Estimate the number of piano tuners living in New York City. This question was raised by the physicist Enrico Fermi, who was well known for making order-of-magnitude calculations.

New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night. Suppose that room rates are normally distributed with a standard deviation of $55.

b. What is the possibility that a hotel room costs less than $140 per night?

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?

New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night. Suppose that room rates are normally distributed with a standard deviation of $55.

a. What is the possibility that a hotel room costs $225 or more per night?

Write expressions representing the quantities described.

The number of people living in a city increases from $P_0$ by a factor of $r$ for 4 years, and then by a factor of $s$ for 7 years.

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

The population of a city is 2,500. If the number of males is 240 more than the number of females, how many males and females are there in the city?

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.

Use the pottery shown below. This pottery was created by the Acoma Indians. The Acoma pueblo is America's oldest continually inhabited city. Identify any frieze patterns on the pottery.

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?

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.

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.

Decide whether the two events listed are independent.

R is the event that it rains in the Amazon jungle and H is the event that an instructor in New York City writes a difficult exam.

Tyrell especially dislikes rainy days! He decides to collect data on the record 24 -hour rainfall in January in each city. The table shows the data.

$$\begin{array} { | c | c | } \hline \text { January Rainfall } \\ \hline \text { city } & { \text { Record } 24 - \text {Hour Rainfall (in.)} } \\ \hline \text { Tacoma, wa } & { \frac { 5 } { 2 } } \\ \hline \text { Duluth, MN } & { \frac { 6 } { 5 } } \\ \hline \text { Bangor, ME } & { \frac { 14 } { 5 } } \\ \hline \end{array}$$

Explain how you can compare the three rainfall amounts. Then plot and label a point on the number line to represent the record rainfall for each city.