Recent content by Math Man900

  1. M

    Odds in Probability of Green Eyes

    Nevermind. there are 3 ways to get 1 green person (1st,2nd, or 3rd) which means P( s ) = 3*92/975. and when you work out P( f ) you find the odds are: 92/233. QED. thanks
  2. M

    Odds in Probability of Green Eyes

    Homework Statement Of 27 students in a class, 11 have blue eyes, 13 have brown eyes, 3 have green eyes. If 3 students are chosen at random what are the odds of the following occurring? Only 1 has green eyes.Homework Equations Odds = P( s )/P( f ) = P( s )/( 1 - P( s )) Probability success = P(...
  3. M

    Find the Limit: x→0 of 1-sqrt(x^2-1)/x^2

    when i graphed it, i found the answer to be infinity - infinity*i or (1-i)*infinity none of those answer sound like what a teacher would be looking for, so i would guess the answer is either "limit does not exsist" or you copied the problem wrong
  4. M

    Trouble with very basic algebra question

    For the 3rd one, an educated guess and check will suffice. |2x|>|5-2x| 2|x|>2|(5-2x)/2| |x|>|5/2-x| If we guess x<0, you can see the equation becomes -x>5/2-x now add x to each side 0>5/2 This is NEVER true, which means that x must be greater than 0. Now if we try x>5/2 our...
  5. M

    Trouble with very basic algebra question

    You were very close in this one! when u plugged in x=4 and x=-1, you found the bounds of what x can or cannot be. All you need to do is try 3 situations. x<-1 , -1<x<4 , 4<x. If you try the numbers x=-2,1,5 you find the the statement becomes False,False,True that means that the correct answer...
  6. M

    Trouble with very basic algebra question

    The first one is pretty interesting. first u simply subtract "x" from each side to get (x+4)/(x-2)-x<0 now, to find a common denominator ((x+4)-x(x-2))/(x-2)<0 now, you CANT multiply each side by "x-2" because u don't know if x>2 or x<2 yet. Instead, just simplify some more...
  7. M

    Proof lim (x+1)^(1/x)=e

    No, because then "e" could equal to Zero.
  8. M

    Proof lim (x+1)^(1/x)=e

    Ill prove it for ya! Lets say that we have some variable called "y" and let's set it equal to (1+x)^(1/x). so far we have: y=(1+x)^(1/x) now let's take the natural log of each side to obtain Ln(y)=Ln((1+x)^(1/x)) now, we can pull out the "1/x" term in front of the "Ln(" [because...
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