Suppose the population of a city is expanding rapidly. What are some precautions the city could take to protect its groundwater supply?

A plane leaves London for Boston, a distance of 5200 km, at 09 45. The plane travels at an average speed of 800 km/h. If Boston time is five hours behind British time, what is the time in Boston when the aircraft lands?

A city has a population of 175,000 residents. The population of the city is increasing at the rate of 4% per year. Another city has a population of 300,000 residents. The population of that city is decreasing at a rate of 2% per year. Give an exponential model to represent the situation.

A y = 300,000$(1.02)^x$

B y = 300,000 (0.98)x

C y = 300,000$(0.98)^x$

D y = 0.98$(300,000)^x$

a) How did geography pose a challenge to the Incas as they built their empire?

b) How did they meet this challenge?

c) What does this suggest about the level of government and learning among the lncas?

Repeat previous Exercise for the case in which the probabilities of city 1 and city 2 being successful are 0.4 and 0.25, respectively.

In "My City," what question does the speaker ask and answer?

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?

How were the city-states of Renaissance Italy governed? What social classes were present in the typical city-state?

The temperature varies indirectly as the distance from the city. The temperature equals $3^{\circ} \mathrm{C}$ when the distance from the city is 40 miles. What is the temperature when the distance is 20 miles from the city?

An example of a jurisdiction a. a month b. a dinner c. a planet d. a city

The minute hand of a clock face on the tower known as Big Ben in London is 4.2 m long. Use this information. What is the angular velocity of the minute hand? How do you know?

A fast-food restaurant chain has 600 outlets in the United States. The following table categorizes cities by size and location, and presents the number of restaurants in cities of each category. A restaurant is to be chosen at random from the 600 to test market a new style of chicken.

$$\begin{array}{lrrrr} \hline & & & {\text { Region }} \\ \hline \text { Population of City } & \text { NE } & \text { SE } & \text { SW } & \text { NW } \\ \hline \text { Under } 50,000 & 30 & 35 & 15 & 5 \\ 50,000-500,000 & 60 & 90 & 70 & 30 \\ \text { Over } 500,000 & 150 & 25 & 30 & 60 \\ \hline \end{array}$$

a. If the restaurant is located in a city with a population over 500,000, what is the probability that it is in the Northeast? b. If the restaurant is located in the Southeast, what is the probability that it is in a city with a population under 50,000? c. If the restaurant is located in the Southwest, what is the probability that it is in a city with a population of 500,000 or less? d. If the restaurant is located in a city with a population of 500,000 or less, what is the probability that is in the Southwest? e. If the restaurant is located in the South (either SE or SW), what is the probability that it is in a city with a population of 50,000 or more?

Which substance involves no bonding forces except London dispersion forces?

A) NaCI(l)

B) HF(l)

C) N2(s)

D) H2O(l)

E) K(s)

In 2005 the U.S. Census Bureau reported that 68.9% of American families owned their homes. Census data reveal that the ownership rate in one small city is much lower. The city council is debating a plan to offer tax breaks to first-time home buyers in order to encourage people to become homeowners. They decide to adopt the plan on a 2-year trial basis and use the data they collect to make a decision about continuing the tax breaks. Since this plan costs the city tax revenues, they will continue to use it only if there is strong evidence that the rate of home ownership is increasing. a) In words, what will their hypotheses be? b) What would a Type I error be? c) What would a Type II error be? d) For each type of error, tell who would be harmed. e) What would the power of the test represent in this context?