Answer:
14.25 yd^2
Step-by-step explanation:
The triangle area is given by the formula ...
A = 1/2bh
Here, the base is 10 yd, and the height is 5 yd, so ...
triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2
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The semicircle is half the area of a circle with radius 5 yd, so its area is ...
semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2
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The shaded region is the difference between these areas:
shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2
μ = mean = 10.72 oz
σ =standard deviation = 0.14
x = 10.5
First, find the z-score:
z = x - μ / σ
z = (10.5 - 10.72) / 0.14 = -1.57143
Then find the value on the z-score table:
P (x < 10.5) = 0.058042
Answer: A.
Step-by-step explanation:
1/4 is not in fact a natural number, it's a rational number, a ratio.
