If you flip a coin and roll a 6-sided die, what is the probability that you will flip a heads and roll a 2 ?

1/12

Step-by-step explanation:

When you flip a coin, there are two possible outcomes. When you roll a die there are six possible outcomes. This means the chances of getting a heads is 1/2 and the chances of rolling a 2 are 1/6. To find the probability that both will occur, multiply the two probabilities: 1/6 * 1/2 = 1/12

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: