The set of life spans of an appliance is normally distributed with a mean mc012-1.jpg = 48 months and a standard deviation mc012-2.jpg = 8 months. what is the z-score of an appliance that stopped working at 64 months?

The z-score of an appliance that stopped working at 64 months is 2

Step-by-step explanation:

We know that,

where,

Z = Z score,

X = raw score = 64

μ = mean = 48

σ = standard deviation = 8

Putting the values,

Therefore, the z-score of an appliance that stopped working at 64 months is 2.

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.

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: