An engineer collects the following data showing the speed s of a Toyota Camry and its average miles per gallon, M.

$$\begin{matrix} \text{Speed, s} & \text{Miles per Gallon, M}\\ \hline \text{30} & \text{18}\\ \text{35} & \text{20}\\ \text{40} & \text{23}\\ \text{40} & \text{25}\\ \text{45} & \text{25}\\ \text{50} & \text{28}\\ \text{55} & \text{30}\\ \text{60} & \text{29}\\ \text{65} & \text{26}\\ \text{65} & \text{25}\\ \text{70} & \text{25}\\ \end{matrix}$$

Using a graphing utility, draw a scatter diagram of the data treating speed as the independent variable. What type of relation appears to exist between speed and miles per gallon?

Write four sentences that describe Montresor's act of revenge against Fortunato, using the active voice twice and the passive voice twice. With a partner, discuss which sentences are more effective and why.

Professor Grant Alexander wanted to find a linear model that relates the number of hours a student plays video games each week, h, to the cumulative grade-point average, G, of the student. He obtained a random sample of 10 full-time students at his college and asked each student to disclose the number of hours spent playing video games and the student’s cumulative grade-point average.

$$\begin{matrix} \text{Hours of} & \text{Grade-point}\\ \text{Video Games} & \text{Average, $G$}\\ \text{per Week, $h$} & \text{ }\\ \hline \text{0} & \text{3.49}\\ \text{0} & \text{3.05}\\ \text{2} & \text{3.24}\\ \text{3} & \text{2.82}\\ \text{3} & \text{3.19}\\ \text{5} & \text{2.78}\\ \text{8} & \text{2.31}\\ \text{8} & \text{2.54}\\ \text{10} & \text{2.03}\\ \text{12} & \text{2.51}\\ \end{matrix}$$

How many hours of video game playing do you think a student plays whose grade-point average is 2.40?

A very long wire carries a current $I_{1}$ upward and this current is decreasing with time. Nearby is a rectangular loop of wire lying in the plane of the long wire, and containing a resistor R; the resistance of the rest of the loop is negligible compared to R. The loop has a width w and height h, and is located a distance d to the right of the long wire. Does the current $I_{2}$ in the loop run clockwise or counterclockwise? Explain, using a diagram.

An engineer collects the following data showing the speed s of a Toyota Camry and its average miles per gallon, M.

$$\begin{matrix} \text{Speed, s} & \text{Miles per Gallon, M}\\ \text{30} & \text{18}\\ \text{35} & \text{20}\\ \text{40} & \text{23}\\ \text{40} & \text{25}\\ \text{45} & \text{25}\\ \text{50} & \text{28}\\ \text{55} & \text{30}\\ \text{60} & \text{29}\\ \text{65} & \text{26}\\ \text{65} & \text{25}\\ \text{70} & \text{25}\\ \end{matrix}$$

(a) Using a graphing utility, draw a scatter diagram of the data treating speed as the independent variable. What type of relation appears to exist between speed and miles per gallon? (b) Based on your response to part (a), find either a linear or quadratic model that describes the relation between speed and miles per gallon. (c) Use your model to predict the miles per gallon for a Camry that is traveling 63 miles per hour.

"On depressed woman would not eat and was in danger of dying of starvation, but she seemed to enjoy visitors and the TV set, radio, books and magazines, and flowers in her room. The therapists moved her into a room devoid of all these comforts, and put a light meal in front of her; if she ate anything at oil one of the comforts was temporarily restored. The therapists gradually withheld the rewards unless she ate more and more. Her eating improved, she gained weight and within two months she was released from the hospital. A follow-up eighteen months later found her leading a normal life.'' -from The Story of Psychology by Morton Hunt, 1993. What type of learning is being applied in the woman's treatment?

When do you have to manage your time or your resources?

Which word is more appropriate? Ellos bajaban _________ ayudando a unos vecinos del edificio. (la escalera) (el techo)

It is more likely that the amount of fishing is governed by the current number of fish present, so instead of a constant number of fish being caught, the rate is proportional to the current number of fish present, with proportionality constant k, as $P^{\prime}=0.4 P\left(1-\frac{P}{10000}\right)-k P .$ Solve this equation, assuming a value of k = 0.05 and an initial condition of 5000 fish.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. A conditional statement can sometimes be true if its

Refer to a small consumer survey in which 10 people were asked to choose a cola among Coke, Pepsi, and RC. If each person chose a cola randomly, what is the probability that at least one person did not choose Coke?

Why use a blind check the first time you receive an order from a supplier?

This exercise describes an example of a nonmeasurable set in R. If x and y are real numbers in the interval [0, 11, we say that x and y are equivalent, written $x \sim y$ x - y is rational. The relation $\sim$ is an equivalence relation, and the interval [0, 11] can be expressed as a disjoint union of subsets (called equivalence classes) in each of which no two distinct points are equivalent. Choose a point from each equivalence class and let E be the set of points so chosen. We assume that E is measurable and obtain a contradiction. Let $A=\left\{r_{1}, r_{2}, \dots\right\}$ denote the set of rational numbers in [-1, 11 and let $A=\left\{r_{1}, r_{2}, \dots\right\}$. a) Prove that each $E_n$ is measurable and that $\mu\left(E_{n}\right)=\mu(E)$. b) Prove that $\left\{{E}_{1}, {E}_{2}, \ldots\right\}$ s a disjoint collection of sets whose union contains [0, 1] and is contained in [-1, 2]. c) Use parts (a) and (b) along with the countable additivity of Lebesgue measure to obtain a contradiction.

Explain the difference between investing in a stock and investing in a bond.