Answer:
482.5 ft^2.
Step-by-step explanation:
The figure can be regarded as a rectangle with a triangle cut out of one corner.
The base of the triangle = 25-20 = 5 in and the height = 20 - 13 = 7 in.
The required area = area of rectangle - area of triangle
= 25*20 - 1/2 * 5 * 7
= 500 - 17.5
= 482.5 ft^2
Answer:
Pretty Simple!
Now that you know about ratios and all that, this is pretty tame compared to the last problem.
Now, the problem is talking 2D(2 Dimensions)
The ratio is not going to work because it has only one parameter.
Thus, we need to square it!

Thus, we have your correct ratio.
Now, we only need to do the same thing for the triangle problem. Meaning that, we need to compare the ratios, with x as the thing we are looking for.

See? X is practically handed to us.
Hope this helps!
Answer:
x = 15°
y = 59°
Step-by-step explanation:
Angles at a right angle add up to 90°
41 + y = 90
y = 90 - 41
y = 59°
Angles in a triangle add up to 180°
41 + (2x - 9) + 7x + 13 = 180
41 + 13 - 9 + 2x + 7x = 180
45 + 9x = 180
9x = 180 - 45
9x = 135
x = 135/9
x = 15°
Answer:
0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

Uniformly distributed over the interval 40 to 75 minutes.
This means that 
It is known that the cycle time exceeds 45 minutes
This means that we can use 
What is the probability that the cycle time exceeds 50 minutes?

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes