Vera examined a random sample of deodorants distributed by her company. she found the following probabilities:

p(for men)=0.55
p(botanic scent)=0.18
p(for men and botanic)=0.05

find the probability that a deodorant is for men, given that it has a botanic scent.

0.28

Step-by-step explanation:

We are given that

P(for men)=0.55

P(Botanic scent)=0.18

P(for men and botanic )=0.05

We have to find the probability that a deodorant is for men given that it has a botanic scent.

i.eP(For men/Botanic scent)

Conditional probability:

Using the formula

P((For men/Botanic scent)=

P(For men/Botanic scent)=

P(For men/Botanic scent)=0.28

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi