Please help my grade depends on this For questions 1-4, use the function to write new functions, , that have the f(x)=x^2―2 g(x)indicated transformations of f(x) .(2 pts each)

1. f (x)―2 g (x)=

2. f(―x) g (x)=

3. f(x+3) g (x)=

4. 4f(x) g(x)=

The parabola opens: y=√x-4 (principal square root) up down right left

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?

What is the length of the midsegment of a trapezoid with bases of length 15 and 25 ?