<span>Using radian meansure
theta = (arc length)/radius
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arc length = radius*theta
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Your Problem:
120 degrees = 120(pi/180) = (2/3)pi radians
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circumference = 2pi*r
24 = 2pi*r
r = 12/pi
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arc length = (12/pi)(2/3)pi = 8 units
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A number that is less that 7.5 can be used as the lesser of the two consecutive integers with the sum greater than 16, but only if the number used was added with one.
Answer:
The answer is the third bullet. (number 3)
P(Al hits bottle first time) = 1/3
P(Al misses the first shot but hits on his second shot) =
P( Al misses and bill misses and Al hits) = 2/3 * 3/4 * 1/3 = 1/6
So required probability = 1/3 + 1/6 = 1/2
