Flight 202's arrival time is normally distributed with a mean arrival time of 4: 30 p.m. and a standard deviation of 15 minutes. Determine the probability that a randomly chosen arrival time is within the given time period. After 4: 45 p.m.

Airplane flight plan An airplane flying at a speed of $400 \mathrm{mi} / \mathrm{hr}$ flies from a point $A$ in the direction $153^{\circ}$ for $1$ hour and then flies in the direction $63^{\circ}$ for $1$ hour.

How long will it take to get back to point $A$ ?

You allow 40 min to drive 25 mile to the airport, but you're caught in heavy traffic and average only 20 mile/h for the first 15 min. What must your average speed be on the rest of the trip if you're to make your flight?

The accompanying photo shows a KC-10A Extender using a boom to refuel an aircraft in flight. If the velocity of the $\mathrm{KC}$ $10 \mathrm{~A}$ is $125 \mathrm{~m} / \mathrm{s}$ due east relative to the ground, what is the velocity of the aircraft being refueled relative to the ground.

A man of mass $80 \mathrm{~kg}$ runs up a flight of stairs $20 \mathrm{~m}$ high in $10 \mathrm{~s}$. (a) how much power is used to lift the man? (b) If the man's body is $25 \%$ efficient, how much power does he expend?

It is observed that the skier leaves ramp A at an angle θ = 50 with the horizontal. If he strikes the ground at B, determine his initial speed V and the time of flight t.

(a) Show that the power output of an airplane cruising at con- stant speed $v$ in level flight is proportional to $v^3$. Assume that the aerodynamic drag force is given by $D=bv^2$. (b) By what factor must the engines' power be increased to increase the air speed by $25.0\%?$

On a recent flight between St. Louis and Los Angeles, one-fourth of the tickets sold were for seats in business class, one-tenth in first class, and the remaining 195 tickets were in coach class. How many tickets were sold altogether?

Choose the word or phrase that is most nearly opposite in meaning to the word in capital letters.

UNGAINLY
(A) sloppy
(B) rising
(C) possibly
(D) graceful

In Ovid's poem, how does Icarus fail to follow his father's advice?
$A$ He refuses to leave Crete.
$B$ He flies too near the sun.
$C$ He flies too close to his father.
$D$ He enjoys his flight.

Do the given.

Determine how long the projectile is in flight and the horizontal distance covered.

Tiger is playing golf. He hits a golf ball from the ground at an angle of $60^{\circ}$ with respect to the ground at velocity $150 \mathrm{ft}$ per sec.

The Boeing 727 aircraft of Example $9.8$ cruises at $520 \mathrm{mph}$ at $33,000 \mathrm{ft}$ altitude on a standard day. Calculate the cruise Mach number of the aircraft. If the maximum allowable operating Mach number for the aircraft is $0.9$, what is the corresponding flight speed?

The following condensed balance sheet is presented for the partnership of Der, Egan, and Oprins, who share profits and losses in the ratio of 4:3:3, respectively.

$$\begin{array}{lrlr} \text{Cash} & \$\hspace{5pt}40,000 & \text{Accounts Payable} & \$150,000\\ \text{Other Assets} & \text{710,000} & \text{Der, Capital} & \text{260,000}\\ && \text{Egan, Capital} & \text{180,000}\\ && \text{Oprins, Capital} & \text{160,000}\\ \hline \text{Total Assets} & \underline{\underline{\$750,000}} & \text{Total Liabilities \& Equity} & \underline{\underline{\$750,000}}\\ \end{array}$$

Assume that the partnership decides to admit Snider as a new partner with a 25 percent interest.

Required

Determine the amount that Snider must contribute in cash or other assets for the case below.

• The partners agree that total resulting capital should be $820,000 and no goodwill should be recognized.

The expected pretax return on three stocks is divided between dividends and capital gains in the following way:

$$\begin{array}{ccc} \underline{\textbf{Stock}}&\underline{\textbf{Expected Dividend}}&\underline{\textbf{Expected Capital Gain}}\\ \text{A}&\$\hspace{5pt}0&\$10\\ \text{B}&5&5\\ \text{C}&10&0\\ \end{array}$$

a. If each stock is priced at $100, what are the expected net returns on each stock to (i) a pension fund that does not pay taxes, (ii) a corporation paying tax at 35%, and (iii) an individual with an effective tax rate of 15% on dividends and 10% on capital gains? b. Suppose that investors pay 50% tax on dividends and 20% tax on capital gains. If stocks are priced to yield an 8% return after tax, what would A, B, and C each sell for? Assume the expected dividend is a level perpetuity.