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melisa1 [442]
3 years ago
6

Find the volume of a cone with radius 7.5 m and height 16 m.

Mathematics
2 answers:
dybincka [34]3 years ago
8 0
The answer is A <span>

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<span>Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more</span>

natali 33 [55]3 years ago
5 0

Answer with explanation:

Volume of cone having (height =h) and (Radius =r) is given by

             =\frac{\pi r^2 h}{3}

Volume of a cone with radius 7.5 m and height 16 m

       =\frac{\pi \times (7.5)^2 \times 16}{3}\\\\=\frac{22 \times 56.25 \times 16}{3\times 7}\\\\=\frac{19800}{21}\\\\=942.85 m^3\\\\=942 m^3{\text{Approx}

Option A

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The University of Washington claims that it graduates 85% of its basketball players. An NCAA investigation about the graduation
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Probabilities are used to determine the chances of events

The given parameters are:

  • Sample size: n = 20
  • Proportion: p = 85%

<h3>(a) What is the probability that 11 out of the 20 would graduate? </h3>

Using the binomial probability formula, we have:

P(X = x) = ^nC_x p^x(1 - p)^{n -x}

So, the equation becomes

P(x = 11) = ^{20}C_{11} \times (85\%)^{11} \times (1 - 85\%)^{20 -11}    

This gives

P(x = 11) = 167960 \times (0.85)^{11} \times 0.15^{9}

P(x = 11) = 0.0011

Express as percentage

P(x = 11) = 0.11\%

Hence, the probability that 11 out of the 20 would graduate is 0.11%

<h3>(b) To what extent do you think the university’s claim is true?</h3>

The probability 0.11% is less than 50%.

Hence, the extent that the university’s claim is true is very low

<h3>(c) What is the probability that all  20 would graduate? </h3>

Using the binomial probability formula, we have:

P(X = x) = ^nC_x p^x(1 - p)^{n -x}

So, the equation becomes

P(x = 20) = ^{20}C_{20} \times (85\%)^{20} \times (1 - 85\%)^{20 -20}    

This gives

P(x = 20) = 1 \times (0.85)^{20} \times (0.15\%)^0

P(x = 20) = 0.0388

Express as percentage

P(x = 20) = 3.88\%

Hence, the probability that all 20 would graduate is 3.88%

<h3>(d) The mean and the standard deviation</h3>

The mean is calculated as:

\mu = np

So, we have:

\mu = 20 \times 85\%

\mu = 17

The standard deviation is calculated as:

\sigma = np(1 - p)

So, we have:

\sigma = 20 \times 85\% \times (1 - 85\%)

\sigma = 20 \times 0.85 \times 0.15

\sigma = 2.55

Hence, the mean and the standard deviation are 17 and 2.55, respectively.

Read more about probabilities at:

brainly.com/question/15246027

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3 years ago
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trasher [3.6K]
Use the Pythagorean Theorem:
a^2 + b^2= c^2

a= one side= 68 mi
b= second side= 80 mi
c= hypotenuse= Greenville to Columbia mi


a^2 + b^2= c^2

68^2 + 80^2= c^2
square each number

4,624 + 6,400= c^2

11,024= c^2
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104.995 mi= c


ANSWER: The distance from Greenville to Columbia is 104.995 miles (rounded to 105 miles).

Hope this helps! :)
3 0
3 years ago
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