You randomly choose a letter from a hat with the letters A through J. Without replacing the first letter, you choose a second letter. What is the probability of choosing a vowel and then a consonant?

21/100

Step-by-step explanation:

Letters:  ABCDEFGHIJ  10 letters

Vowels: AEI  3

P (vowel)= vowels/ total = 3/10

No replacement  ( assume the letter taken was a

Letters:  BCDEFGHIJ  9 letters

Consonants : BCDFGHJ  7 letters

P(constant) = 7/10

P(vowel, no replacement, consonant) =P (vowel)*P(constant)

                                                               =3/10*7/10

                                                               =21/100

7/30

Step-by-step explanation:

3 vowels (A,E,I)

7 consonants

3/10 × 7/9

7/30

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: