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19 votes
19 votes
How do I solve this please? Can SOMEONE please help me this and the ones Iposted on my page.

How do I solve this please? Can SOMEONE please help me this and the ones Iposted on-example-1
User Stephen Kitt
by
2.7k points

1 Answer

24 votes
24 votes

Answer:
(15)/(64)

Explanation:

Given

Inside radius of figure
r_1=(14)/(2)=7\ ft

Outside radius of figure
r_2=(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

Probability that point lies inside the shaded region is


\Rightarrow P=(A_1-A_2)/(A_1)\\\\\Rightarrow P=(\pi (8^2-7^2))/(\pi 8^2)\\\\\Rightarrow P=(64-49)/(64)\\\\\Rightarrow P=(15)/(64)

User Quang Thang
by
2.8k points