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Lesechka [4]
1 year ago
13

What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a cubic meter?

Mathematics
1 answer:
zlopas [31]1 year ago
6 0
<h3>given:</h3>

radius= 8 m

<h3>to find:</h3>

the volume of the sphere

<h3>solution:</h3>

v =  \frac{4}{3} \pi {r}^{3}

v =  \frac{4}{3}  \times \pi \times  {8}^{3}

v = 2144.66058 \:  {m}^{3}

v = 2144.7 \:  {m}^{3}

<u>therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>sphere</u><u> </u><u>is</u><u> </u><u>2144.7</u><u> </u><u>cubic</u><u> </u><u>meters</u><u>.</u>

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Consider the probability that greater than 94 out of 153 people will not get the flu this winter. Assume the probability that a
Hatshy [7]

Answer:

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.65, n = 153. So

\mu = E(X) = 153*0.65 = 99.45

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.65*0.35} = 5.9

Consider the probability that greater than 94 out of 153 people will not get the flu this winter

This probability is 1 subtracted by the pvalue of Z when X = 94. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{94 - 99.45}{5.9}

Z = -0.92

Z = -0.92 has a pvalue of 0.1788

1 - 0.1788 = 0.8212

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

7 0
3 years ago
The table shows the cost of a pizza based on the number of toppings. Write a function rule to find the cost for a pizza with x t
zheka24 [161]

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5 0
2 years ago
Read 2 more answers
Write the series 1-0.5-2+ ... for 12 terms using summation notation
lions [1.4K]

Answer:

The series

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Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given series  1 -0.5 -2 +.........

we know that the sum of the sequence is called a series

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a = 1 and the difference between the two terms is equal 'd' = -1.5

<u><em>Step(ii):-</em></u>

<u><em>adding 1.5 value of each term</em></u>

The series

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2 years ago
What is the exact area of a circle radius of 8 ft
11111nata11111 [884]

Answer:

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Step-by-step explanation:

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3 years ago
Please help!!!!! This is due in a few hours...
Hunter-Best [27]
Peter's meal costed $8.11 in total. Hope this helps :D
7 0
3 years ago
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