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UNO [17]
4 years ago
7

* Pls I’m being timed *

Mathematics
1 answer:
tamaranim1 [39]4 years ago
5 0

Answer:

≈ 29.03

Step-by-step explanation:

from the photo, we can find the coordinates of the 3 points are:

  • V (1, 7)
  • E (-3, -4)
  • N (5, 7)

To find the approximate perimeter of VEN, we need to know the lenght of 3 sides. Let's find them:

As we know, the distance of two points can be determined by this formula:d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

So that, the distance of:

VN = \sqrt{(5-1)^2+(7-7)^2} = \sqrt{4^{2} }  = 4

EN = \sqrt{(5-(-3))^2+(7-(-4))^2} = \sqrt{8^{2}+11^{2} } =\sqrt{185}

EV = \sqrt{(1-(-3))^2+(7-(-4))^2} = \sqrt{4^{2}+11^{2} } =\sqrt{137}

=> the approximate perimeter of VEN is:

VN + EN + EV

= 4 + \sqrt{185}  + \sqrt{137}

≈ 29.03

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Answer:

x \approx 55.8

Step-by-step explanation:

In order to solve this problem, one must use the trigonometric ratios. These ratios are the following,

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Remember, each side is named relative to the angle, thus sides will attain different names depending on the angle which one sues to calculate with.

In this case, one is given the measure of the angle, and the measure of the side opposite to the angle. One is asked to find the measure of the side adjacent to the angle. Use the trigonometric ratio (tan) to solve for the unknown. Substitute in the given values,

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3 years ago
In the United States, 75 percent of adults wear glasses or contact lenses. A random sample of 10 adults in the United States wil
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Answer:

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Step-by-step explanation:

We are given the following information:

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Then the number of adults follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

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Now, we are given n = 10

We have to evaluate:

P(fewer than 8 of the selected adults wear glasses or contact lenses)

P(x < 8)\\=1 - P(x = 8) - P(x = 9) - P(x = 10)\\=1 - \binom{10}{8}(0.75)^8(1-0.75)^2 - \binom{10}{9}(0.75)^9(1-0.75)^1- \binom{10}{10}(0.75)^10(1-0.75)^0\\=1 - 0.2815-0.1877-0.0563\\= 0.4745

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Answer:

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Step-by-step explanation:

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