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djverab [1.8K]
2 years ago
11

HELP ME PLZZZZ!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
8 0

the radius of the distance between the middle point of the circle and the outside, we have the diameter which is 6 so the <u>radius will be 3</u>

slant height is

\sqrt{r^2+h^2}

h is 4.7 and r is 3

\sqrt{3^2+4.71^2} \\5.58427

<u>slant height is 5.58427</u>

lateral surface area

\pi r\sqrt{h^2+r^2}

\pi (3)\sqrt{4.71^2+3^2} \\52.63053

<u>lateral surface area is 52.63053</u>

total surface area

\pi r(r+\sqrt{h^2+r^2})

\pi 3(3+\sqrt{4.71^2+3^2})

80.90486

<u>total surface area is 80.90486</u>

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PLS HELP ASAP Given the following probabilities, for what P(B) are events A and B independent? P(A)=23 P(A and B)=13
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I'm assuming you meant to say

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P(A and B) = P(A)*P(B)

So we multiply P(A) and P(B) to get the value of P(A and B). We don't know what P(B) is, but we can use algebra to find it

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

P(A and B) = P(A)*P(B)

P(A)*P(B) = P(A and B)

(2/3)*P(B) = 1/3

P(B) = (1/3)*(3/2) .... multiply both sides by the reciprocal of 2/3

P(B) = (1*3)/(3*2)

<h3>P(B) = 1/2  is the answer</h3>

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

If P(B) = 1/2, then

P(A and B) = P(A)*P(B)

P(A and B) = (2/3)*(1/2)

P(A and B) = (2*1)/(3*2)

P(A and B) = 1/3

Which is the given probability for both events happening. This confirms we have the correct P(B) value.

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