One year in the apportionment of the legislature of a certain country, a certain state had a standard quota of 2.481785 and a modified quota of 2.453. Using the Huntington-Hill method, how many seats were apportioned to this state? Explain your answer. The number of seats apportioned to this state is Under the Huntington-Hill method, the cutoff for rounding quotas between 2 and 3 is (Type a whole number.)

One year in the apportionment of the legislature of a certain country, a certain state had a standard quota of 2.481785 and a modified quota of 2.453. Using the Huntington-Hill method, how many seats were apportioned to this state? Explain your answer. The number of seats apportioned to this state is Under the Huntington-Hill method, the cutoff for rounding quotas between 2 and 3 is (Type a whole number.)

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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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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Eleven blood samples were selected by taking every seventh blood sample from racks holding 225 blood samples from the morning draw at a medical center. (a) Calculate the FPCF for this sample. (Round your answer to 4 decimal places.)
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
Alabama Paradox 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 A 5,222 В 9,677 15,821 30,720 C 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:
5. Name the apportionment method in which we round each group's modified quota to the nearest whole number? 6. Name the paradox. " The addition of a new group changed the apportionments of other groups"
State A has a population of 25,500 and has 15 representatives. State B has a population of 20,150 and has 13 representatives. Which state unfairness of this apportionment? more poorly represented? What is the absolute unfairness of this apportionment? What is the relative Which state is more poorly represented? Select the correct answer below and, if necessary, fill in the answer boxes within your choice. O A. State B is more poorly represented with an average constituency of. State A is represented better with an average constituency of. O B. State A is more poorly represented with an average constituency of State B is represented better with an average constituency of. (Type integers or decimals.)
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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.
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.