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Arturiano [62]
3 years ago
15

A cylinder has a height of 12 feet and a radius of 5 feet. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest

hundredth.
Mathematics
1 answer:
beks73 [17]3 years ago
7 0

Answer: The volume is 942 cubic feet   , 942 ft^3

Step-by-step explanation:

The formula for the volume of a cylinder is  v = pi* r^2 * h

Where v is the volume, r is the radius and h is the height.

Input the values for pi, radius, and the height into the formula to solve for the volume.

v = 3.14* (5^2) * 12

V = 3.14* 25 * 12

V = 942

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3 years ago
A computer is used to generate passwords made up of numbers 0 through 9 and lowercase letters. The computer generates 400 passwo
tamaranim1 [39]

The prediction for the number of passwords in which the first character is a vowel is 56 passwords.

<h3>How to find that a given condition can be modelled by binomial distribution?</h3>

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

X \sim B(n,p)

The probability that out of n trials, there'd be x successes is given by

P(X =x) = \: ^nC_xp^x(1-p)^{n-x}

The expected value and variance of X are:

E(X) = np\\

Given that the characters that can be used are numbers 0 through 9 and lowercase letters. Therefore, a total of 36 different characters are available.

Since we need to know the passwords made with vowels, therefore, the probability of a password in which the first character will be a, e, i, o, u is (5/36).

Now as the computer produces 400 passwords, therefore, the predicted value can be written as,

E = np = 400 \times \dfrac{5}{36} = 55.5556 \approx 56

Hence, the prediction for the number of passwords in which the first character is a vowel is 56 passwords.

Learn more about Binomial Distribution:

brainly.com/question/14565246

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5 0
2 years ago
Somebody plz help me with this question!
-BARSIC- [3]

Answer:

Socratic app

Step-by-step explanation:

it will help you

8 0
3 years ago
What is the mean of 5, 8, 16, 22, 19, 27, 32? (Round to the nearest whole number.)
Artyom0805 [142]

Answer:

B) 18.

Step-by-step explanation:

Add them up then divide by the amount of numbers there are.

7 0
3 years ago
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My bed is 3 inches by 2 2/3 inches by 1/3 inch.What is the volume of my bed
Gekata [30.6K]

Answer:

2 2/3

Step-by-step explanation:

V=whl

3*8/3*1/3

3*8/3=8

8*1/3= 8/3= 2 2/3

5 0
3 years ago
Read 2 more answers
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