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Bas_tet [7]
2 years ago
8

Find the probability that a point is chosen randomly inside the rectangle is in each given shape...

Mathematics
1 answer:
Arlecino [84]2 years ago
6 0

By taking the quotients between the areas, we see that:

  • a) P = 0.275
  • b) P = 0.85

<h3>How to find the probabilities?</h3>

First we need to find the areas of the 3 shapes.

For the triangle, the area is:

T = 3*5/2 = 7.5

For the blue square, the area is:

S = 3*3 = 9

For the rectangle, the area is:

R = 10*6 = 60

Now, what is the probability that a random point lies on the triangle or in the square?

It is equal to the quotient between the areas of the two shapes and the total area of the rectangle, this is:

P= (7.5 + 9)/60 = 0.275

b) The area of the rectangle that is not the square is:

A = 60 - 9 = 51

Then the probability of not landing on the square is:

P' = 51/60 = 0.85

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

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Answer:

y-30=2(x-2)

Step-by-step explanation:

m=y2-y1/x2-x1

-28-2=(-30)

15-30=(-15)

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3 years ago
Which number is an integer?
horrorfan [7]

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Step-by-step explanation:

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2 years ago
1. If a bicycle wheel has a diameter of 15 in. How far will the wheel rotate in 10 rotations?​
WARRIOR [948]

Answer:

150 pi inches or 471.239 inches traveled

Step-by-step explanation:

First, close your eyes, and think about the distance a bike travels after one rotation of the wheel.

You will come to the realization that a full rotation of the wheel makes you travel the circumference of the wheel

The formula for circumference is 2(pi)(r) or (pi)(diameter)

We are given diameter, so let's find distance traveled for one rotation

pi(15 inches) = 15pi inches per rotation.

There are 10 rotations, so:

(15pi inches/rotation)(10 rotations) = 150pi inches travelled

150 x pi = 471.239 inches traveled

4 0
3 years ago
If the area of a circular pool is 300 square yards, what is its radius?
elixir [45]

Answer:

<h2>radius = 9.77 yards</h2>

Step-by-step explanation:

Since the pool is circular

Area of a circle = πr²

where

r is the radius

From the question

Area = 300 square yards

To find the radius substitute the value of the area into the above formula and solve for the radius

That's

300 = πr²

Divide both sides by π

We have

{r}^{2}  =  \frac{300}{\pi}

Find the square root of both sides

That's

r =  \sqrt{ \frac{300}{\pi} }

r = 9.7720502

We have the final answer as

<h3>radius = 9.77 yards</h3>

Hope this helps you

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3 years ago
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