You draw a marble from a bag that has 4 red, 2 blue, and 3 green, you also fllp a fair coin, What
is the probability you will draw a blue marble and flip a heads?

¹/9  

Step-by-step explanation:

Of the total marbles (4 + 2 + 3) = 9 , the number of blue marbles is 2. The probability of drawing out a blue marble is therefore ²/9

A coin has two sides – therefor two possibilities in a toss (heads or tails). The probability of tossing either is therefore ½.

We MULTIPLY two probabilities when both conditions need to be satisfied at the same time. Therefore;

²/9 * ½ = ²/18

= ¹/9  

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: