following contingency table based on row percentages. Outcome Not successful 20.88% % % % Total 38.88 % 15.58 % 33.56 % 11.98 % 100 % Successful % % % Category Film & Video Games Music Technology % Total % % (Simplify your answers. Round to two…
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 Ele
A small country consists of five states. Call these states A, B, C, D, and E. The standard quotas for each state are given in the table below. (a) Find the number of seats being apportioned. (b) Find the geometric mean for State B. (c) Compare the standard quota to the geometric mean for State B. (d) Find the apportionment under the Huntington-Hill rounding rule. State Standard quota C 6.24 11.73 2.69 17.25 25.09
Use Huntington-Hill's method of apportionment to solve the following problems. 3. Suppose a nation has 4 states, with populations shown in the chart below. The representative body had 80 seats. a.) Find the standard divisor and the distribution of representatives to each state using the Huntington-Hill method of apportionment. Round the standard quotas to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Representative Seats State D Total Standard Divisor 80 Population Standard Quotas 100 200.650 324.150 875,400 456,200 1,856,400 Round Down Round Geometric Up Mean Huntington- Hill's Method b.) Find the modified divisor and the distribution of representatives to each state using the Huntington-Hill method of apportionment. Round the modified quotas to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator.
Use Adams's method of apportionment to solve the following problem. -1. Suppose a nation has 6 states, with populations shown in the chart below. The representative body had 200 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 calculator.
suppose and electronics company has three divisions D digital C computers and B business products division D has 142 employees see has 84 and B has 27 assume that 12 member quality improvement counsel has membership on the council proportional to the number of employees in the three divisions a. apportion this council using Hamilton method b. now increase the councils size to 13 and then to 14 and apportion this council using Hamilton method. c. what is the first size above 12 when the Alabama paradox, occurs, and what division loses a seat when the size of the council increases.

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