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Leya [2.2K]
3 years ago
12

In the diagram below, which distance represents the distance from point D to

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
4 0
Answer
A.CD
Cause theCD is the mid point of triangle ADB which divides triangle in two half if you look carefully you can understand the diagram ☺️☺️
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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

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276÷10 is 27.6 and that's the answer just draw that in long division or multiplication you should get 2,760
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If they work together, Mark and Yvonne can sort 50 library books in 1.5 hours. Working alone, it would take
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Answer:

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Step-by-step explanation:

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The sloped roof of a house that is right beside its property line can be represented by the inequality −|x − 2| + 9 &gt; 6. Solv
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Answer:

This Is CORRECT

Step-by-step explanation:

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Amy is doing a science experiment on how a certain bacterium reacts to an antibiotic. She has 3 dishes of identical bacterium sa
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ANSWER EQUALS 567. I THINK


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