Whenever Nicole rents a movie from iTunes, the probability that it will be a comedy is 52%. Of the next seven movies she rents,
1 answer:
Answer:
Step-by-step explanation:
Given: the probability that the movie rented by Nicole will be comedy is 52%.
To find: the probability that she rents NO MORE THAN two comedies
Solution:
Probability refers to chances of occurrence of some event.
Probability that the movie rented by Nicole will be comedy = 52% = 0.52
Probability that the movie rented by Nicole will not be comedy = 100% - 52% = 48% = 0.48
Probability that she rents NO MORE THAN two comedies = Probability that she rents no comedy movie + Probability that she rents one comedy movie + Probability that she rents two comedy movies
=
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<h2>Systems of Equations Word Problems</h2>
To solve these questions, we can translate key words into operations:
- <em>Difference</em> = subtract
- <em>Twice</em> = double
- <em>Less than</em> = subtract
We're given:
- Difference of Annie's age and twice Carl's age is 22
- Annie's age is 13 less than 3 times Carl's age
There are two variables given two us: Annie's age and Carl's age.
- Let Annie's age be equal to <em>x.</em>
- Let Carl's age be equal to <em>y</em>.
Translate the given information into two equations:
- Difference of Annie's age and twice Carl's age is 22
⇒
- Annie's age is 13 less than 3 times Carl's age
⇒
Now, we can substitute the fist equation into the second one to solve for <em>y</em>:
Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:
Therefore, Grandma Annie is 92 years old.