Modify the SimpleVector class template presented in this chapter to include the member functions push_back and pop_back. These functions should emulate the STL vector class member functions of the same name. The push_back function should accept an argument and insert its value at the end of the array. The pop_back function should accept no argument and remove the last element from the array. Test the class with a driver program.

The 9th grade class at Oak Grove School can be divided into equal size groups of $4$, $8$, and $13$ students. What is the smallest possible size of the class?
A. $52$
B. $64$
C. $104$
D. $416$

Write the definition of a class that has the given propertie: The class stockType has the following instance variables: name of type string, symbol of type string; currentPrice, lowPriceOfTheDay, highPriceOfTheDay, previousDayClosingPrice, fiftyTwoWeeksHigh, and fiftyTwoWeeksLow are of type double.

There were 30 students in the class. Twenty percent ate the middle of their cookies first. while one third of the class preferred to dunk their cookies in their milk. How many more dunkers than middle-eaters were there?

Suppose class two is derived from class one. To avoid multiple inclusion of these classes, which preprocessor directives are used in the header files containing the definitions of these classes. Justify your answer by giving an example. (7)

According to a survey, 27% students of high school students in the United States buy a class ring. You ask 6 randomly chosen high school students whether they own a class ring. a. Draw a histogram of the binomial distribution for your survey. b. What is the most likely outcome of your survey? c. What is the probability that at most 2 people have a class ring?

A new prep class was designed to improve SAT test scores. Five students were selected at random. Their scores on two practice exams were recorded, one before the class and one after. The data recorded in Table 10.15. Are the scores, on average, higher after the class? Test at a 5% level.

$$\begin{matrix} \text{SAT Scores} & \text{Student 1} & \text{Student 2} & \text{ Student 3} & \text{Student 4}\\ \text{Score before class} & \text{1840} & \text{1960} & \text{1920} & \text{2150}\\ \text{Score after class} & \text{1920} & \text{2160} & \text{2200} & \text{2100}\\ \text{Table 10.15}\\ \end{matrix}$$

The following table presents the manufacturer’s suggested retail price (in $\$1000$s) for base models and styles of BMW automobiles.

$$\begin{array}{rrrrrrr} \hline 50.1 & 89.8 & 55.2 & 90.5 & 30.8 & 62.7 & 38.9\\ 70.4 & 48.0 & 89.2 & 47.5 & 86.2 & 53.4 & 90.2\\ 55.2 & 93.5 & 39.3 & 73.6 & 60.1 & 140.7 & 31.2\\ 64.2 & 44.1 & 80.6 & 38.6 & 68.8 & 32.5 & 64.2\\ 56.7 & 96.7 & 36.9 & 65.0 & 59.8 & 114.7 & 43.3\\ 55.7 & 93.7 & 47.8 & 86.8\\ \end{array}$$

$\textbf{a.}\hspace{10pt}$ Construct a frequency distribution using a class width of $10$, and using $30$ as the lower class limit for the first class.

$\textbf{b.}\hspace{10pt}$ Construct a frequency histogram from the frequency distribution in part $(a)$.

$\textbf{c.}\hspace{10pt}$ Construct a relative frequency distribution using the same class width and lower limit for the first class.

$\textbf{d.}\hspace{10pt}$ Construct a relative frequency histogram.

$\textbf{e.}\hspace{10pt}$ Are the histograms unimodal or bimodal?

$\textbf{f.}\hspace{10pt}$ Repeat parts $(a)–(d)$, using a class width of $20$, and using $30$ as the lower class limit for the first class.

$\textbf{g.}\hspace{10pt}$ Do you think that class widths of $10$ and $20$ are both reasonably good choices for these data, or do you think that one choice is much better than the other? Explain your reasoning.

Use the information given to find a convenient class width. Then list the class boundaries that can be used to create a relative frequency histogram. 10 classes for $n=120$ measurements; minimum value $=0.31 ;$ maximum value $=1.73$

Enumclaw Brick, Inc., manufactures bricks using clay deposits on the company’s property. Raw clays are blended and then extruded into molds to form unfired bricks. The unfired bricks are then stacked onto movable metal platforms and rolled into the kiln where they are fired until dry. The dried bricks are then packaged and shipped to retail outlets and contractors. The bottleneck in the production process is the kiln, which is available for 2,000 hours per year. Data concerning the company’s four main products appear below. Products are sold by the pallet.

No fixed costs could be avoided by modifying how much is produced of any product.

Required:

1. Is there sufficient capacity in the kiln to satisfy demand for all products?

2. What is the production plan for the year that would maximize the company’s profit?

3. What would be the total contribution margin for the production plan you have proposed?

4. The kiln could be operated for more than 2,000 hours per year by running it after normal working hours. Up to how much per hour should the company be willing to pay in overtime wages, energy costs, and other incremental costs to operate the kiln additional hours?

5. The company is considering introducing a new product, glazed Venetian bricks, that would have a variable cost of $530 per pallet and would require 11 hours in the kiln. What is the minimum acceptable selling price for this new product?

6. Salespersons are currently paid a commission of 5% of gross revenues. Will this motivate the salespersons to make the right choices concerning which products to sell most aggressively?

To present a report, each student needs 12 minutes. A class period lasts for 48 minutes. To figure out how many students could present a report in a single class period, write an equation and solve it.

How would you show that, for any whole number a, a + 0 = a if

(a) you were starting from our definition of addition and the audience is your university class?

(b) you were talking to your class of fourth graders?

The average of Mindy's two test scores must be at least 92 to make an $\mathrm{A}$ in the class. Mindy got an 88 on her first test. What scores can she get on her second test to make an $A$ in the class?

If you declare a variable as an instance variable within a class, and you declare and use the same variable name within a method of the class, then within the method, _______.
a. the variable used inside the method takes precedence
b. the class instance variable takes precedence
c. the two variables refer to a single memory address
d. an error will occur