In a study by the Department of Transportation, there were a total of 95 drivers that were pulled over for speeding. Out of those 95 drivers, 33 were men who were ticketed, 8 were men who were not ticketed, 7 were women who were ticketed, and 47 were women who were not ticketed. Suppose one person was chosen at random. 1. What is the probability that the selected person is someone who was not ticketed, given it is a woman?
2. What is the probability that the selected person is someone who was not ticketed, given it is a man?
Enter your answers as whole numbers or fractions in lowest terms.

1) 47/54 probability that the selected person is someone who was not ticketed, given it is a woman.

2) 8/41 probability that the selected person is someone who was not ticketed, given it is a man.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

1. What is the probability that the selected person is someone who was not ticketed, given it is a woman?

7 + 47 = 54 total woman

47 were not ticketed. So

47/54 probability that the selected person is someone who was not ticketed, given it is a woman.

2. What is the probability that the selected person is someone who was not ticketed, given it is a man?

33 + 8 = 41 men.

8 were not ticketed. So

8/41 probability that the selected person is someone who was not ticketed, given it is a man.

y = 0.77(x)

step-by-step explanation:

the jacket retains this value after 23% cut or retains 77% of original value. plug original 87 jacket price for x and the remaining value should be y.

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: