Amanufacturer of rechargeable laptop batteries markets its batteries as having, on
average, 500 charges. a consumer group decides to test this claim by assessing the
number of times 30 of their laptop batteries can be recharged and finds the average is 497, with a standard deviation of 10.the resulting p-value is .; thus, the null hypothesis is not rejected. the consumer group concludes that the manufacturer.

Find the value of x. round the length to the nearest tenth

What is the solution to the system of equation graphed belowa.(0,-4)b.(2,5),1),-3)

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?