SOLUTION: I've come up to bat 100 times and got 35 hits for a .350 batting average. I want to improve my batting average to .400. What's the equation that tells me how many consecutive hits

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Question 1183041: I've come up to bat 100 times and got 35 hits for a .350 batting average. I want to improve my batting average to .400. What's the equation that tells me how many consecutive hits I will need that also takes into account each additional at-bat's impact?
Answer by ikleyn(52808) About Me  (Show Source):
You can put this solution on YOUR website!
.
I've come up to bat 100 times and got 35 hits for a .350 batting average.
I want to improve my batting average to .400. What's the equation that tells me how many consecutive hits
I will need that also takes into account each additional at-bat's impact?
~~~~~~~~~~~~~~~~~ 

The equation you are asking for is


    %2835%2Bn%29%2F%28100%2Bn%29 = 0.4.


Since you ask about an equation only, I stop my explanation at this point 
and do not go further to explain how to solve it.