One of the tall pine trees was bend over in the last snow storm. A 25 foot cable is connected to the main trunk of the tree at a height of 24 feet above the level ground. How far from the base of the tree does the cable need to be secured to allow the tree to be perpendicular to the ground? The cable needs to be secured in the ground

feet from the base of the tree.

Rectangle leg this 11feet and perimeter of 38feet what is the width of the rectangle in feet

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?

Look at the chart showing the results of a baseball player at bat. which is the probability of getting a hit?