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Whitepunk [10]
3 years ago
5

What is

Mathematics
2 answers:
netineya [11]3 years ago
8 0

Answer:

2/5

Step-by-step explanation:

The lines are parallel, so they have the same slope.

The red lines has a slope of 2/5

The green line has a slope of 2/5

Mazyrski [523]3 years ago
8 0

Answer: 2/5

Step-by-step explanation:

if they did not have the same slope, they would not be parallel

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In a string of 12 Christmas tree light bulbs, 3 are defective. The bulbs are selected at random and tested, one at a time, until
Juliette [100K]

Using the hypergeometric distribution, it is found that there is a 0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.

In this problem, the bulbs are chosen without replacement, hence the <em>hypergeometric distribution</em> 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 are 12 bulbs, hence N = 12.
  • 3 are defective, hence k = 3.

The third defective bulb is the fifth bulb if:

  • Two of the first 4 bulbs are defective, which is P(X = 2) when n = 4.
  • The fifth is defective, with probability of 1/8, as of the eight remaining bulbs, one will be defective.

Hence:

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

P(X = 2) = h(2,12,4,3) = \frac{C_{3,2}C_{9,1}}{C_{12,4}} = 0.2182

0.2182 x 1/8 = 0.0273.

0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

8 0
2 years ago
Anna just accepted a job at a new company where she will make an annual salary of $66000. Anna was told that for each year she s
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Answer:

90000

Step-by-step explanation:

I put 4000 times 6 years then added that to 66000 then got 90000.

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2 years ago
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A benefit is the technology can be more aaurate and you can use a compass and a straightedge wrong and get lost. Also the compass can break
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3 years ago
What is the value of x? Please provide an explanation, thanks!
Novosadov [1.4K]

Answer:

28

Step-by-step explanation:

What you do is add up 42 and 76, then you subtract that from 180, because all triangles add up to 180. the subtracted amount is what z equals. Then since its a straight line you know it adds up to 180. You add z (62) and 90 because its a right angle. then you subtract 180 by 152 to get 28.

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I need help asap please:)​
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Answer:

The answer is -5/24.

Step-by-step explanation:

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