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2 years ago

In a school of 330 students, 85 of them are in a drama club, 200 of them are in a sports team and 60 of them do both

Mathematics

1 answer:

Neko [114]2 years ago

8 0

Answer:

105/330 = 21/66 = 7/22

7/22 is the answer I think

Step-by-step explanation:

n(U) = 330

n(A) = 85

n(B) = 200

n(A n B) = 60

Now,

n(A U B) = n(A) + n(B) - n(A n B)

or, n(A U B) = 85 + 200 - 60

or, n(A U B) = 285 - 60 = 225

Now,

n(A U B) compliment = n(U) - n(A U B)

n(A U B) compliment = 330 - 225

so, n(A U B) compliment = 105

Now,

probability = 105/330

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Please help thanks so much

Umnica [9.8K]

The formula for the volume of a sphere is the following:

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Plug in V=5000π and solve for the radius.

$5000 \pi = \dfrac{4}{3} \pi r^3$

Divide both sides by $\pi$

$5000 = \dfrac{4}{3} r^3$

Multiply both sides by 3/4 (to eliminate the 4/3 on the right side)
Also, flip the equation so we have the unknown variable on the left side (math etiquette).

$r^3=3750$

Take the cube root of both sides

$r \approx 15.5$

Now, calculate the surface area since now we know the radius.
The formula for the surface area is the following:

$S=4 \pi r^2$

Plug in r=15.5

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