A) Jack works out 25 x 14.2 without a calculator. Here is his working. 10 x 14.2 = 14.20

20 x 14.2 = 28.40

5 x 14.2 = 71

25 x 14.2 = 28.40 + 71 = 99.40

Jack's working is incorrect.

Identify and (only) correct the lines containing a mistake to work out

the correct answer.

[3]

Plot a point at the y-intercept of the following function on the provided graph. 3y=-5x+7 20 points

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?

Which graph represents the linear function below? y-3=1/2(x+2)