Answer:
(
−
∞
,
∞
)
Step-by-step explanation:
D....................................................................................................................
YES!!! 2.78778777 is an irrational number because it has endless numbers, and a irrational number cant be put as a fraction but rational numbers can be put as a fractio!!
Answer:
6580cm
Step-by-step explanation:
The answer is 6580cm because....
Step one First let's figure out what the smaller shape's volume is. To do so we need to multiply ( LxWxH ) so 6x5x? it does not list what the height is so we know it has the same height as the larger shape and it's height is 14cm so we will use 14cm. 6x5x14=420cm
Step two Now lets find the Volume of the larger shape. So lets do LxWxH so Lx?x14 it does not give us the length so we need to add up all of the numbers along the line. We got 7cm then 5 from the bottom of the smaller shape and 10cm. all ads up to 22cm so 20x22x14=6160
Finally we add up the following shapes Volume which are 6160+420=6580cm
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
