A plane crosses the Atlantic Ocean (3000 miles) with an airspeed of 500 miles per hour. The cost C (in dollars) per passenger is given by C(x) = 50 + + x 7 34,000 x where x is the ground speed (airspeed ± wind). (a) What is the cost when the ground speed is miles per hour; miles per hour? 470 590 (b) Find the domain of C. (c) Use a graphing calculator to graph the function C = C(x). (d) Create a TABLE with TblStart = 0 and Tbl = 50. (e) To the nearest 50 miles per hour, what ground speed minimizes the cost per passenger?

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)