Find the value of z such that 0.04 of the area lies to the left of z. Round your answer to two decimal places.

The value of z is -1.75.

Step-by-step explanation:

Given: P(Z<z)=0.04

To find the value of z such that 0.04 of the area lies to the left of z.

We will use z-score table to get the value of z here.

IN z-score table, we have

For P(Z<-1.7507)=0.04

Hence, the value of z is -1.7507.

Its approximate value is -1.75

So the final answer is z=-1.75.

C. The graph of g(x) is the graph of compressed vertically.

Step-by-step explanation:

Only a change from negative to positive or positive to negative can flip the graph. This doesn't have that change so only B and C are options. Remember when a number less than 1 is multiplied to the function, it compresses and gets wider. When a number greater than 1 is multiplied to the function, it stretches and gets narrow. This is 2/5 which is smaller than 1. So C is the correct answer.