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1 year ago

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

Mathematics

1 answer:

Arlecino [84]1 year 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

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Let R be the event that a randomly chosen person lives in the city of Raleigh. Let O be the event that a randomly chosen person

Anit [1.1K]

Answer:

P(O|R)

Step-by-step explanation:

The conditional probability notation of two events A and B can be written as either P(A|B) or P(B|A).

The '|' sign is read as 'given'. So, P(A|B) is read as the probability of event A given event B which implies that it is the probability that event A will occur given that event B has already occurred.

In the question,

Event R = Person lives in the city of Raleigh

Event O = Person is over 50 years old

The statement says, 'given that the person lives in Raleigh' which means that event R has already occurred and we need to find the probability of event O (the randomly chosen person is over 50 years old).

Hence, this statement can be given in conditional probability notation as

P(O|R)

7 0

2 years ago

Simplify Negative 3 over 2 ÷ 9 over 6 . (5 points) -4 -1 4 1

DiKsa [7]

Answer:

Step-by-step explanation:

$\frac{3}{2}$ ÷ $\frac{9}{6}$ = $\frac{3}{2}*\frac{6}{9}\\$

= $\frac{18}{18}$

= 1

Use KCF method,

Keep the first number.

Change the division to multiplication

Flip the second number

8 0

2 years ago

Read 2 more answers

SOVing Problems With Right Triangles: Mastery Test

Serhud [2]

Answer:

13.86 ft

Step-by-step explanation:

This can be represented by a right angled triangle with a hypotenuse of 16 feet and an angle of 60° between the hypotenuse side and the adjacent side.

The height of the pole is the side opposite to the angle 60°.

The trigonometric function states that for a right angled triangle:

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite/ adjacent

To find the height of the flagpole, we use:

sin(60) = height / 16

height = 16 * sin(60)

height = 13.86 ft

The person with the incorrect reasoning for the height of the flagpole is Charlie when he should have utilized the sin function. Because he incorrectly selected the function.