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4 years ago

Which statements describe a triangular prism? Select three options.

Mathematics

1 answer:

zubka84 [21]4 years ago

5 0

E it’s lateral faces are reactangular

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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:

Conditional Probability

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:

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

4 0

3 years ago

How do you factor a^2×b - b^3

Paraphin [41]

Answer:

b(a - b)(a + b)

Step-by-step explanation:

Given

a²b - b³ ← factor out b from each term

= b(a² - b²) ← a² - b² is a difference of squares

= b(a - b)(a + b)

3 0

3 years ago

Please answer this correctly

Rudiy27

Answer:

The left graph

Step-by-step explanation:

Well the first big difference you see is that the right graph has 5 pieces of data between 10-19 and the left only has one. We actually only have one piece of data between 10-19 so our answer is the left graph.

7 0

3 years ago

Factor completely 18b-12 Enter your answer in the boxes _____(_____)

umka21 [38]

6b(3-2)
is the answer for your question

3 0

4 years ago

24x – 22 = -4(1 – 6x) The answers are X=0 X=18 No solution All real answers

Aleonysh [2.5K]

Answer:

24×0-22 = -4(1-*#

wat is the queation

3 0

3 years ago