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12,900 BTU's are required to cool the room effectively.
Step-by-step explanation:
Step 1:
We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.
It is made up of a semi-circle a rectangle, and a trapezoid.
Step 2:
The area of a semi-circle
Here, the diameter is 20 feet so the radius is 10 feet.
The area of the semi-circle square feet.
The area of a rectangle
The length of the rectangle is 22 feet and the width is 20 feet.
The area of a rectangle square feet.
The area of a trapezoid
Here .
The area of a trapezoid square feet.
Step 3:
The total area of the floor plan square feet.
If 20 BTU's are required for a single square foot,
The number of BTU's for 645.079 square feet BTU's.
Rounding this off, we get 12,900 BTU's required to cool the room effectively.
The probability 0.1641.
The binomial distribution is
For this problem, we have:
The binomial distribution is
For this problem, we have: