Answer:
see below
Step-by-step explanation:
To convert the numbers to percentages, divide each number by the table total (80) and multiply by 100%. That is equivalent to multiplying each number by 1.25%. For example, 18·1.25% = 22.5% (middle table number).
Find the area of the shaded region.
Answer:
100π - (96 + (13/2)√231 ) m^2
Step-by-step explanation:
We will solve this by finding the area of the triangles (the quadrilateral is cut by the diameter) and subtract it from the area of the circle.
There is a circle theorem which states that if a triangle is in the semicircle and the hypothenuse extends to the length of the diameter, the angle at B here is 90 degrees.
Since angle B is 90 degrees we can use the Pythagorean theorem (a^2 + b^2 = c^2) to find Line AC.
so 144 + 256 = 400
√400 = 20
So diameter is 20
Finding the area of the top triangle:
1/2(12x16) = 96cm^2
For the bottom triangle, we need the side DC to find the area. To find it we will apply the theorem once again.
400 = 169 + DC^2
DC^2 = 231
DC = √231
so the area of the bottom triangle is 1/2(13√231) = (13/2)√231
Now we add the area of the triangles for the quadrilateral and subtract from the circle area.
The circle area is 100π (πr^2)
Hence, the area of the shaded region is:
100π - (96 + (13/2)√231 ) m^2
cm
A. The mean, because the data distribution is symmetrical
B. The mean, because the data distribution is skewed to the left
C. The median, because the data distribution is skewed to the left
D. The median, because the data distribution is skewed to the right