Acredit card company receives numerous phone calls throughout the day from customers reporting fraud and billing disputes. most of these callers are put "on hold" until a company operator is free to them. the company has determined that the length of time a caller is on hold is normally distributed with a mean of 2.5 minutes and a standard deviation 0.5 minutes. if 1.5% of the callers are put on hold for longer than x minutes, what is the value of x?

The value of X is 3.6 minutes.

Step-by-step explanation:

We assume that the time on hold follows a normal distribution with

To calculate how many minutes the 1.5% of the customers are put on hold, we have to determine the z-value for this probability (P=0.015).

Looking in a z-table, the z value is 2.17:

This can be translated to our distribution as:

The value of X is 3.6 minutes.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: