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 by using the Huntington-Hill apportionment method. The district has decided to hire a new teacher for either the fifth or sixth grade. Number of TeachersNumber of StudentsFifth Grade20576Sixth Grade23726(a)Use the apportionment principle to determine to which grade the new teacher should be assigned.fifth gradesixth grade (b)Use the Huntington-Hill apportionment principle to determine to which grade the new teacher should be assigned.fifth gradesixth grade How does this result compare with the result in part (a)?same resultdifferent result

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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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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 by using the Huntington-Hill apportionment method. The district has decided to hire a new teacher for either the fifth or sixth grade.

	Number of Teachers	Number of Students
Fifth Grade	20	576
Sixth Grade	23	726

(a)

Use the apportionment principle to determine to which grade the new teacher should be assigned.

fifth gradesixth grade

(b)

Use the Huntington-Hill apportionment principle to determine to which grade the new teacher should be assigned.

fifth gradesixth grade

How does this result compare with the result in part (a)?

same resultdifferent result

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