Use the skills covered in the Brief Review to evaluate or simplify the following expressions.

$$16^{1 / 2}$$

AMD has recently announced that they will be integrating a graphics processing unit with their x86 cores in a single package, though with different clocks for each of the cores. This is an example of a heterogeneous multiprocessor system which we expect to see produced commericially in the near future. One of the key design points will be to allow for fast data communication between the CPU and the GPU. Presently communications must be performed between discrete CPU and GPU chips. But this is changing in AMDs Fusion architecture. Presently the plan is to use multiple (at least 16) PCI express channels for facilitate intercommunication. Intel is also jumping into this arena with their Larrabee chip. Intel is considering to use their QuickPath interconnect technology. 1. Compare the bandwidth and latency associated with these two interconnect technologies.

Develop a resource schedule in the loading chart that follows. Use the parallel method and heuristics given. Be sure to update each period as the computer would do. Note: activities 2, 3, 5, and 6 use two of the resource skills. Three of the resource skills are available. How has slack changed for each activity? Has the risk of being late changed? How?

Winter heating of an office building requires an average of $250 \mathrm{kBtu} / \mathrm{h}$. The heating system uses a heat pump with $\mathrm{COP}=$ 3.0. (b) What's the daily monetary savings, compared with heat from oil at $\$ 4.20$ per gallon? The oil contains $40 \mathrm{kWh}$ per gallon and burns at $87 \%$ efficiency.

Describe two different methods you could use to sketch a graph of a quadratic function with zeros $-8$ and 3 , and $y$-intercept $-2$. Which tool(s) would you need for each method?

Abby, Deborah, Julie, Sam, and Roberto work in a firm's public relations office. Their employer must choose two of them to attend a conference in Paris. To avoid unfairness, the choice will be made by drawing two names from a hat. (This is an SRS of size 2.) Write down all possible choices of two of the five names. This is the sample space.

Pine Valley Furniture Company has implemented electronic payment methods for some customers. These customers will no longer require an invoice. The send- Invoice and receivePayment methods will still be used for those customers who always pay by cash or check. However, a new method is needed to receive an electronic payment from those customers who use the new payment method. How will this change impact the Pine Valley Furniture class diagram? Redraw the diagram to include any changes that you think are necessary.

The college admissions office at a local university usually admits 750 students and knows from previous experience that $25 \%$ of these students choose not to enroll at the university.

a. Construct the centerline and the upper and lower control limits for the $\bar{p}$ chart.

b. Assume that this year the university admits 750 students and 240 choose not to enroll at the university. Should the university be concerned? Explain.

Use any or all of the methods described in this section to solve the below problem.

In a game of musical chairs, $12$ children will sit in $11$ chairs. (1 will be left out.) How many seatings are possible?

In paragraph 18, the word drudgery means -

A. chores

B. entertainment

C. skills

D. failure

Which of the following can be a negative consequence of drug use? (a) Temporary euphoria, (b) Decrease in tolerance, (c) Contraction of an STD, (d) Strengthened refusal skills.

The revenues and expenses of Adventure Travel Service for the year ended April 30, 2019, follow:

$$\begin{array}{lr}\text { Fees earned } & \$ 2,180,000 \\ \text { Office expense } & 400,000 \\ \text { Miscellaneous expense } & 25,000 \\ \text { Wages expense } & 1,300,000\end{array}$$

Prepare an income statement for the year ended April 30, 2019.

The probability density function of the weight of packages delivered by a post office is $f(x)=70 /\left(69 x^{2}\right) \quad 1<x<70 pounds.$ (a) What is the probability a package weighs less than 10 pounds? (b) Determine the mean and variance of package weight. (c) If the shipping cost is $3 per pound, what is the average shipping cost of a package?

Use both numeric and algebraic solution methods to solve each problem. Then tell which one you prefer and why.

Five less than three times a number is 25. What is the number?