It usually takes Mary 6 hours to do the cleaning that Jane can do in 5 hours and Ellen can do in 4 hours. If Jane and Ellen agree to help Mary so that they can all go on a picnic, how long will it take them to do the
cleaning?
(Use an equation)

Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*

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 actual length of side t is 0.045cm. use the scale drawing to find the actual side length of w