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3 years ago

14

Find the volume of the sphere with radius of 9 cm. Round your answer to the nearest whole number and please be sure to include y

our units.
3
0 24,429 cm
3
339 cm
3
03.054 cm
3
O 763 cm

1 answer:

bija089 [108]3 years ago

5 0

Answer:

3054cm rounded to the whole number

Step-by-step explanation:

4/3xxr^3

would become 4/3 x x 9^3

once you do all of the math you get 3054 cm.

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3 years ago

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Answer:

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Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The mean time for the component failure is 2500 hours.

This means that $m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004$

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

$P(X > x) = e^{-0.0004*5000} = 0.1353$

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

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2 years ago