A Department of Transportation report about air travel found that, nationwide, 76% of all flights are on time. Suppose you are at the airport and your flight is one of 50 scheduled to take off in the next two hours. Can you consider these departures to be Bernoulli trials? Explain.

A Department of Transportation report about air travel found that airlines misplace about 5 bags per 1000 passengers. Suppose you are traveling with a group of people who have checked 22 pieces of luggage on your flight. Can you consider the fate of these bags to be Bernoulli trials? Explain.

An Olympic archer is able to hit the bull’s-eye 80% of the time. Assume each shot is independent of the others. If she shoots 6 arrows, what’s the probability of each of the following results? a) Her first bull’s-eye comes on the third arrow. b) She misses the bull’s-eye at least once. c) Her first bull’s-eye comes on the fourth or fifth arrow. d) She gets exactly 4 bull’s-eyes. e) She gets at least 4 bull’s-eyes. f) She gets at most 4 bull’s-eyes.

Write the equation in standard form, if it is not already so, and graph it. If the graph is a circle, give the coordinates of its center and its radius. If the graph is a parabola, give the coordinates of its vertex.

$$( x - 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 36$$

Choose the best antonym for each word in capital letters. Remember that an antonym is a word with the opposite meaning of another word.

RELAPSE: (a) deterioration (b) improvement (c) forgetfulness

A Department of Transportation report about air travel found that airlines misplace about 5 bags per 1000 passengers. Suppose you are traveling with a group of people who have checked 22 pieces of luggage on your flight. Can you consider the fate of these bags to be Bernoulli trials? Explain.

Sketch the parametric curve and eliminate the parameter to find the Cartesian equation of the curve. $x = \sin \theta$, $y = 1 - \csc \theta$, $0 \leq \theta \leq 2 \pi$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

$$7 ^ { \frac { 1 } { 2 } } \cdot 7 ^ { \frac { 1 } { 2 } } = 49$$

The half-life of tritium is 12.4 years. How long will it take for 25% of a sample of tritium to decompose?

Find the lengths of the functions of x over the given interval. If you cannot evaluate the integral exactly, use technology to approximate it. $y = \frac { 1 } { 3 } \left( x ^ { 2 } + 2 \right) ^ { 3 / 2 } \text { from } x = 0 \text { to } x = 1$

According to a September 2012 Nielsen study, 58% of teenagers (age 13-18) have a smartphone. If we select 8 teenagers at random, find the probability of each outcome described below. The first smartphone owner is the fourth person chosen.

A consumer organization inspecting new cars found that many had appearance defects (dents, scratches, paint chips, etc.). While none had more than three of these defects, 7% had exactly three, 11% exactly two, and 21% only one defect. Find the expected number of appearance defects in a new car and the standard deviation.

If you draw a card at random from a well-shuffled deck, is getting an ace independent of the suit? Explain.

Raaj works at the customer service call center of a major credit card bank. Cardholders call for a variety of reasons, but regardless of their reason for calling, if they hold a platinum card, Raaj is instructed to offer them a double-miles promotion. About 10% of all cardholders hold platinum cards, and about 50% of those will take the double-miles promotion. On average, how many calls will Raaj have to take before finding the first cardholder to take the doublemiles promotion?