Determine whether the events e and f are independent or dependent. justify your answer. ) : a person attaining a position as a professorattaining a position as a professor. : the same person attaining a phdattaining a phd.

When someone buys a fourth television for his or her house, what is the result? a. there's a decrease in the marginal utility of the television. b. the increase in demand brings leads to higher prices for televisions. c. the production of televisions becomes more efficient. d. there's a rise in the opportunity cost of buying other goods.

Under t, the point (0,2) gets mapped to (3,0). t-1 (x, y) →

Which is cheaper: eating out or dining in? the mean cost of a flank steak, broccoli, and rice bought at the grocery store is $13.04 (money. msn website, november 7, 2012). a sample of 100 neighborhood restaurants showed a mean price of $12.75 and a standard deviation of $2 for a comparable restaurant meal. a. develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean cost of a restaurant meal is less than fixing a comparable meal at home. b. using the sample from the 100 restaurants, what is the p-value? c. at a = .05, what is your conclusion? d. repeat the preceding hypothesis test using the critical value approach