A group of people were asked, “If you had a choice of an SUV or a sports car, what would you choose?” Of those surveyed, 30% were men, 70% were women. Of the women surveyed, 60% would choose an SUV. If a person is selected at random, what is the probability the person is a woman who would choose an SUV?

42%

Step-by-step explanation:

Lets assume there were a total of 100 people (it will make calculations much easier).

Given, 30% men and 70% women, so we can say:

30% of 100 = 30 Men

70% of 100 = 70 Women

OF THE WOMEN SURVEYED, 60% of those prefer SUV. So,

60% of 70 (women) prefer SUV,

60/100 * 70 = 0.6 * 70 = 42 Women prefer SUV

We need probability of Woman prefering SUV from TOTAL, so that would make it:

42/100 = 0.42

Converting to percentage:

0.42 * 100 = 42%

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is