Wouldn't (D) be the right answer?? I divided 23% by 5,260, but I'm not 100% sure it's correct.

Mathematics

1 answer:

atroni [7]3 years ago

3 0

It would be c. Ian would predict that 23% of the 5,260 would list a sport. Usually when you phrase things like x OF y you multiply. So 23%(or .23) x 5,260 = 1209.8 and we can round to a whole person, giving us 1,210 people

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Step-by-step explanation:

Given

Inside radius of figure $r_1=\frac{14}{2}=7\ ft$

Outside radius of figure $r_2=\frac{16}{2}=8\ ft$

Area of outside region is $A_1=\pi (8^2)$

Area of inside region $A_2=\pi (7)^2$

Area of shaded region $A_1-A_2$

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$\Rightarrow P=\dfrac{A_1-A_2}{A_1}\\\\\Rightarrow P=\dfrac{\pi (8^2-7^2)}{\pi 8^2}\\\\\Rightarrow P=\dfrac{64-49}{64}\\\\\Rightarrow P=\dfrac{15}{64}$