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Lubov Fominskaja [6]
3 years ago
10

What is the volume of a hemisphere that has a diameter of 12.6 cm, to the nearest tenth of a cubic centimeter?

Mathematics
1 answer:
scoundrel [369]3 years ago
3 0
Volume of a sphere = 4/3 pi r^3
A hemisphere is half a sphere so 1/2*4/3 pi r^3 = 2/3 pi r^3
Given diameter = 12.6 but we need radius so diameter /2 or 12.6/2 r=6.3
2/3*pi*6.3^3 =
2/3*pi*250.047
166.698*pi
= 523.7
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Find <br> 6<br> 2<br> (<br> 9<br> )<br> . Express your answer as a fraction in simplest form.
kotykmax [81]

Based on the expression given, when it is solved, as a fraction in its simplest form it would be 558/1.

<h3>What is the fraction in its simplest form?</h3>

The expression, 62(9) can be rewritten as:

= 62 x 9

This is because the brackets denote that the number within the brackets should be multiplied by the number outside the bracket.

The solution is:

= 62 x 9

= 558

As this is an integer, it means that it has a denominator of 1. The fraction in its simplest form is therefore:

= 558 / 1

Find out more on fractions in their simplest forms at brainly.com/question/18069

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6 0
2 years ago
The University of Washington claims that it graduates 85% of its basketball players. An NCAA investigation about the graduation
Nonamiya [84]

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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fenix001 [56]

Answer:

y⁷/x⁵ , I hope this helps

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Vika [28.1K]

Answer:

no because on is equal to 3 when plugged in and the other is equal to 4 when plugged in.

Step-by-step explanation:

3(3)-5=4\\4(3)-9=3

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3 years ago
Geometry...Please help as soon as possible please and Thank you!!!
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Answer:

I answered the question according to "ASA" Angle, side, angle

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Step-by-step explanation:

Note : I'm not a teacher but I'm quite sure about my answer...

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