Atruck can be rented from company a for $130 a day plus $0.20 per mile. company b charges $70 a day plus $0.30 per mile to rent the same truck. find the number of miles in a day at which the rental costs for company a and company b are the same.

1foot = 12 inches; 1 yard = 3 feet

How many solutions does the nonlinear system of equations graphed below have? a. one b. zero c. four d. two

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?