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2 years ago

10

The figure shows two right triangles, each with its longest side on the same line. R 4 How long is XY? Type the answer in the bo

x.

1 answer:

Leokris [45]2 years ago

8 0

Answer: 6

Step-by-step explanation:

Because corresponding sides of similar triangles are proportional,

$\frac{XY}{3}=\frac{4}{2}\\ \\ \frac{XY}{3}=2\\ \\ XY=\boxed{6}$

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There would be 8.12 feet of water after 4 hours.

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3 years ago

Find the point on the line y = 3x + 2 that is closest to the origin.

anzhelika [568]

1.
the slope of the line y=3x+2 is the coefficient of x, that is 3.

2.
the slope of any line perpendicular to the line y=3x+2, is m, such that:

$3*m=-1$

so $m= \frac{-1}{3}$

3.
so any line with equation y=-1/3x+k is perpendicular to y=3x+2.

moreover, the line y=-1/3x (so k=0) is the line passing through the origin
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5.
to find this point:

3x+2=(-1/3)x
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3 years ago

If each customer takes 3 minutes to check out, what is the probability that it will take more than 9 minutes for all the custome

AnnyKZ [126]

Using a discrete probability distribution, it is found that there is a 0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

<h3>What is the discrete probability distribution?</h3>

Researching the problem on the internet, it is found that the distribution for the number of customers in line at the store is given by:

P(X = 0) = 0.2;

P(X = 1) = 0.15;

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0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

More can be learned about a discrete probability distribution at brainly.com/question/24855677

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