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3 years ago

5

Jenna has a piece of paper that is 84 square inches in area. it is 10 1/2 inches long. what is the length of the piece of paper

in square inches

1 answer:

11Alexandr11 [23.1K]3 years ago

6 0

I hope this helps you

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In a class of 28 students, 11 have a brother and 9 have a sister. There are 2 students

Westkost [7]

Answer:

$\displaystyle P(A\mid B)=\frac{2}{11}$

Step-by-step explanation:

<u>Conditional Probability</u>

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event B has occurred, then the probability that event A occurs is given by:

$P(A\mid B)={\frac {P(A\cap B)}{P(B)}}$

Where $P(A\cap B)$ is the probability that both events occur and P(B) is the probability that B occurs.

Let's define events A and B for the question. There are 11 students that have a brother and 9 that have a sister. Two of those students have a brother and a sister.

We are given the fact that the selected student has a brother: this is the event that has already occurred, thus:

B = A student has a brother

A = A student has a sister

The probability that a student has a brother is:

$\displaystyle P(B)=\frac{11}{28}$

The probability that the student has a brother and a sister is:

$\displaystyle P(A\cap B)=\frac{2}{28}$

Thus, the conditional probability is:

$P(A\mid B)={\frac {\frac{2}{28}}{\frac{11}{28}}}$

Simplifying:

$\mathbf{\displaystyle P(A\mid B)=\frac{2}{11}}$

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Adding another card with value $25 would decrease the standard deviation because it is closer to the mean the the current standard deviation.

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