2(3x-20+4x+10)=2(3x+30)+6x
14x-20=12x+60
2x=80
X=40
The duration of the class is uniformly distributed with a minimum of 50.0 minutes and a maximum of 52.0 minutes. This means the random variable for class duration

has density function
![f_X(x)=\begin{cases}\dfrac1{52.0-50.0}=\dfrac12&\text{for }50.0\le x\le52.0\\[1ex]0&\text{otherwise}\end{cases}](https://tex.z-dn.net/?f=f_X%28x%29%3D%5Cbegin%7Bcases%7D%5Cdfrac1%7B52.0-50.0%7D%3D%5Cdfrac12%26%5Ctext%7Bfor%20%7D50.0%5Cle%20x%5Cle52.0%5C%5C%5B1ex%5D0%26%5Ctext%7Botherwise%7D%5Cend%7Bcases%7D)
You're looking for the probability that the class runs less than 51.5 minutes, or

, which is given by the integral
3x - 5y = -13
put this into slope form of y = 3/5x + 13/5
the perpendicular to 3/5 would be -5/3
the answer is -5/3
5th term = 4096 * (1/4)^(5-1) = 4096 * 1/256 = 16
She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookies.
86 / 2 = 43 chocolate chips cookies
42 / 1 = 42 sugar cookies
Though the chocolate chip cookies can make 43 packs, the sugar cookies cannot fulfill the extra pack for it only has 42 pieces. That is why the maximum number of package that has identical content is 42 packages.