since 92 is not divisible into 93 by a whole number ratio, 92/93 is already in lowest terms
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:
9c + 2d
Step-by-step explanation:
45c + 10d (divide by 5)
9c + 2d
Not 100% if this is how you do factor expression, but if it is then it is right
Hope this helps ya! Keep smiling!
Answer:
Part C
Step-by-step explanation:
You can just substitute the names for the numers: (all sugar was 3.5+0.75=4.25)
<span>a. granulated to brown sugar?
3.5:0.75
b. flour to brown sugar?
4.5:0.75
c. flour to all sugar?
4.5:4.25
but this looks ugly, so we can simplyfy it. Now, we can mupltiply all numbers by 100! (this will get rid of the .)
</span>
<span><span>a. granulated to brown sugar?
350:75
b. flour to brown sugar?
450:75
c. flour to all sugar?
450:425</span>
and they all are mupliples of 25, so let's divide all by 25!
</span>
<span>a. granulated to brown sugar?
14:3
b. flour to brown sugar?
18:3
c. flour to all sugar?
18:17
now they all look good, but the second one can still be simplified:
</span>
<span>a. granulated to brown sugar?
14:3
b. flour to brown sugar?
6:1
c. flour to all sugar?
18:17
that's the answer!
</span>
