Lo-bed Company produced 4,000 units of product that required four standard hours per unit. The standard fixed overhead cost per units is $1.20 per hour at 16,400 hours, which is 100% of normal capacity. Determine the fixed factory overhead volume variance.

For a sample of eight apartment buildings in Chicago, the percentage-occupancy rates during a recent month were as shown below:

$$\begin{array}{llll}50.0 \% & 79.1 & 61.3 & 43.9 \\ 68.1 & 70.0 & 72.5 & 66.3\end{array}$$

For these sample data, determine:

c. The standard deviation and variance.

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;   

(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 regular heptagon (7 sides) has perimeter 126 and area A. Express the apothem a of the heptagon algebraically in terms of the area A.

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

The base of the isosceles triangle is also a side of regular pentagon PENTA. Find the measure of each angle.

Angle PAN

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. 18

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.

Let G be an r-regular graph with n vertices and m edges. Find (and prove) a simple algebraic relation between r, n, and m.

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

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.

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

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?