What is the value of x in the triangle?

Mathematics

1 answer:

IRINA_888 [86]3 years ago

6 0

Answer:

B) 24

Step-by-step explanation:

⇒ $sin\alpha = \frac{O}{H}$ [Using SOHCAHTOA]

⇒ $sin(45) = \frac{12\sqrt{2} }{x}$ [Substitute in values]

⇒ $x = \frac{12\sqrt{2} }{sin(45)}$ [Rearrange to make x the subject]

⇒ $x = 24$

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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 <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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3 years ago

A concrete block has a cy

geniusboy [140]

To solve this problem, we will subtract the volume of the cylinder from the volume of the rectangular prism.

The volume of a cylinder is: pi*r^2*h
Substitute 2 in for r and 6 in for h. If the diameter is 4, then the radius is 2.
pi*2^2*6
pi*4*6
pi*24
=75.4 ft^2

The volume of the rectangular prism is: l*w*h.
Substitute 6 in for l, w and h, since all edges are equal.
6*6*6
36*6
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Subtract 75.4 from 216
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There is 140.6 cubic feet of concrete left in the block.

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4 years ago

6. Nathan buys packages of bacon. This chart shows the numbers of

likoan [24]

Answer:

A The data is proportional and the unit rate per package is $8 This is because y= 8x

Step-by-step explanation:

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