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sashaice [31]
3 years ago
15

In a right triangle, the length of one leg is 6 units. The length of the other leg is 8 units. What is the length of the hypoten

use (hint: use Pythagorean Theorem)?
Mathematics
2 answers:
lozanna [386]3 years ago
7 0
hypotenuse =  \sqrt{6^2+8^2}= \sqrt{36+64}= \sqrt{100}=10 \ units
Lesechka [4]3 years ago
6 0
Applying the Pythagorean Theorem, a^2 + b^2 = c^2, we can insert the numbers 6^2 + 8^2 = c^2, or 36 + 64 = √100, or 10. So the hypotenuse is 10 units.
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For each free throw, there are only two possible outcomes, either he makes it, or he misses it. The results of free throws are independent from each other, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

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In this problem:

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The probability that he makes exactly 1 is P(X = 1), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{3,1}.(0.9)^{1}.(0.1)^{2} = 0.027

0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

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