The length of a rectangle is 4 inches longer than its width. if the perimeter of the rectangle is 48 inches, find its area.

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?

The quotient of 15 and a number is 1 over 3 written as an equation

Your weight on the moon is relative to your weight on earth. neil armstrong weighed 360 lbs. in his moon gear while on the earth, but on the moon he only weighed 60 lbs. how much would a 150 lb person weigh on the moon?