Answer: 0.025
Step-by-step explanation:
Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between the interval [48.0 minutes, 58.0 minutes].
The probability density function :-
Now, the probability that a given class period runs between 50.25 and 50.5 minutes is given by :-
![\int^{50.5}_{50.25}\ f(x)\ dx\\\\=\int^{50.5}_{50.25}\ \dfrac{1}{10}\ dx\\\\=\dfrac{1}{10}|x|^{50.5}_{50.25}\\\\=\dfrac{1}{10}\ [50.5-50.25]=\dfrac{1}{10}\times(0.25)=0.025](https://tex.z-dn.net/?f=%5Cint%5E%7B50.5%7D_%7B50.25%7D%5C%20f%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E%7B50.5%7D_%7B50.25%7D%5C%20%5Cdfrac%7B1%7D%7B10%7D%5C%20dx%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B10%7D%7Cx%7C%5E%7B50.5%7D_%7B50.25%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B10%7D%5C%20%5B50.5-50.25%5D%3D%5Cdfrac%7B1%7D%7B10%7D%5Ctimes%280.25%29%3D0.025)
Hence, the probability that a given class period runs between 50.25 and 50.5 minutes =0.025
Similarly , the probability of selecting a class that runs between 50.25 and 50.5 minutes = 0.025
The easiest way to think about this is to give all of the numbers common denominators:
1 can be written as 6/6
0 can be written as 0/6
Now we can see that 5/6 is only 1/6 away from 1, while it is 5/6 away from 0.
So, 5/6 is closer to 1!
Quotient of a number x and 45?
is equal to x45
Answer:
Answer = C
Step-by-step explanation:
When solving a two-step equation, you will always need to undo the addition and subtraction first.
Partial quotient is one of the ways of dividing expressions and numbers.
- The value that goes into the box is 2.
- The quotient is 22.
The quotient is given as:
The first step is:
The next step is:
![\mathbf{32 - ([\ ] \times 16) = 0}](https://tex.z-dn.net/?f=%5Cmathbf%7B32%20-%20%28%5B%5C%20%5D%20%5Ctimes%2016%29%20%3D%200%7D)
Represent the blank with x
So, we have:
Collect like terms
Divide both sides by 2
So, the value that goes into the box is 2.
The quotient is then calculated as:
Hence, the quotient is 22.
Read more about partial quotients at:
brainly.com/question/830526
