<h2>
Greetings!</h2>
Answer:
Step-by-step explanation:
If the total data set is 36 students, and you need to find out the probability that the randomly selected student studies both art and biology, you need to find the ratio:
Every 36 students there is 6
36 : 6
Divide both sides by 6:
6 : 1
So that means the probability is:
or 1.16 recurring
<h2>Hope this helps!</h2>
Answer: 5
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
<span>Let x=amount of time it takes both pipes draining together to empty the pool
First pipe empties at the rate of 540,000/150=3600 liters/min
Second pipe empties at the rate of 540,000/225=2400 liters/min
Together, both pipes empties at the rate of 3600+2400=6000 liters/min, so our equation to solve is:
6000*x=540000 </span>
Answer:
15
Step-by-step explanation:
Let's call the mystery number x.
Hope this helps!
Answer:
<em>97.5 sq. ft.</em>
Step-by-step explanation:
Im presuming the question asks to find area of the shaded region.
First of all, the total figure is a rectangle. We can write an expression(in words) for the shaded area.
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
Now, we find respective areas.
Area of rectangle:
length * width = (5+10) * (12) = 15 * 12 = 180
Area of Small Triangle (white):
A = (1/2) * base * height = (1/2) * 5 * (12-3) = (1/2) * 5 * 9 = 22.5
Area of Large Triangle (white):
A = (1/2) * base * height = (1/2) * 10 * (12) = 60
Now, we find area of shaded region:
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
<em>Shaded Area = 180 - 22.5 - 60 = 97.5 sq. ft.</em>
