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2 years ago

The volume of a sphere of radius 3 cm is

Mathematics

1 answer:

In-s [12.5K]2 years ago

3 0

Answer:

3^3 = 27

27 * 3.14 = 84.78

84.78 * 4/3 = 113.04 is your answer.

Formula of volume of sphere is:

4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)

You get your radius by finding out what is half of your diameter or your given radius.

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The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

garik1379 [7]

Answer:

The probability that X is less than 32 minutes is 0.736.

Step-by-step explanation:

Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.

To find : What is the probability that X is less than 32 minutes?

Solution :

If X has an average value of 24 minutes.

i.e. $\lambda=24$

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

The exponentially function is $\frac{1}{\lambda}e^{-\frac{x}{\lambda}}$

The function form according to question is

$f(x)=\{\frac{1}{24}e^{-\frac{x}{24}}, x>0\}$

The probability that X is less than 32 minutes is

$P[x$

Therefore, the probability that X is less than 32 minutes is 0.736.

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3 years ago

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Step-by-step explanation:

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