Consider the apportionment of 50 doctors for a physicians organization. The apportionment using Hamilton's methodis shown in the table below. Does the Alabama paradox occur using Hamilton's method if the number of doctors isincreased from 50 to 51?ClinicPatientsStandard quotaLower quotaHamilton'sapportionmentA656ClinicPatientsHamilton'sapportionment11.441112B5369.3599656OC5259.1699536525D555Complete the table below with the new apportionment for clinics A, B, C, D, and E using a standard divisor rounded totwo decimal places.-9.68910E595D55510.381010Total D286750.014850E595Total2867

Given that,ClinicPatientsStandard quotaLower QuotaHamilton's…

Answered: Consider the apportionment of 50…

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 certain city has two districts A and B. The populations of the districts are given in the table. There are 40 police officers that are employed to patrol these two districts. 1.) Complete the table using Hamilton's method to apportion the police offices 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 A Total Population 1990 6,550 11,520 18,070 Standard Quotas 40 Initial Quotas Final Quotas 2.) Now the city expands to cover a new district called district C. As a result, the city hires 10 new police officers to cover the new district. This brings the total number of officers to 50. The total population of the city is shown in the table. Complete the table using Hamilton's method to apportion the police offices for the populations after 2000. Round all standard…
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A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a planning committee with three different members. There are 13 qualified candidates, and officers can also serve on the committee. Complete parts (a) through (c) below. a. How many different ways can the officers be appointed? There are different ways to appoint the officers. G
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?
(5)
Consider a fictitious country Makria with four states Urbinulla, Konta, Cyclos, and Pantou. The population of each state is given in the table below. If the new constitution of country Makria calls for 28 representatives to be chosen from the four states, what are the number of representative for each state if we use Adams Method?(Hint: Use Dm = 1200 ). Makria Country State Роpulation Urbinulla 12,521 Konta 3, 879 Cyklos 8, 764 Pantou 4, 836 A Urbinulla: 11 Konta: 3 Cyklos: 8 Pantou: 4 В Urbinulla: 12 Konta: 4 Cyklos: 8 Pantou: 4 Urbinulla: 12 Konta: 3 Cyklos: 9 Pantou: 4 Urbinulla: 11 Konta: 4 Cyklos: 8 Pantou: 5
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…
Consider the apportionment of 40 doctors for a physicians organization. The apportionment using Hamilton's method is shown in the table below. Does the Alabama paradox occur using Hamilton's method if the number of doctors is increased from 40 to 41? Clinic Patients Standard quota Lower quota Hamilton's apportionment A 492 9.09 9 9 Clinic Patients Hamilton's apportionment B 402 7.43 7 8 с 394 7.28 7 7 B 402 D 424 7.83 7 8 C 394 Complete the table below with the new apportionment for clinics A, B, C, D, and E using a standard divisor rounded to two decimal places. A E 453 492 E 453 8.37 8 8 D 424 Total 2165 40.00 38 40 D Total 2165 41
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"
7
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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