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Maslowich
2 years ago
15

Plz help asap I’ll give you 100 points

Mathematics
2 answers:
zimovet [89]2 years ago
6 0

Answer:

P=8x²+12y

Step-by-step explanation:

P=2L+2W; L=4x²-x+2y; W=x+4y; P=2(4x²-x+2y)+2(x+4y);

P=8x²-2x+2x+4y+8y; P=8x²+12y

kumpel [21]2 years ago
4 0

Answer:

  • P = 8x² + 12y units

Step-by-step explanation:

<u>Given sides of rectangle:</u>

  • x + 4y
  • 4x² - x + 2y

<u>Its perimeter is:</u>

  • P = 2(l + w)
  • P = 2(x + 4y + 4x² - x + 2y)
  • P = 2(4x² + 6y)
  • P = 8x² + 12y
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4. In a sample of 1000 people, 130 can wiggle their ears. Two unrelated people are
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Using the hypergeometric distribution, it is found that there is a 0.7568 = 75.68% probability that neither can wiggle his or her ears.

The people are chosen from the sample without replacement, which is why the <u>hypergeometric distribution</u> is used to solve this question.

Hypergeometric distribution:

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:

  • 1000 people means that N = 1000
  • 130 can wiggle their ears, thus k = 130
  • Two are selected, thus n = 2.

The probability that neither can wiggle his or her ears is P(X = 0), thus:

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

P(X = x) = h(0,1000,2,130) = \frac{C_{130,0}C_{870,2}}{C_{1000,2}} = 0.7568

0.7568 = 75.68% probability that neither can wiggle his or her ears.

A similar problem is given at brainly.com/question/24826394

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A perpendicular bisector <br> A congruent angle<br> Congruent line segment <br> Angel bisector
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angle bisector

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