Answer: 0.2
Step-by-step explanation:
We know that , the probability density function for uniform distribution is given buy :-
, where x is uniformly distributed in interval [a,b].
Given : The time to process a loan application follows a uniform distribution over the range of 8 to 13 days.
Let x denotes the time to process a loan application.
So the probability distribution function of x for interval[8,13] will be :-

Now , the probability that a randomly selected loan application takes longer than 12 days to process will be :-
![\int^{13}_{12}\ f(x)\ dx\\\\=\int^{13}_{12}\dfrac{1}{5}\ dx\\\\=\dfrac{1}{5}[x]^{13}_{12}\\\\=\dfrac{1}{5}(13-12)=\dfrac{1}{5}=0.2](https://tex.z-dn.net/?f=%5Cint%5E%7B13%7D_%7B12%7D%5C%20f%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E%7B13%7D_%7B12%7D%5Cdfrac%7B1%7D%7B5%7D%5C%20dx%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B5%7D%5Bx%5D%5E%7B13%7D_%7B12%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B5%7D%2813-12%29%3D%5Cdfrac%7B1%7D%7B5%7D%3D0.2)
Hence, the probability that a randomly selected loan application takes longer than 12 days to process = 0.2
The since ratio is formed by the side opposite the acute angle over the hypotenuse.
Y=6 x=2/3
y=12 x=?
6*2=12, 2/3*2=?
?=2*2/3
?=1 and 1/3
So 16 = 3.6, 10 = 2.3 so 20 = 4.6 then add 16 + 20 to get 36 so 3.6 + 4.6 = 8.2
36 ounces = 8.2 cups
36 = 8.2, 8 = 1.8, 20 = 4.6, 36 + 8 + 20 = 64 ounces so 8.2 + 1.8 + 4.6 = 14.6 cups
64 ounces = 14.6 cups
Total cups = 8.2 + 14.6 = 22.8 cups
40+3.50x5=57.50 so you purchased 5 movies for the total of 57.50 at the end of the month