A small country is comprised of four states, A, B, C, and D. The population of each state, in thousands, is given in the following table.StateABDTotalPopulation (in thousands)72104176248600According to the country's constitution, the congress will have 30 seats, divided among the four states according to their respective populations. Use Hamilton'smethod to find each state's apportionment of congressional seats.StateABTotalPopulation72104176248600Allocated seats530(Type an integer in each box. One of them has been done for you.)

The given data is as follows State A B C D Total Population 72 104 176 248 600 There are a…

Answered: A small country is comprised of four…

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 that the governors of three midwestern region states have agreed to form an interstate bureau to foster historical awareness, tourism, and commerce. The bureau will have ten seats, and the populations of the states are given in the figure shown below. Use Hamilton's Method to apportion the bureau seats. State A B C Population 9,938,480 5,363,704 4,819,485 Seats
The acreage of five county parks in Hillsborough County is shown in the following table. Suppose the county wishes to distribute 75 new park rangers among these five parks. 600 E. G. Simmons 470 Lettuce Lake 240 Lithia Springs 160 Eureka Springs 30 Lake Park (a) Find the modified quota for each park using the divisor 20.5. (Round your answers to two decimal places.) Lake Park E. G. Simmons Lettuce Lake Lithia Springs Eureka Springs (b) Find the numbers of rangers that should be allocated to each park using Adams' method. Lake Park rangers rangers rangers rangers rangers E. G. Simmons Lettuce Lake Lithia Springs Eureka Springs
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A country with four states, A, B, C and D apportions the 70 seats in its congress using Hamilton's Method. The table below lists the population for each state and the final apportionment. Apportionment State A B C D State A Population 8000 10000 B C D 4625 7625 New census data came in this year and the 70 seats need to be reapportioned using Hamilton's Method. The table below shows the new populations for each state. New Population 8088 10670 4537 7938 A's final apportionment: B's final apportionment: C's final apportionment: 18 23 11 18 D's final apportionment: Have any paradoxes occurred? If so, which ones? Explain your answer. Population Paradox Alabama Paradox New States Paradox None of the above
A small country is comprised of four states, A, B, C, and D. The population of each state, in thousands, is given in the following table. State Population (in thousands) A B 75 148 C D 285 392 According to the country's constitution, the congress will have 90 seats, divided among the four states according to their respective populations. a) Find the standard divisor, in thousands. How many people are there for each seat in congress? standard divisor: number of people for each seat: (Type an integer in each box.) b) Find each state's standard quota. (Two of them have been done for you.) State Population (in thousands) Standard quota A D 75 392 7.5 39.2 (Type an integer or a decimal rounded to two decimal places, if necessary, in each box.) B C 148 285 Total 900 Total 900
A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown below for the years 1990 and 1995. State A B C D E F G 1990 Population 1283 2374 2725 2155 1592 2511 2017 1995 Population 1347 2469 2847 2220 1640 2611 2078 Does the population paradox occur using Hamilton's method of apportionment? Select one: a. Yes b. No
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…
A boat manufacturer has 153 new boats of a new model to be apportioned to four dealerships. The manufacturer decides to apportion the boats based on the number of boats each dealership sold in the previous year. The number of boats sold by each dealership is shown below. Use the table to answer parts a through c. Dealership Annual Sales A Total 5052 3635 3275 2267 14,229 ... a) Determine the standard divisor. (Type an integer or decimal rounded to the nearest hundredth as needed.)
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:
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A small country is comprised of four states, A, B, C, and D. The population of each state, in thousands, is given in the following table. State Total A B C D Population (in thousands) 205 465 845 1085 2600 According to the country's constitution, the congress will have 65 seats, divided among the four states according to their respective populations. a) Find the standard divisor, in thousands. How many people are there for each seat in congress? standard divisor: number of people for each seat: (Type an integer in each box.) b) Find each state's standard quota. (Two of them have been done for you.) c) Find each state's lower quota and upper quota. State Lower Quota Upper Quota A (Type an integer in each box.) State A B 205 465 1085 Population (in thousands) Standard quota 5.13 27.13 (Type an integer or a decimal rounded to two decimal places, if necessary, in each box.) State Lower Quota Upper Quota B (Type an integer in each box.) C D State Lower Quota Upper Quota C (Type an integer…

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