On the first trip to Carmel traveling on the freeway, marge averaged 50 mph. On the rest of the trip, which was 15 mi longer than the first , she averaged 40 mph. Find the total distance to Carmel if the second part of the trip took 30 minutes more than the first part.

For the rule of 78, for a 12-month period, the last term in the sequence is 12 and the series sums to 78. for an 10 month period, the last term is and the series sum is . for a 15 month period, the last term is and the series sum is . for a 20 month period, the last term is and the series sum is

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

What are the solutions of the system? solve by graphing. y = -x^2 - 3x + 2 y = -2x + 2