Your pay as a lifeguard is $\$14.50$ an hour for a regular 40-hour week. Your overtime rate is $1\frac{1}{2}$ times your regular hourly rate. During this past week, you earned $\$712.50$ in total pay. How many hours of overtime did you work in that week?

Assume a normal distribution with known population variance. Calculate the LCL and UCL for each of the following.

a. $\bar{x}=50 ; n=64 ; \sigma=40 ; \alpha=0.05$

b. $\bar{x}=85 ; n=225 ; \sigma^2=400 ; \alpha=0.01$

c. $\bar{x}=510 ; n=485 ; \sigma=50 ; \alpha=0.10$

a) Construct a regular hexagon with sides of length 3 cm. b) Calculate its area, showing your method clearly.

Rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation. $x^{2}+4 x y+y^{2}-3=0$

Solve. The length of a side of the base of a regular square pyramid is 6 in. and the height of the pyramid is 10 in. Find the volume of the pyramid.

Refer to Appendix page discussed before, to find data about the average number of days with precipitation of $0.01$ in. or more for selected cities in the United States. Using a calculator or computer, enter the data for the annual number of days with precipitation.

Find the mean, range, standard deviation, and variance for this data.

(a) Explain how to find the nth state matrix of a Markov chain. (b) Explain how to find the steady state matrix of a Markov chain. (c) What is a regular Markov chain? (d) What is an absorbing Markov chain? (e) How is an absorb ing Markov chain different than a regular Markov chain?

A homeowner buys a new refrigerator and a new air conditioner. Which one of these devices would you expect to have a higher COP? Why?

A picture-framing company sells two types of glass: regular and nonglare. For a piece of nonglare glass, the charge is equal to the length of the longest side in inches multiplied by the rate $0.75 per inch. For what length will the charge for nonglare glass be the same as the charge for regular glass? What will the charge be? Explain your answers.

The measure of an exterior angle of a regular polygon is given. Find the measure of an interior angle. Then find the number of sides. 72

Identify Point of View How did the work of New Deal era artists and writers contribute to our appreciation today of the New Deal?

Find the area of each regular polygon with the given apothem a and side length s. decagon, a = 19 m, s = 12.3 m

A concerned parents group determined the number of commercials shown in each of five children's programs over a period of time. Find the mean, variance, and standard deviation for the distribution shown.

For the following program fragments, predict what the output will be.

ListNode *p = new ListNode(56.4);
p = new ListNode(34.2, p);
cout << (*p).value << endl << p−>value;