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vlabodo [156]
3 years ago
14

What would the distance be of a crater of 4300 feet in diameter use 3.14 pi\

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
4 0
Answer : 13502 ft
Circumference of crater 2 pi r
Diameter = 4300
Radius = (4300/2)
Distance = 2 × 3.14 × (4300/2)
= 13502 ft


Hope it helped!
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What is the exact volume of a cylinder whose radius is 21 centimeters and whose height is 30 centimeters?
olga nikolaevna [1]
Volume of cylinder
v = πr²
v = 22/7 x 21²
v = 1385.441 cm³
4 0
3 years ago
There is a bag filled with 3 blue and 4 red marbles.
tresset_1 [31]

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • There is a total of 3 + 4 = 7 marbles, hence N = 7.
  • Of those, 3 are blue, hence k = 3.
  • 2 marbles will be taken, hence n = 2.

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857

P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429

Hence:

p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

3 0
2 years ago
What is the b-value?
Alona [7]

the anwser to b value is 777

3 0
3 years ago
What is the square root of 36x to the fourth power?
-BARSIC- [3]
\sqrt{36x^4}=\sqrt{36}\cdot\sqrt{x^4}=\sqrt{6^2}\cdot\sqrt{(x^2)^2}=6\cdot x^2=\boxed{6x^2}
8 0
3 years ago
4 less than the number product of a number and 8 is 44 .what it the number
Anettt [7]

Set up the problem like this: x - 4 + 8 = 44

x-4+8=44             (8-4)

x+4=44

  -4   -4                (subtract 4 from both sides)

x=40

Answer: the number is 40.

3 0
3 years ago
Read 2 more answers
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