The sample space is all the possible outcomes from a trial/trials;
In this case, it is all the possible coins that you can pick from;
If you are picking multiple coins, how many of each and in what order you pick them also contribute to the sample space, i.e. they produce other possible outcomes:
<span>7 quarters, 2 dimes, 5 nickels or 11 pennies.
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Look for an integrating factor 
:
Multiply both sides by 
:
Condense the left side as the derivative of a product:
![\dfrac{\mathrm d}{\mathrm dt}\left[(t+1)^{-7/9}y\right]=\dfrac{14}9t(t+1)^{-16/9}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5B%28t%2B1%29%5E%7B-7%2F9%7Dy%5Cright%5D%3D%5Cdfrac%7B14%7D9t%28t%2B1%29%5E%7B-16%2F9%7D)
Integrate both sides:
For the integral on the right, substitute
Given that 
, we get
The lowest mixed number for this number would be 55009/5000. Hope that helped.
Answer:
brainliest plzzz
Step-by-step explanation:
y = 2x
Let x = 1.5
y = 2*1.5
y = 3
Let x= 4
y = 2*4
y = 8
Pick 2 sets of points from ur table...
(-4,-16)(-2,-6)
slope = (y2 - y1) / (x2 - x1)
slope = (-6 - (-16) / (-2 - (-4) = (-6 + 16) / (-2 + 4) = 10/2 = 5
u could pick any 2 of ur sets of points.....it will come out the same...let me show you...
(2,14)(4,24)
slope = (y2 - y1) / (x2 - x1)
slope = (24 - 14) / (4 - 2) = 10/2 = 5...see, it is the same no matter what 2 sets of points u choose)
