SOLUTION: Suppose a number is chosen at random from the set {0,1,2,3,...,705}. What is the probability that the number is a perfect cube? The probability of choosing a perfect cube is

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Question 297129: Suppose a number is chosen at random from the set {0,1,2,3,...,705}.
What is the probability that the number is a perfect cube?
The probability of choosing a perfect cube is

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Between 0 and 705, there are a total of 706 numbers.
Of those, 0, 1, 8, 27, 64, 125, 216, 343, and 512 are perfect squares or 9 out of the 706.
P(perfect square between 0 and 705)=9/706=0.0127

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