A convex security mirror has a radius of curvature of $-1.50 \mathrm{~m}$. (a) A shoplifter picks up a $0.255-\mathrm{m}$-high purse $11.5 \mathrm{~m}$ from the mirror. What distance behind the mirror is the image of the purse? (b) What is the nature of the image ? ( c) How high is the image of the purse? (d) Are convex security mirrors better for viewing detailed images or large fields of view?

The following problem concern the 11th-grade class, who decides to run a lottery to help finance the prom. A person pays $1 and picks three different digits. If all three digits match the winning digits, the class pays the person$100 (but keeps the $1). If not, the class keeps the$1.

What is the 11 th-grade class's payoff if the pick is the winning combination? What is the class's payoff if the pick is not the winning combination?

Monthly loan payments Tim Smith is shopping for a used car. He has found one priced at $\$ 4,500$. The dealer has told Tim that if he can come up with a down payment of $\$ 500$, the dealer will finance the balance of the price at a $12 \%$ annual rate over 2 years ( 24 months). a. Assuming that Tim accepts the dealer's offer, what will his monthly (end-ofmonth) payment amount be?

On a separate sheet of paper, write the term that best matches given definition below.
A strategy for recognizing the relative cost of a product based on the cost of a standard unit, such as an ounce or gram.

David County has six high schools. Each school sent students to participate in a county-wide science competition. Table 2.41 shows the percentage breakdown of competitors from each school, and the percentage of the entire student population of the county that goes to each school. Construct a bar graph that shows the population percentage of competitors from each school. $$ \begin{matrix} \text{High School} & \text{Science competition population} & \text{Overall student population}\\ \text{Alabaster} & \text{28.9\\%} & \text{8.6\\%}\\ \text{Concordia} & \text{7.6\\%} & \text{23.2\\%}\\ \text{Genoa} & \text{12.1\\%} & \text{15.0\\%}\\ \text{Mocksville} & \text{18.5\\%} & \text{14.3\\%}\\ \text{Tynneson} & \text{24.2\\%} & \text{10.1\\%}\\ \text{West End} & \text{8.7\\%} & \text{28.8\\%}\\ \text{Table 2.41}\\ \end{matrix} $$

Draw three lines under each lowercase letter that should be capitalized. the building on the corner of lake street and green avenue is called the columbus environmental center.

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1, as in Table E.2), what is the probability that

a. Z is less than 1.08?

b. Z is greater than -0.21?

c. Z is less than -0.21 or greater than the mean?

d. Z is less than -0.21 or greater than 1.08?

Perform each of the following steps.

a. Find the Spearman rank correlation coefficient. b. State the hypotheses. c. Find the critical value. Use $\alpha=0.05$. d. Make the decision. e. Summarize the results.

Use the traditional method of hypothesis testing unless otherwise specified. A police chief records the gender of the drivers who receive speeding tickets. Test the claim at $\alpha=0.05$ that the gender of the ticketed drivers is random.

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The federal nutrition guidelines prepared by the Center for Nutrition Policy and Promotion of the U.S. Department of Agriculture stress the importance of eating reduced amounts of meat to obtain a healthy diet. You have been asked to determine if the per capita consumption of meat at the county level are related to the percentage of adults with diabetes in the county. Data for this study are contained in the data file Food Nutrition Atlas, whose variable descriptions are found in the appendix.

Use any of the comparison tests to determine whether each series converges or diverges. $\sum_{k=1}^{\infty} \frac{1+3 \sqrt{k}}{k^{2}}$

Would you utilize an attribute-based or an attitude-based decision approach adopting a pet from a shelter? Which if any, situational factors would change your strategy?

Find the local maximum and minimum values of $f$ using both the First and Second Derivative Tests. Which method do you prefer?

$$f(x)=1+3 x^2-2 x^3$$

Determine whether the following series converge or diverge using the properties and tests introduced in the sections. $\sum_{k=1}^{\infty}\left(\frac{5}{6}\right)^{-k}$

Would you utilize an attribute-based or an attitude-based decision approach to purchasing (or renting) a personal trainer? Which if any, situational factors would change your strategy?