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3 years ago

Suppose Q and R are independent events. Find P(Q and R) if P(Q) =4/5 and P(R) =4/11

1 answer:

6 0

Since Q and R are independent, this means P(Q and R) = P(Q)*P(R)

P(Q and R) = P(Q)*P(R)
P(Q and R) = (4/5)*(4/11)
P(Q and R) = (4*4)/(5*11)
P(Q and R) = 16/55

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Find the volume of the cone. Use 3.14 for π. Round to the nearest tenth.

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$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Step-by-step explanation:

We need to find Volume of cone.

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The formula used to find Volume of cone is:

$Volume\,\,of\,\,cone=\frac{1}{3}\pi r^2h$

We are given diameter but we need radius in the formula

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We need to find height of cone.

Using Pythagoras theorem:

$h^2=p^2+b^2\\ (27)^2=p^2+(7.5)^2\\729=p^2+56.25\\p^2=729-56.25\\p^2=672.75\\Taking\,\,square\,\,root:\\p=25.93$

So, Height of cone = p= 25.93

So, r= 7.5 and h= 25.93 and π = 3.14

Putting values in the formula:

$Volume\,\,of\,\,cone=\frac{1}{3}3.14*(7.5)^2*25.93$

$Volume\,\,of\,\,cone=1526.62$

Rounding off to the nearest tenth:

$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Keywords: Volume of cone.

Learn more about Volume of cone at:

#learnwithBrainly

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