MATHEMATICS HIGH SCHOOL

A and B are independent events. Which equation below must be true?A. P(A) = P(B)
B. P(A | B) = P(A)
C. P(A ∩ B) = P(A)
D. P(B) = P(A | B)

Answers

Answer 1
Answer:

Answer:  The correct option is (B)  P(A | B) = P(A)

Step-by-step explanation:  Given that A and B are independent events.

We are to select the TRUE  statement from the given options.

We know that

if two events A and B are independent events, then the probability of the intersection of A and B is equal to the product of the probabilities of the events A and B.

That is,

P(A\cap B)=P(A)* P(B).

Now, the conditional probability of event A given that event B has already occured is given by

P(A/B)=(P(A\cap B))/(P(B))=(P(A) * P(B))/(P(B))=P(A).

Thus, the correct statement is  P(A | B) = P(A).

Option (B) is CORRECT.
Answer 2
Answer: A and B are independent events. The equation below that must be true is P(A | B) = P(A). The answer is letter B. The rest of the choices do not answer the question above.

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What is the exact volume of the cone 4 in and 7 in

Answers

Answer: V=205.25 cubic inches.

Step-by-step explanation:

For the given cone height = 4 in and radius= 7 in .Volume of any cone can be calculated by the formula :

V=(1)/(3) \pi r^(2) h

Substituting the values of r and h we have:

V=(1)/(3) \pi 7^(2) .4

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Rewrite 7(40 + 2) as the sum of two products.

Answers

7*40+7*2 will be your answer.. :)
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The radius of a sphere is 6 centimeters. Which is the volume of the sphere?

Answers

the answer is in the file below
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Peaches come in large and small cylindrical cans. The larger can has a radiusand height that are both four times longer than the radius and height of thesmaller can. If the volume of the smaller can is 32.16 in what is the volume ofthe larger can?O A. 385.92 in 3O B. 257.28 in3O C. 128.64 inO D. 2058.24 in

Answers

Answer:

D. 2058.24 in³

Step-by-step explanation:

Let r,h be the radius and height of smaller can and R,H be the radius and height of larger can

Then, R=4r  and H=4h

Volume of smaller can=32.16 in³

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D. 2058.24 in³

Answer:


The answer is D

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Hello,

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