In a group of 20 people who like rock, country, and classical music, 14 like rock, 17 like classical, 11 like both rock and country, 9 like both rock and classical, 12 like both country and classical, and 8 like rock, country, and classical.
how many like country

There are 13 people who like country music.

Step-by-step explanation:

Since we have given that

Number of people who like rock n(A) = 14

Number of people who like classical n(B) = 17

Let the number of people who like country n(C) be 'x'.

Number of people who like both rock and country = 11

Number of people who like both rock and classical = 9

Number of people who like both country and classical = 12

Number of people who like rock, country and classical = 8

As we know the formula:

n(A∪B∪C)=n(A)+n(B)+n(C)-n(A∩B)-n(B∩C)-n(C∩A)+n(A∩B∩C)

Hence, there are 13 people who like country music.

the answer is 0.3175 hope that you ^w^

also you might actually want to put this picture up if you want people to solve it luckily i remember this question

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!