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3 years ago

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Information was collected on those who attended the opening of a new movie. The analysis found that 56 percent of the moviegoers

were female, 26 percent were under age 25, and 17 percent were females under the age of 25. Find the probability that a moviegoer is either female or under age 25.Information was collected on those who attended the opening of a new movie. The analysis found that 56 percent of the moviegoers were female, 26 percent were under age 25, and 17 percent were females under the age of 25. Find the probability that a moviegoer is either female or under age 25.

1 answer:

nalin [4]3 years ago

6 0

Answer:

0.65 = 65%

Step-by-step explanation:

56% of the moviegoers were female: P(F) = 0.56

26% were under age 25: P(25-) = 0.26

17% were females under the age of 25: P(F ∩ 25-) = 0.17

Probability that a moviegoer is either female or under age 25: P(F ∪ 25-) = ?

We know that P (A ∪ B) = P(A) + P(B) - P(A ∩ B), so:

P(F ∪ 25-) = P(F) + P(25-) - P(F ∩ 25-) = 0.56 + 0.26 - 0.17 = 0.65

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Answer:

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Step-by-step explanation:

We are given $h=1+2s$ where $h$ is the hypotenuse and $s$ is the length of the shorter leg.

We got this equation from reading that the "hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg". I replaced the "hypotenuse of a triangle" with $h$ , "is" with $=$ , "1 foot more than" with $1+$ and finally "twice the length of the shorter leg" with $2s$ .

We also have "longer leg is 7 feet longer than the shorter leg".

I'm going to replace "longer leg" with $L$ .

I'm going to replace "is" with $=$ .

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Let's make some substitutions from above:

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Let's expand the powers using:

$(a+b)^2=a^2+2ab+b^2$

Applying this now:

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