A three-character password is to be created by choosing characters from the digits 0 through 5 inclusive, vowels (a, e, i, o, u), or 5 special keyboard characters. If only one character category can be used at a time, rank the following from smallest to largest based on the number of possibilities for a password. 1. digit, digit, vowel
2. vowel, special character, vowel
3. special character, vowel, digit
a.
1, 3, 2
b.
2, 3, 1
c.
3, 2, 1
d.
They are all equal.

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:

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