Let X = the number of nonzero digits in a randomly selected 4-digit PIN that has no restriction on the digits. What are the possible values of X? 0, 1, 2, 3, 4 1, 2, 3, 4 0, 1, 2, 3 0, 1, 2, 3, 4, ... 1, 2, 3, 4, ... For the following possible outcomes, give their associated X values.

In the set {0,1,2,3,4}

The possibile 4 digits are; (1,2,3,4), non zero digit X = 4.

(0,2,3,4), non zero digit X = 3.

(1,0,0,4), non zero digit X = 2.

(0,0,0,4), non zero digit X = 1.

(0,0,0,0), non zero digit X = 4.

Step-by-step explanation:

X is the number of non-zero digits in each of the possible outcomes

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: