Answer:
n(U)=200
n(M)=140
n(S)=120
n(MuS)complement=40
n(MuS)=n(U)-n(MuS)complement
=200-40
=160
n(MnS)=n(M)+n(S)-n(MuS)
=140+120-160
=260-160
=100
Answer:

Step-by-step explanation:
As I mentioned earlier with a single side (line), rotations do not change the size of something. Only dilations do that. This goes for both lines AND shapes.
However, if the question said she dilated the piece, then yes, the length in inches would be different. However, rotation just changes the position and nothing happens to the length.
Hope this helped!
It is 4pi/7, or b. Just want to help ;)
Answer: a=36; b=18
Step-by-step explanation:
1. You know that the sum of two numbers is 54, then, you have:
a+b=54
2. According to the problem, the larger number is 18 more than the sampler number, this can be expressed as following:
a=b+18
3. Then, you must substitute the second equation into the first equation and solve for b:
b+18+b=54
b=18
4. Then the value of a is:
a+18=55
a=36
Answer:

Step-by-step explanation:
Given
The attached probability distribution of x
Required
Find 
To do this, we consider all values of x less than or equal to-3.
So, we have:

From the table:


So, the equation becomes


