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tino4ka555 [31]
3 years ago
10

A baseball coach gives half his players an energy drink to consume before each game; the other half does not receive the energy

drink. After a month of games, he analyzes their playing stats. He concludes the energy drink helped improve their performance on the field. How can the coach test the means to be sure his results are not likely to happen by chance?
Mathematics
1 answer:
lilavasa [31]3 years ago
7 0
He would have to not give them energy drings and give the other half energy drings to see how they improve.
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since the volume doubles every minute , the formula for calculating the volume V at any time t is

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thus for t=1 min (9:59 AM) the volume is V₁=V₀/2 (half of the initial one) , for t=2 (9:58 AM) is V₂=V₁/2=V₀/4  ...

therefore when the container is 1/4 full the volume is V=V₀/4 , thus replacing in the equation we obtain

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ln (1/4) = -t* ln 2

t = - ln (1/4)/ln 2 = ln 4 /ln 2 = 2*ln 2 / ln 2 = 2

thus t=2 min before 10 AM → 9:58 AM

therefore the container is 1/4 full at 9:58 AM

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