Graph the two functions you found in problem 1.

Problem 1:

Two construction workers working at different heights on a skyscraper dropped their hammers at the same time. The first was working at a height of 400 ft, the second at a height of 160 ft. Give the two functions that describe the heights of the hammers.

What do the occupations of the Working Men's Party candidates suggest about its definition of "worker" (source 6)?

Establish the following rules for working with differentials (where $c$ denotes a constant and $u$ and $v$ are functions of $x$ ).

$$d(u+v)=d u+d v$$

In the sentence below, underline the verb form in parentheses that correctly completes the sentence. Example 1. We ( $\underline{\text{have been working}}$, will have been working) in the yard all morning.

Without telling their coach, the tennis team (will be training, trained) harder than usual for the meet they won yesterday.

If 100,000 people are working in manufacturing jobs in one state, about how many of them belong to unions?

Use the working backward method to find the solution of the equation. Show your work. 4y - 1 = 7

Solve a problem by working backward.

A number is multiplied by 2, and then the product is added to 9. The result is 49. What is the number?

How do you think the person who drew this picture felt about children working in the mines?

A large pipe can fill a tank in $8 \mathrm{~min}$ less time than it takes a smaller pipe to fill the same tank. Working together, the pipes can fill the tank in $3 \mathrm{~min}$. How long would it take the larger pipe, working alone, to fill the tank?

Wages A machinist earns $682.50 for working a 35-hour week. What is the machinist's hourly rate of pay?

Establish the following rules for working with differentials (where c denotes a constant and u and v are functions of x).

d(cu)=cdu

Many manufacturing companies use statistical techniques to ensure that the products they make meet standards. One common way to do this is to take a random sample of products at regular intervals throughout the production shift. Assuming that the process is working properly, the mean measurement

$$\overline{x}$$

from a random sample varies according to a Normal distribution with mean

$$\mu_{\overline{x}}$$

and standard deviation

$$\sigma_{\overline{x}}.$$

For the question that follows, assume that the process is working properly. Plant managers are trying to develop a criterion for determining when the process is not working properly. One idea they have is to look at the 5 most recent sample means. If at least 4 of the 5 fall outside the interval

$$(\mu_{\overline{x}} - \sigma_{\overline{x}}, \mu_{\overline{x}} + \sigma_{\overline{x}}),$$

they will conclude that the process isn't working. Find the probability that at least 4 of the 5 most recent sample means fall outside the interval, assuming the process is working properly. Is this a reasonable criterion? Explain.

Establish the following rules for working with differentials (where c denotes a constant and u and v are functions of x).

d(uv)=udv+vdu

Which term refers to the memory process by which previously stored information is accessed for use in working memory