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Mathematics: Post your doubts here!

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Can someone help me with the second part why are we subtracting 50 from 72?
Nov 2010 62View attachment 64597
To find standard deviation, you need the value of either Σx and Σx^2 or Σ(x-50) and Σ(x-50)^2. Since we only have the latter, we have to solve the question using them.
We found Σ(x-50) and Σ(x-50)^2 in the first part... these coded total represents the value of Σx-50 which means that every data added to the set must have 50 subtracted from its value(this is the basis of coding - if you didn't know this, you should probably learn coding from scratch). Which is why when we add a data with value 72, it effectively has a value of 22 in the Σ(x-50) coding.

Edit: The alternative method would be to find Σx^2 using earlier standard deviation and value of Σx. In this case, you would add 72 to the coding since these are the original values. But this method is more time-consuming since you got to spend time finding the value of Σx^2.
 
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Btw this is ATTACHED IS MS
my confusion is that how can a particle which bounces at water surface reaches max height OUTSIDE WATER?
IS THIS PRACTICALLY POSSIBLE?
Why would it not be possible? as long as the ball's maximum height isn't higher than the height it was dropped off from.
 
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Why would it not be possible? as long as the ball's maximum height isn't higher than the height it was dropped off from.
But this has just bounced off the surface, not reaching the bottom...the one in the question first reached the bottom of the tank and then returned back to rise above the water surface
 
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Btw this is ATTACHED IS MS
my confusion is that how can a particle which bounces at water surface reaches max height OUTSIDE WATER?
IS THIS PRACTICALLY POSSIBLE?
yes it is possible bcz if u calculate the velocity of the ball when it bounces back and reaches the surface, it is not zero and that means it will still be going up.........the deceleration is not enough for the particle to stop in the water..... YES this is a very confusing question but basically by experience and practice u will get to know what type of the questions can come in machanics.
 
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