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Mathematics 8 Online
OpenStudy (anonymous):

Three hundred high school seniors were surveyed about their intended college majors. The results are displayed in the Venn Diagram below: A Venn Diagram titled College Majors with two circles labeled Math and Science. In the math portion is 120. In the intersection is ??. In the Science portion is 50. The area outside the two circles is labeled 100. If a student is randomly selected from the group, what is the probability that they are majoring in both math and science? Round your answer to the nearest whole percent.

OpenStudy (anonymous):

10% 17% 33% 40%

Vocaloid (vocaloid):

hint: 120 + 50 + (intersection) + 100 = 300 intersection = ?

OpenStudy (anonymous):

I'm not sure @Vocaloid

Vocaloid (vocaloid):

start by adding the numbers together

Vocaloid (vocaloid):

120 + 50 + 100 = ?

OpenStudy (anonymous):

270 @Vocaloid

Vocaloid (vocaloid):

good so 270 + intersection = 300 intersection = ?

OpenStudy (anonymous):

30

OpenStudy (anonymous):

@Vocaloid

Vocaloid (vocaloid):

good now find intersection/total number of students

OpenStudy (anonymous):

is that 30/270 ? @Vocaloid

OpenStudy (texaschic101):

it is 30/300...now turn into a percent

OpenStudy (anonymous):

that would be 10%

OpenStudy (texaschic101):

yes it would :)

OpenStudy (anonymous):

so that's the correct answer

OpenStudy (texaschic101):

yes

OpenStudy (anonymous):

thank you

OpenStudy (texaschic101):

glad to help :)

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