Answer: 0.0250
Step-by-step explanation:
Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 60.0 minutes.
We know that the uniform distribution is also known as rectangular distribution.
Density function for uniform distribution :

Now, the probability that a given class period runs between 51.25 and 51.5 minutes :-
![\int^{51.5}_{51.25}f(x)\ d(x)\\\\ \int^{51.5}_{51.25}\dfrac{1}{10}\ dx\\\\=\dfrac{1}{10} [x]^{51.5}_{51.25}\\\\=\dfrac{1}{10}(51.5-51.25)=0.0250](https://tex.z-dn.net/?f=%5Cint%5E%7B51.5%7D_%7B51.25%7Df%28x%29%5C%20d%28x%29%5C%5C%5C%5C%20%5Cint%5E%7B51.5%7D_%7B51.25%7D%5Cdfrac%7B1%7D%7B10%7D%5C%20dx%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B10%7D%20%5Bx%5D%5E%7B51.5%7D_%7B51.25%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B10%7D%2851.5-51.25%29%3D0.0250)
Hence, the probability that a given class period runs between 51.25 and 51.5 minutes = 0.0250
Answer:
its 2/6 simplified. lol
Step-by-step explanation:
10=3
50=15
because you do 3×5 which is 15.
~JZ
Hope it helps
Answer:
4z + 2 - 5/2z
Step-by-step explanation:
8z^2 + 4z -5
divided by 2z
8z^2 /2z = 4z
4z/2z =2
5/2z = 5/2z
Putting them back together
4z + 2 - 5/2z