The following table shows the number of fifth and sixth grade teachers in a school district and the number of students in each of those grades. The number of teachers for each of the grade levels was determined byusing the Huntington-Hill apportionment method. The district has decided to hire a new teacher for either the fifth or sixth grade.Fifth gradeSixth gradeNumber ofteachers2122Number ofstudents649730(a) Use the apportionment principle to determine to which grade the new teacher should be assigned.O fifth gradeO sixth grade(b) Use the Huntington-Hill apportionment principle to determine to which grade the new teacher should be assigned.O fifth gradeO sixth gradeHow does this result compare with the result in part (a)?O same resultO different result

Answered: The following table shows the number of…

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 country consists of 20 states. There are 522 seats in the Congress which are to be apportioned among the 20 states to their respective population. The following table shows the population of the 20 states. Use a spreadsheet program to answer the following questions. Round all standard quotas, modified quotas, and the divisor to 5 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Stat Populati Standa Adams' Webste Modifi Modifi Adams' Webste Advantage on rd S r's ed ed S r's or e Quotas Rounde Rounde Quotas Quotas Modifi Modifi Disadvant d Up Quotas Quotas Adam Webste Rounde Rounde d for for ed ed age A 413,875 B 500,032 397,004 D 360,874 E 193,993 F 131,279 G 76,121 H 297,022 I 94,239 J 423,566 K 565,883 L 473,525 M 399,170 N 403,576 100,904 P 73,143 Q 360,997 R 410,181 S 456,755 T 139,361 Tota 6,271,50 Seats: 522
A country has two states, A and B, with the population (in hundreds) shown in the table and 100 seats in the legislature. State Population A 4470 B 520 с 263 Total 5253 (a) Find the apportionments for A and B using Hamilton's method. state A state B seats seats
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 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: Population 2000 Initial Quotas Final Quotas State Standard Quotas А 6,550 11,520 4,698 22,768 B C Total 21.) 7.) Did a new state paradox occur? Explain your answer. Write your response below:
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
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
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A large hotel chain needs to apportion 24 new surfboards for its visitors to rent among three hotels based on the numbers of rooms in each hotel as shown below. Determine each hotel's apportionment using Webster's method with the standard divisor. Hotel Number of rooms A 307 Hotel Number of apportioned surfboards (Type a whole number.) B 213 A с 128 Total 648 O
A small country with a population of 6,000,000 consists of four states, A, B, C, and D. There are 150 seats in the legislature that need to be apportioned among the four states. The population of each state is shown in the table. Determine each state's apportionment using Webster's method using the standard divisor. State A B C D Total J Population 1,250,000 2,728,000 875,000 1,147,000 6,000,000 Complete the table below. State Population Number of seats (Type whole numbers.) A 1,250,000 B 2,728,000 C 875,000 D 1,147,000 Total 6,000,000 150

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