Subject : Pythagorean Theorem For each question, solve for the length of the unknown side, as denoted by the variable. You may round your answers to the nearest tenth, if necessary. Make sure you show all steps needed to solve the problem.

For each question, solve for the length of the unknown side, as denoted by the variable. You may round your answers to the nearest tenth, if necessary. Make sure you show all steps needed to solve the problem.

What is the volume of a cone with a height of 6 cm in the radius of 2 cm

In an improper fraction, is the numerator equal to, less than, or greater than the denominator

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?