The standard divisor of the given data set.

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Answer 1

Question

Chapter 12.4, Problem 29E

(a)

To determine

To find: The standard divisor of the given data set.

(b)

To determine

To find: The standard quota for each store.

(c)

To determine

To find: The upper and lower quotas for each branch .

(d)

To determine

To find: The number of new books assigned to the respective branches.

(e)

To determine

To write: The modified divisor used for the method.

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For each real-valued nonprincipal character x mod k, let A(n) = x(d) and F(x) = Σ : dn * Prove that F(x) = L(1,x) log x + O(1). n

By considering appropriate series expansions, e². e²²/2. e²³/3. .... = = 1 + x + x² + · ... when |x| < 1. By expanding each individual exponential term on the left-hand side the coefficient of x- 19 has the form and multiplying out, 1/19!1/19+r/s, where 19 does not divide s. Deduce that 18! 1 (mod 19).

Proof: LN⎯⎯⎯⎯⎯LN¯ divides quadrilateral KLMN into two triangles. The sum of the angle measures in each triangle is ˚, so the sum of the angle measures for both triangles is ˚. So, m∠K+m∠L+m∠M+m∠N=m∠K+m∠L+m∠M+m∠N=˚. Because ∠K≅∠M∠K≅∠M and ∠N≅∠L, m∠K=m∠M∠N≅∠L, m∠K=m∠M and m∠N=m∠Lm∠N=m∠L by the definition of congruence. By the Substitution Property of Equality, m∠K+m∠L+m∠K+m∠L=m∠K+m∠L+m∠K+m∠L=°,°, so (m∠K)+ m∠K+ (m∠L)= m∠L= ˚. Dividing each side by gives m∠K+m∠L=m∠K+m∠L= °.°. The consecutive angles are supplementary, so KN⎯⎯⎯⎯⎯⎯∥LM⎯⎯⎯⎯⎯⎯KN¯∥LM¯ by the Converse of the Consecutive Interior Angles Theorem. Likewise, (m∠K)+m∠K+ (m∠N)=m∠N= ˚, or m∠K+m∠N=m∠K+m∠N= ˚. So these consecutive angles are supplementary and KL⎯⎯⎯⎯⎯∥NM⎯⎯⎯⎯⎯⎯KL¯∥NM¯ by the Converse of the Consecutive Interior Angles Theorem. Opposite sides are parallel, so quadrilateral KLMN is a parallelogram.

Answer 2

Question

Chapter 12.4, Problem 29E

(a)

To determine

To find: The standard divisor of the given data set.

(b)

To determine

To find: The standard quota for each store.

(c)

To determine

To find: The upper and lower quotas for each branch .

(d)

To determine

To find: The number of new books assigned to the respective branches.

(e)

To determine

To write: The modified divisor used for the method.

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Answer 3

Question

Chapter 12.4, Problem 29E

(a)

To determine

To find: The standard divisor of the given data set.

(b)

To determine

To find: The standard quota for each store.

(c)

To determine

To find: The upper and lower quotas for each branch .

(d)

To determine

To find: The number of new books assigned to the respective branches.

(e)

To determine

To write: The modified divisor used for the method.

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Answer 4

Question

Chapter 12.4, Problem 29E

(a)

To determine

To find: The standard divisor of the given data set.

(b)

To determine

To find: The standard quota for each store.

(c)

To determine

To find: The upper and lower quotas for each branch .

(d)

To determine

To find: The number of new books assigned to the respective branches.

(e)

To determine

To write: The modified divisor used for the method.

Expert Solution & Answer

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Answer 5

Chapter 12.4, Problem 29E

(a)

To determine

To find: The standard divisor of the given data set.

(b)

To determine

To find: The standard quota for each store.

(c)

To determine

To find: The upper and lower quotas for each branch .

(d)

To determine

To find: The number of new books assigned to the respective branches.

(e)

To determine

To write: The modified divisor used for the method.

Answer 6

Chapter 12.4, Problem 29E

(a)

To determine

To find: The standard divisor of the given data set.

Answer 7

Chapter 12.4, Problem 29E

(a)

To determine

To find: The standard divisor of the given data set.

Answer 8

(b)

To determine

To find: The standard quota for each store.

Answer 9

(b)

To determine

To find: The standard quota for each store.

Answer 10

(c)

To determine

To find: The upper and lower quotas for each branch .

Answer 11

(c)

To determine

To find: The upper and lower quotas for each branch .

Answer 12

(d)

To determine

To find: The number of new books assigned to the respective branches.

Answer 13

(d)

To determine

To find: The number of new books assigned to the respective branches.

Answer 14

(e)

To determine

To write: The modified divisor used for the method.

Answer 15

(e)

To determine

To write: The modified divisor used for the method.

Answer 16

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Answer 17

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Answer 18

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Answer 19

Ch. 12.1 - The Student Activities Committee at Camden College...Ch. 12.1 - An election was held for the chairperson of the...Ch. 12.1 - Prob. 3TTO Ch. 12.1 - Prob. 4TTO Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Explain the head-to head comparison criterion.Ch. 12.1 - 5. What is a fairness criterion for an election? Ch. 12.1 - Prob. 6E

The standard divisor of the given data set.

Solution Summary: The author explains that the standard divisor for an apportionment process is the average number of people per seat. The standard quota for each store is 12.238, 8.634, 20.149, 16.386, 3

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To find: The standard divisor of the given data set.

To find: The standard quota for each store.

To find: The upper and lower quotas for each branch .

To find: The number of new books assigned to the respective branches.

To write: The modified divisor used for the method.

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Chapter 12 Solutions