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Flauer [41]
3 years ago
13

PLEASE HELP OMG!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Monica [59]3 years ago
3 0

Answer:

D. (14, 10)

Step-by-step explanation:

Let's use the first equation for this

x = y + 4

Meaning whatever values we are given, x has to be the value of y + 4

So if the y value is 1, the x value has to be 5

A. (6, 10) | 10 + 4 is not 6

B. (9, 5) | 5 + 4 is 9

B is a possible answer

C. (10, 6) | 6 + 4 is 10

C is also a possible answer

D. (14, 10) | 10 + 4 is 14

D is also a possible answer

After going off of the first equation we realize that all of them are possible answers with exception of A, and now we have to base ourselves off of the 2nd equation

2x - 3y = -2

Let's try with B first

2(9) - 3(5) = -2

18 - 15 = -2

B is not the correct answer since 18 - 15 = 3 and not -2

Let's try with C now

2(10) - 3(6) = -2

20 - 18 = -2

C is not the correct answer since 20 - 18 = 2 and not -2

Let's try with D now

2(14) - 3(10) = -2

28 - 30 = -2

D is the correct answer because 28 - 30 = -2

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Using the hypergeometric distribution, it is found that there is a 0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.

The people are chosen without replacement from the sample, 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 is a total of 18 people, hence N = 18.
  • 2 people will be chosen, hence n = 2.
  • David and Valerie corresponds to 2 people, hence k = 2.

The probability that both get picked is P(X = 2), 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(2,18,2,2) = \frac{C_{2,2}C_{16,0}}{C_{18,2}} = 0.0065

0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.

You can learn more about the hypergeometric distribution at brainly.com/question/25783392

7 0
3 years ago
What is the slope of the line in the graph?
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<h3>Answer:   1</h3>

========================================================

Explanation:

Pick any two points you want from the blue line. I'll pick (0,1) and (1,2)

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m = (2-1)/(1-0)

m = 1/1

m = 1

The slope is 1.

Notice how if we're at (0,1), then we move up 1 and over to the right 1 to arrive at (1,2).

slope = rise/run = 1/1

rise = 1, run = 1

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