You have a cellphone plan that cost $29.99 for the firs 200 hundred minutes each mont After that one months bill was $40.79 how long did you talk on the phone.

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?

If the alternate hypothesis of an experiment is “the true mean height of the giraffes is more than 15 feet” what is the null hypothesis?

Awalker is already walking 5km per day and decides to increase this amount by 0.1km per day starting on 1st august. what distance will he be walking on 3rd august? b. is this an arithmetic sequence? explain your reasoning. c. what is the formula for the nth term?