Formula:
<span><span>
</span>
<span>
<span>Note: , where nPr is the formula for permutations of n objects taken r at a time.</span>
</span>
<span>
Example:
<span>How many different committees of 4 students can be chosen from a group of 15?
</span>
</span>
<span>
Answer:
<span>There are possible combinations of 4 students from a set of 15.</span>
</span>
<span>
<span>
There are 1365 different committees.</span></span></span>
So we know there are 5 red and 12 silver marbles, together making 16 marbles.
This would mean that there is a 5/17 chance of choosing a red marble.
When you do the math to convert 5/17 into a decimal, it turns into being a .29 chance.
Convert .29 into a decimal, and you know that you have a 29% chance of grabbing a red marble.
Hope this helped!
- Kathryn Irene
refer to the attachment hope it helps you :)
Y-y1=m(x-x1)
y-2=-4(x-5)
y-2=-4x+20
y-2+2=-4x+20+2
y=-4x+22
Answer:
Step-by-step explanation:
![y=f(x)=\dfrac 19 x +2\\\\\text{Replace x with y and then solve for y,}\\\\~~~~~~~x = \dfrac 19 y+2\\\\\implies 9x =y + 18~~~~~~~~~~~~~~~;[\text{Multiply both sides by 9}]\\ \\\implies y = 9x -18\\\\\implies f^{-1}(x) = 9x -18\\\\\text{Hence, the inverse of the given function is}~ f^{-1}(x) = 9x -18.](https://tex.z-dn.net/?f=y%3Df%28x%29%3D%5Cdfrac%2019%20x%20%2B2%5C%5C%5C%5C%5Ctext%7BReplace%20x%20with%20y%20and%20then%20solve%20for%20y%2C%7D%5C%5C%5C%5C~~~~~~~x%20%3D%20%5Cdfrac%2019%20y%2B2%5C%5C%5C%5C%5Cimplies%209x%20%3Dy%20%2B%2018~~~~~~~~~~~~~~~%3B%5B%5Ctext%7BMultiply%20both%20sides%20by%209%7D%5D%5C%5C%20%5C%5C%5Cimplies%20y%20%3D%209x%20-18%5C%5C%5C%5C%5Cimplies%20f%5E%7B-1%7D%28x%29%20%3D%209x%20-18%5C%5C%5C%5C%5Ctext%7BHence%2C%20the%20inverse%20of%20the%20given%20function%20is%7D~%20%20f%5E%7B-1%7D%28x%29%20%3D%209x%20-18.)
