This exercise comes in two parts. Read Part I and answer (a) and (b), then read Part II and answer (c) and (d). Part 1. A catering company contracts to provide catering services to three schools: Alexdale, with 617 students BromviUe, with 1,292 students, and Canley, with 981 students. The 30 food-service workers employed by the catering company are apportioned among the schools based on student enrollments. (a) Find the standard divisor,rounded lo the nearest integer. (b) Find the apportionment of the 30 workers to the three schools under Hamilton's method. Part 11. The catering company gets a contract to service one additional school-Dillwood, with 885 students To account for the additional students, the company hires 9 additional food-service workers. [885 students represent approximately 9 workers based on the standard divisor found m(a).] (c) Find the apportionment of the 39 workers to the four schools under Hamilton's method. (d) Which paradox is illustrated by the results of (b) and (c) ? Explain.

This exercise comes in two parts. Read Part I and answer (a) and (b), then read Part II and answer (c) and (d). Part I. The Intergalactic Federation consists of three sovereign planets: Aila, with a population of 5.2 million, Balin, with a population of 15.1 million, and Cona, with a population of 10.6 million. The Intergalactic Parliament has 50 seats that are apportioned among the three planets based on their populations. (a) Find the standard divisor in the Intergalactic Parliament. (b) Find the apportionment of the 50 seats to the three planets under Hamilton's method. Part 11. Based on the results of a referendum, the federation expands to include a fourth planet. Dent, with a population of 9.5 million. To account for the additional population the number of seats in the Intergalactic Parliament is increased by 15 to a total of 65. [9.5 million individuals represent approximately 15 seats based on the standard divisor found in (a).] (c) Find the apportionment of the 65 seats to the four planets using Hamilton's method. (d) Which paradox is illustrated by the results of ('b,) and (c)? Explain.

Ichiro wants to buy an above-ground swimming pool for his yard. Model A is 42 inches deep and holds 1750 cubic feet of water. The length of the rectangular pool is 5 feet more than the width. What are the dimensions of the pool?

An indium (In) nucleus contains 49 protons and 66 neutrons. Which one of the following symbols describes this nucleus? (a) $_{115}^{49}\mathrm{In}$, (b) $_{66}^{49}\mathrm{In}$, (c) $_{66}^{115}\mathrm{In}$, (d) $_{49}^{66}\mathrm{In}$, (e) $_{49}^{115}\mathrm{In}$.

A standard graphing window will not reveal all of the important details of the graph. Adjust the graphing window to find the missing details. $x^{3}-3 x^{2}=1-3 x$

Prove that c = 4 is the largest roof of

$$f ( x ) = x ^ { 4 } - 8 x ^ { 2 } - 128.$$

What new religious ideas set the stage for the reform movements of the mid-19th century?

A particle of mass m and charge −q moves along a straight line away from a fixed particle of charge Q. When the distance between the two particles is $r _ { 0 } , - q$ is moving with a speed $v _ { 0 }$. (a) Use the work-energy theorem to calculate the maximum separation of the charges. (b) What do you have to assume about $v _ { 0 }$ to make this calculation? (c) What is the minimum value of $v _ { 0 }$ such that −q escapes from Q?

Let $D$ be the semidisk $\left\{x^{2}+y^{2}<b^{2}, y>0\right\} .$ Consider the diffusion equation in $D$ with the conditions: $u=0$ on bdy $D$ and $u=\phi(r, \theta)$ when $t=0 .$ Write the complete expansion for the solution $u(r, \theta, t),$ including the formulas for the coefficients.

Relate to spherical coordinates defined by $x=\rho \cos \theta \sin \phi, y=\rho \sin \theta \sin \phi$ and $z=\rho \cos \phi$, where $0 \leq \rho, 0 \leq \theta \leq 2 \pi$ and $0 \leq \phi \leq \pi$. Find parametric equations for the region that lies above $z=\sqrt{x^{2}+y^{2}}$ and below $x^{2}+y^{2}+z^{2}=4$.

What form of the verb ganar goes in the blank? Pedro __________ mucho dinero.

You are given an irregularly shaped chunk of material and asked to find its density. List the specific steps that you would follow to do so.

How long will it take for $\$ 2100$ deposited at 4$\%$ compounded quarterly to double? To triple?

One hundred draws are made at random from box X. The average of the draws is 51.8, and their SD is 9. The null hypothesis says that the average of the box equals 50, while the alternative hypothesis says that the average of the box differs from 50. Is a one-tailed or a two-tailed z-test more appropriate?