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. Therepresentative body had 200 seats.Find:the standard divisor,the modified divisor, andthe distribution of representatives to each state.Then complete the table. Round all standard and modified quotas to 7 decimal places ifneeded.You can use a spreadsheet to help you figure out an answer or calculate using acalculator.Representative Seats200Rounded Modified ModifiedUpperQuotasStatePopulationStandardQuotasUpQuotasQuotas1,598,4001,236,3005,460,200826,900965,5001,112,70011,200,000АВCFTotalStandard DivisorModified Divisor

To assign the number of representatives to each state by Adams's method, use the following formulae.…

Answered: Use Adamss's method of apportionment to…

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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H 2. 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. Representative Seats State A B C D E Total Standard Divisor Modified Divisor 150 Population 1,895,500 1,234,500 845,200 399,120 500,680 4,875,000 Modified Modified Rounded Standard Quotas Rounded Quotas Quotas Quotas Huntington-Hill's Method of Apportionment 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.…
Acme Bus Company has selected you to conduct a survey of their riders. They want data on 50 minors (younger than 18 years) and 100 adults (18 years or older). You will use quota sampling. a) Define quota sampling b) Justify why quota sampling is used in the survey c) Explain how you would select the sample. d) Explain how you would gather the data.
A new country is being formed and the standard quotas are given for each of the states is given in the chart below. State A B C D E Standard Quota 40.50 29.70 23.65 14.60 10.55 What is the total number of seats in the legislature? Group of answer choices 118 117 119 120
A small country has 30 seats in congress, divided among the states according to their respective populations. The table show the populations after a 1990 census. 1.) Complete the table using Hamilton's method to apportion the seats for the populations after 1990. 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: State Initial Quotas Final Quotas Population 1990 29,081 49,016 121,913 200,010 Standard Quotas A B C Total
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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
Use Webster's method of apportionment to solve the following problem. 2. 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. Representative Seats State A B C Total Standard Divisor Modified Divisor 150 Population 1,895,500 1,234,500 845,200 399.120 500.680 4,875,000 Standard Rounded Modified Modified Quotas Quotas Rounded Quotas Quotas
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.
APPORTIONMENT (COMPUTATION) 1. What leisure activities do you participate in? In the table below, there are five activities and the approximate number of participants (in millions) in each. Exercise Sports Charity Work Home Repair Computer Hobbies 150 90 85 130 80 Suppose you wish to allocate $100 million to promote leisure activities based on 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.
2. The grid below gives the locations of 25 voters in a region, which you must divide into 5 districts of 5 voters each. In each district, the party with the most votes wins. The districts must satisfy these rules: the districts must be non-overlapping the districts must be contiguous meaning that every square must share a side with another square in that district. Outline 5 districts which represent what you think is a "fair" way to split these voters up. Explain what you used as your "fair" criteria. There is not one correct answer. There are many. Answering the following questions may help in coming up with a "fair" method: a) How many Blue voters are there and what percentage of the voters in this region are Blue? b) How many Red voters are there and what percentage of the voters in this region are Red? To have proportional representation, how many of the five districts should the Red party win? How about the Blue party? Explanation of Method you used for Fairness: c)

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