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2 years ago

What is the volume of a cylinder, in cubic feet, with a height of 13 feet and a base

Mathematics

1 answer:

VashaNatasha [74]2 years ago

6 0

Answer:

163.3

Step-by-step explanation:

3.14*r^2*h

h=13

4/2 = 2

r=2

2^2 = 4

3.14*4 = 12.56

12.56*13 = 163.28

Rounded = 163.3

I believe the answer is 163.3

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3 years ago

8pq + 20qr – 16s factorise plz

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Answer:

4(2qp + 5qr - 4s)

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2 years ago

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find the probability exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%. round

Dennis_Churaev [7]

Answer:

Hence, the probability of exactly 3 successes in 6 trials of a binomial experiment round to the nearest tenth of a percent is:

31.2%

Step-by-step explanation:

The probability of getting exactly k successes in n trials is given by the probability mass function:

$P(k;n,p)=P(X=k)={\binom {n}{k}}p^{k}(1-p)^{n-k}$

Where p denotes the probability of success.

We are given that the probability of success if 50%.

i.e. $p=\dfrac{1}{2}$

also form the question we have:

k=3 and n=6.

Hence the probability of exactly 3 successes in 6 trials is:

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(1-\dfrac{1}{2})^{6-3}$

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(\dfrac{1}{2})^{3}$

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{6$

$\binom {6}{3}=20$

Hence,

$P(3;6,\dfrac{1}{2})=P(X=3)=20\times (\dfrac{1}{2})^6=\dfrac{5}{16$

In percentage the probability will be:

$\dfrac{5}{16}\times 100=31.25\%=31.2\%$

8 0

3 years ago