Randy has 4 pennies, 2 nickles, and 3 dimes in his pocket. if he randomly chooses 2 coins, what is the probability that they are both dimes if he doesn’t replace the first one?

1/12

Step-by-step explanation:

This is a case of joint probability.

There are a total of (4 + 2 + 3) coins in his pocket:  9 coins.

The prob. of his choosing a dime on the first selection is 3/9, or 1/3, since there are 3 dimes out of a total of 9 coins.

Now there are 8 coins, 2 of which are dimes.  The prob. of choosing a dime on the 2nd selection is 2/8, or 1/4.

The joint probability is thus (1/3)(1/4) = 1/12.

450

step-by-step explanation:

you get texts and minutes, so why not

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: