Answer:
The perimeter of the un-shaded portion is 42 cm
Step-by-step explanation:
The given information are;
The diameter of the circle = 7 cm
The perimeter of the entire figure = 42 cm.
The formula for the perimeter = 2 semi circles + 2 Side lengths, l
The formula for the perimeter = 2 × π·D/2 + 2× l
42 = 2×π·7/2 + 2·l = π·7 + 2·l
2·l = 42 - π×7 = 20.009 cm
l = 20.009 cm/2 = 10.004 cm
The perimeter of the un-shaded portion, = 2 side length + 2 semicircles
∴ = 2×l + 2 × π·D/2 = 2×l + 2×π·7/2 = 2·l + π·7 = 2×10.004 + π×7
= 41.999 ≈ 42 cm
Therefore, the perimeter of the un-shaded portion = 42 cm.
Answer:
The mean of the sampling distribution of sample proportions will be 0.2
Step-by-step explanation:
Central Limit Theorem for Proportions:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
20% of American adults ages 25 and older had never been married.
This means that
So the mean of the sampling distribution of sample proportions will be 0.2