Prove algebraically that the recurring decimal 0.12 = 3 Write your proof in the box, below, and use x in the working.
The concluding line has been written for you.
Therefore x =8/11

Write the sine and cosine values of a, b, respectively, in the figure for (1) and (2) + explanation.

Complete the input-output table for the linear function y = 3x. complete the input-output table for the linear function y = 3x. a = b = c =

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?