Partial quotients what is 318 divided by 53

Each side of the square below is 8 inches. A triangle inside of a square. The top of the triangle divides a side of the square i

dmitriy555 [2]

The probability that a point is chosen at random in the square is in the blue region is 0.8.

<h3>What is Probability?</h3>

The probability helps us to know the chances of an event occurring.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

As we know that the area of the shaded region is the sum of the area of triangle A and the area of triangle B. Therefore, the area of the blue shaded region is,

$\text{Area of shaded region} = (\dfrac{1}{2} \times 8 \times 8) + (\dfrac{1}{2} \times 4 \times 8)$

$= (32) + (16)\\\\= 48\rm\ in^2$

The area of the square can be written as,

$\text{Area of Square} = \rm(Side)^2 = 8^2 = 64\ in^2$

Now, the probability that a point is chosen at random in the square is in the blue region can be written as,

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\$

$\rm Probability = \dfrac{\text{Area of blue region}}{\text{Area of square}}\\\\Probability = \dfrac{48}{60} = 0.8$

Hence, the probability that a point is chosen at random in the square is in the blue region is 0.8.

Learn more about Probability:

brainly.com/question/795909

8 0

2 years ago

A car travels 1/6 of the distance between two cities in 3/5 of an hour. At this rate, what fraction of the distance between the

Delvig [45]

<u>Answer:</u>

$\frac{5}{18}$

<u>Step-by-step explanation:</u>

Distance traveled by a car between two cities = 1/6 distance

Time taken to travel between the two cities = 3/5 hours

Therefore, to find how much of the distance the car can travel in 1 hour, we need to divide the given distance by the given time to get:

( $\frac{1}{6}$ ) ÷ ( $\frac{3}{5}$ )

Change the later fraction to its reciprocal to solve:

$\frac{1}{6}$ × $\frac{5}{3}$ = $\frac{5}{18}$

Therefore, in one hour, the car can travel 5/18 of the distance.

8 0

3 years ago

What is 4x-8=9y-5 in standard form

givi [52]

4x-8=9y-5 in standard form is 4x-9y=3

4 0

4 years ago

Math! Please help. Really don't understand this one!

MrRissso [65]

First find out 3% of 400.00= 12 so it would be either B orC

6 0

4 years ago

2. Convert the following from standard form to vertex form:<br> g(x) = -5t2 - 10t + 15

Naya [18.7K]

Answer: y = -5(x+1)^2+20

Step-by-step explanation: I haven't done any math in a long time so take this with a grain of salt but they were equivalent on the calculator.

6 0

3 years ago