
I can't graph it right now but just graph the values where x is greater than or equal to 5
Using a tree diagram you can see that the probability is 1/(7^7) or 1/823543. This is about 0.0001%
Answer:
0.25
Step-by-step explanation:
the unit rate in this case is the cost per line, you decide 2.00 by 8
2.00/8=0.25
Answer:
Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder
Step-by-step explanation:
Here we have the volume of a cylinder given by
Volume of a cylinder = πr²h
Where the cylinder is cut by a plane into portions of heights, bottom a and top b we have
Height of bottom of is then
Height = h - b
Therefore, volume of bottom of cylinder = π·r²h = π·r²(h - b)
Volume of bottom of cylinder = π·r²·h - π·r²b
Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder.
Answer:

Step-by-step explanation:
The Fundamental Theorem of Calculus states that:
![\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%20%5Cint_a%5Ex%20f%28t%29%5C%2C%20dt%20%20%5Cright%5D%20%3D%20f%28x%29)
Where <em>a</em> is some constant.
We can let:

By substitution:

Taking the derivative of both sides results in:
![\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20g%27%28s%29%20%3D%20%5Cfrac%7Bd%7D%7Bds%7D%5Cleft%5B%20%5Cint_6%5Es%20g%28t%29%5C%2C%20dt%5Cright%5D)
Hence, by the Fundamental Theorem:
