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2 years ago

Help picture below problem 14

Mathematics

1 answer:

AlexFokin [52]2 years ago

8 0

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

*look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

$?^2+6^2 = 10^2\\?^2 + 36 = 100\\?^2 = 64\\? = 8$

Thus the missing side length is 8 cm

Hope that helps!

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4. In a sample of 1000 people, 130 can wiggle their ears. Two unrelated people are

Elina [12.6K]

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 hypergeometric distribution 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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2 years ago

What is the formula for a cone in geometry

deff fn [24]

V=pie r square h/3
Hope you get the picture!

7 0

3 years ago

Read 2 more answers

Express the ratio 48:44 in its simplest form

CaHeK987 [17]

Answer:

Step-by-step explanation:

48:44= 12:11

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3 years ago

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The function f(x) = 2x2 + 6x - 12 has a domain consisting of the integers from -2 to 1, inclusive. Which set represents the corr

Dimas [21]

Answer:

[-16,-4]

Step-by-step explanation:

We are given that

$f(x)=2x^2+6x-12$

Domain=[-2,1]

We have to find the set of range values of f(x).

Substitute x=-2

$f(-2)=2(-2)^2+6(-2)-12$

$f(-2)=-16$

Substitute x=1

$f(1)=2(1)+6(1)-12=-4$

Range of f(x)=[-16,-4]

Hence, the set of range values of f(x)

[-16,-4]

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3 years ago

The side lengths are 9,12,18. is this a right triangle?

andrezito [222]

No the side lengths of 9,12, and 18 doesn’t form a right triangle. Posted a picture showing all the side length that is a right triangle.

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3 years ago