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 regular polyhedron has axis symmetry of order 3, but does not have plane symmetry. What is the figure? Explain.

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.

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.

Predict the Output:

ListNode *p = new ListNode(56.4, new ListNode(31.5));
ListNode *q = p;
while (q->next->next != NULL)
q = q->next;
cout << q->value;

For the equation, solve for $y$ and identify the new coefficient of $x$ and new constant term.

$\frac{5}{6} x+\frac{1}{7} y=-\frac{4}{7}$

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?

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

Many traffic experts argue that the most important factor in accidents is not the average speed of cars but the amount of variation. Suppose that the speeds of a sample of 200 cars were taken over a stretch of highway that has seen numerous accidents. Compute the variance and standard deviation of the speeds, and interpret the results.

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

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

Angle PAN

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.

A card is drawn at random from a regular deck of 52 cards. Find the probability of each event. A spade is drawn.

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.