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3 years ago

Find the missing probability.

Mathematics

1 answer:

LekaFEV [45]3 years ago

6 0

<h3>Answer: P(B) = 7/20</h3>

==========================================

Work Shown:

Given info

P(A) = 7/20

P(A∩B)=49/400

P(B) = unknown

--------------------

P(A∩B) = P(A)*P(B), assuming A and B are independent events

49/400 = (7/20)*P(B)

(7/20)*P(B) = 49/400

P(B) = (20/7)(49/400)

P(B) = (20*49)/(7*400)

P(B) = (20*7*7)/(7*20*20)

P(B) = 7/20

---------------------

Note how

P(A∩B) = P(A)*P(B)

P(A∩B) = (7/20)*(7/20)

P(A∩B) = (7*7)/(20*20)

P(A∩B) = 49/400

which helps to confirm the answer.

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Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption,

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If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is

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Use following formulas to determine volumes of sphere and cylinder:

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Answer 1: correct choice is C.

If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So

R'=2R, r'=2r, h'=2h.

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Then

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Answer 2: correct choice is D.

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