In a group of 50 people, 38 are women, 23 have dark hair. 16 are women with dark hair. One person is selected. What is the probability the person is a man with dark hair?

Probabilty that the person is a man with dark hair = 0.14.

Step-by-step explanation:

38 are women (given)

So, 50 - 38 = 12 are men.

23 have dark hair and 16 are women with dark hair (given)

So, 23 - 16 = 7 men with dark hair.

Thus, probability = number of men with dark hair / number of people

Probability = 7 / 50 = 0.14

P ( WD ) = 0.14

Step-by-step explanation:

Solution:-

- In the given group we have total , T = 50 people

- Number of women , W = 38

- Number of men, M = T - W = 50 - 38 = 12

- People with dark hair, D = 23

- Women with dark hair, WD = 16

- Men with dark-hair, MD = D - WD = 23 - 16 = 7

- The probability of selecting a person who is a man with dark hair is:

                       P ( WD ) = Possible men with dark hair / Total people in group

                       P ( WD ) = WD / T

                       P ( WD ) = 7 / 50

                       P ( WD ) = 0.14

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)