5. A formula for solving work problems involving two people was shown in the movie clip and proven in #1. Is there a formula for three people? a) You cannot assume the product of the rates divided by the sum will work for 3 or more people. Using the rates from question #4, show that the amended formula below does not give you the same answer as question #4. X = abc /a + b + c b) Take the formula 1/a+1/b+1/c=1/x and solve for x. (HINT: This formula will not match the formula in part 5a) c) Using the new formula, verify the solution of question #4.

At a sale this week, a desk is being sold for $213. this is a 29% discount from the original price. what is the original price?

Whit h equation best represents this situation the number 98 increased by an unknown number equal to 120

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?