A set of quiz scores is shown in the histogram below. The mean of the data set is 20.2, and the (population) standard deviation
is 2.4.
PLEASE PLEASE PLEASE How many numbers in the data set are within 1 standard deviation of the mean?
13
14
15
16
PLEASE PLEASE PLEASE How many numbers in the data set are within 1 standard deviation of the mean?
13
14
15
16
1 answer:
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Answer:
56√93 ≈ 540 ft²
Step-by-step explanation:
The roof is made up of 4 congruent isosceles triangles. Since the roof extends 2 ft over the edge of the cottage on each side, then the base of each triangle is 26 + 2 = 28 ft.
Let's calculate the area of one of the triangles and then just multiply by 4. See attachment. Drop a perpendicular from the vertex of a triangle to its base. We now have the triangle broken up into two right triangles. The hypotenuse is 17 ft and one of the legs of the right triangle is 28 / 2 = 14 ft. Then the height / other leg is:
We now have the dimensions of each triangle: the height is √93 and the base is 28. The area of a triangle is: A = (1/2) * b * h, so we have the following.
A = (1/2) * b * h
A = (1/2) * 28 * √93 = 14√93
Multiply this by 4:
14√93 * 4 = 56√93
The total surface area is 56√93 ≈ 540 ft².
