Find the area of the shaded regions. GIve your answer as a completely simplified exact value in terms of pi. (No approximations)
1 answer:
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Answer:
Step-by-step explanation:
From Bayes' theorem is stated mathematically as the following equation:[2]
{\displaystyle P(A\mid B)={\frac {P(B\mid A)\,P(A)}{P(B)}},}
where A and B are events and P(B) ≠ 0.
P(A) and P(B) are the probabilities of observing A and B without regard to each other.
P(A | B), a conditional probability, is the probability of observing event A given that B is true.
P(B | A) is the probability of observing event B given that A is true.
At this point, go through the attached file before you continue with part B.
Part B)
P(silver) = P(silver from SS)+P(silver from GS)
note P(SS)=P(GG)=P(GS) = 1/3
P(silver from SS) = 1
P(silver from GS) = 1/2
hence
P(Silver from SS) = 1/3
P(Silver from GS) = 1/3 *1/2
P(Silver) = 1/3*1+1/3*1/2
required probability = P(Silver from SS)/P(Silver) = 2/3
Answer:
18,471.6 cubic inches of wax will be needed
Step-by-step explanation:
We want the volume that will be required for 210 candles. We first find the volume of 1 candle by using volume of cylinder formula. Then multiply that answer by 210 to find volume of wax needed to make 210 such candles.
Volume of Cylinder is given by the formula:
Where
r is the radius
h is the height
Given,
r = 2 in
h = 7 in
We substitute and find 1 candle volume:
Volume of 1 candle =
Hence,
Volume of 210 candles = 87.96 * 210 = 18,471.6 cubic inches