A country with three states has 30 seats in the legislature. The population of each state is shown in the table below.a) Apportion the seats using Hamilton's method.b) Does the Alabama paradox occur using Hamilton's method if the number of seats is increased from 30 to 31?StatePopulationB251ATotal162487900.....a) Complete the table with the apportionment of the seats using Hamilton's method.StatePopulationHamilton'sapportionmentA162ВTotal25148790030

The Hamilton proposed a method for seat allocation in Assembly legislature. The following are steps…

Answered: a) Complete the table with the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The number of houses of representatives is determined by the population of a state. The current number of representatives of New Jersey is 12 while the number of representatives of Pennsylvania is 18. Do some research and show your detailed work why these two numbers come up. Your report needs to cover the apportionment method it uses and mathematical calculations it performs.
The population for the following district is subdivided by region: Region 15 has 496 students Region 16 has 224 students Region 17 has 399 students If an organization selects 3 students to represent the district, calculate the standard divisor needed to be eligible for representation of the region. Round your answer to 2 decimal places. 373
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
A small country is made up of three separate islands: Eno, with a population of 100,300, Owt, with a population of 9,405, and Eerht with a population of 90,295. The country has a senate with 200 members whose seats are apportioned proportional to the population of each island. a. Use Hamilton's method to apportion the 200 seats. b. The senate decides to add another seat so that they have an odd number of senators. Use Hamilton's method to apportion the 201 seats. c. Compare your results from parts (a) and (b). This is an example of which paradox?
A newly established country has 4 states, A, B, C, and D. Their populations are in the table. The states share 120 representatives. The governors of these states agree that the seats should be apportioned using Adam’s method of apportionment. What is the sum of the first upper quota for the four states?
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…
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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:
An industrial oil heater is tested by its ability to heat up a large room on a cold day and in particular, the rate at which it reaches a desired average temperature. The size of the room and the room temperature prior to switching on the heater were identified as two important factors of the rate at which the average room temperature increases. The experiment was replicated 3 times for each combination. The time (in minutes) till an average temperature increase of 10°C was measured is tabulated below: Factor B Large Classroom (200m2) Large Auditorium (400m2) (1) Treatment Combination (2) Factor A 7°C (1) 8,9,8 22,18,21 12°C (2) 9,10,12 19,29,25 Let factor A be the initial temperature and factor B be size of the room.
Recall that the Bandana Republic is apportioning M=160 congressional seats among four states. The states' populations are shown in the table below. Apure Barinas Carabobo Dolores Population 3,310,000 2,670,000 1,330,000 690,000 Find the apportionment under Webster's method of the Bandana Republic Congress. Apure gets Answer seats, Barinas gets Answer seats, Carabobo gets Answer seats, and Dolores gets Answer.
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a) Complete the table with the apportionment of the seats using Hamilton's method. State Population Hamilton's apportionment OTO A B Total 900 162 251 487 30