Look at the photograph closely. Then, answer the following question.

What does this photograph demonstrate about people's ambitions in New York City during the early 1930s? Explain.

A long, straight telephone cable contains six wires, each carrying a current of $0.300 \mathrm{~A}$. The distances between wires can be neglected.
(a) If the currents in all six wires are in the same direction, what is the magnitude of the magnetic field $2.50$ r from the cable?
(b) If four wires carry currents in one direction and the other two carry currents in the opposite direction, what is the magnitude of the field $2.50 \mathrm{~m}$ from the cable?

Drawing Conclusions What conclusion(s) can you draw from the fact that Tammany Hall dominated New York City for more than 50 years?

A large earthquake occurred at $45^{\circ} \mathrm{N}, 75^{\circ} \mathrm{W}$ on September 5,1994 . Which location in New York: State was closest to the epicenter of the earthquake?

(1) Buffalo:

(2) Massena

(3) Albany

(4) New York City

The weight of DDT in a pile of contaminated soil is given by $W_{t}=1800 \times(0.95)^{t}$ grams, where t is the number of years since the soil was contaminated. Find the initial quantity of DDT which contaminated the soil.

Answer in two or three sentences.

How would a club's esprit de corps be affected if its president were a martinet?

Graph the syst em of linear inequalities and indicat e the solution set. \

$$x \leq 0 \\ y \leq 0$$

Look up 'London buildings collapse as a result of nightly German bombing' picture on the internet .Examine the photo showing the destruction caused by the Luftwaffe's bombing raids on London. Explain how this strategy of Hitler's hurt, rather than helped, Germany's efforts.

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?

Fourteen of 180 publicly traded business services companies failed a test for compliance with Sarbanes-Oxley requirements for financial records and fraud protection. Assuming that these are a random sample of all publicly traded companies, construct a 95 percent confidence interval for the overall noncompliance proportion. See The New York Times, April 27, 2005, p. BU5.

The average new car cost (in dollars) for selected years from 1980 to 2005 is given in the table.

$$\begin{array}{|l|llllll|} \hline \text { Year } & 1980 & 1985 & 1990 & 1995 & 2000 & 2005 \\ \hline \text { cost } & 7500 & 12,000 & 16,000 & 20,450 & 24,900 & 28,400 \\ \hline \end{array}$$

a. Find a linear equation for the average new car cost in terms of x, the number of years since 1980, using the data for 1980 and 2005. b. Repeat part a, using the data for 1995 and 2005. c. Find the equation of the least squares line using all the data. d. Use a graphing calculator to plot the data and the three lines from parts a-c. e. Discuss which of the three lines found in parts a-c best describes the data, as well as to what extent a linear model accurately describes the data. f. Calculate the correlation coefficient.

Which New York State location is most likely to experience the heaviest winter snowfall when the surface winds are blowing from the west or north-west?

(1) New York City

(2) Binghamton

(3) Oswego

(4) Plattsburgh

Trace metals found in wells affect the taste of drinking water, and high concentrations can pose a health risk. Researchers measured the concentration of zinc (in milligrams per liter, or mg/l) near the top and the bottom of 10 randomly selected wells in a large region. The data are provided in the table.

$$\begin{array}{|l|c|c|c|c|c|} \hline \text { Well } & 1 & 2 & 3 & 4 & 5 \\ \hline \text { Bottom } & 0.430 & 0.266 & 0.567 & 0.531 & 0.707 \\ \hline \text { Top } & 0.415 & 0.238 & 0.390 & 0.410 & 0.605 \\ \hline \text { Well } & 6 & 7 & 8 & 9 & 10 \\ \hline \text { Bottom } & 0.716 & 0.651 & 0.589 & 0.469 & 0.723 \\ \hline \text { Top } & 0.609 & 0.632 & 0.523 & 0.411 & 0.612 \\ \hline \end{array}$$

Make a dotplot of the differences (Bottom - Top) in the zinc concentrations for these 10 wells. What does the graph reveal?

A research firm claims that $62 \%$ of women in the 40-49 age group save in a $401(\mathrm{k})$ or individual retirement account. If we wished to test whether this percentage could be the same for women in this age group living in New York City and selected a random sample of 300 such individuals from New York, what would be the null and alternative hypotheses? Would the test be a $z$-test or a $t$-test? Why?