240 adults who own 4-door or 2-door cars were surveyed, and the results were recorded in this table. Are the events M = "is male" and S= "owns a 2-door" independent? Why or why not?

A) Yes; because P(M & S) = P(M) + P(S).
B) No; because P(M & S) ≠ P(M) + P(S).
C) Yes; because P(M & S) = P(M) · P(S).
D) No; because P(M & S) ≠ P(M) · P(S).

Acarpool service has 2,000 daily riders. a one-way ticket costs $5.00. the service estimates that for each $1.00 increase to the one-way fare, 100 passengers will find other means of transportation. let x represent the number of $1.00 increases in ticket price. choose the inequality to represent the values of x that would allow the carpool service to have revenue of at least $12,000. then, use the inequality to select all the correct statements. the maximum profit the company can make is $4,125.00. the maximum profit the company can make is $15,625.00. the price of a one-way ticket that will maximize revenue is $12.50. the price of a one-way ticket that will maximize revenue is $7.50.