Answer:
3/8 (Decimal: 0.375)
Step-by-step explanation:
Answer: Polynomial
Step-by-step explanation:
Answer:
x = 4.
Step-by-step explanation:
I am assuming that you want to find the values of x and that WXYZ is a parallelogram.
In a parallelogram opposite sides are equal, therefore:
11x + 1 = 19x - 31
1 + 31 = 19x - 11x
32 = 8x
x = 32/8 = 4.
Start off by combining like terms on the LHS (the terms with x in them).
So we get
![\frac{-1}{3}x+2x= \frac{-1}{3}x+ \frac{6}{3}x= \frac{-5}{3}x](https://tex.z-dn.net/?f=%20%5Cfrac%7B-1%7D%7B3%7Dx%2B2x%3D%20%5Cfrac%7B-1%7D%7B3%7Dx%2B%20%5Cfrac%7B6%7D%7B3%7Dx%3D%20%5Cfrac%7B-5%7D%7B3%7Dx%20%20%20)
Replacing this result with what we had before on the LHS, we get
![\frac{-5}{3}x=3 \frac{3}{4}= \frac{9}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-5%7D%7B3%7Dx%3D3%20%5Cfrac%7B3%7D%7B4%7D%3D%20%5Cfrac%7B9%7D%7B4%7D%20%20%20)
⇒Solve for x (divide both sides
![\frac{-5}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-5%7D%7B3%7D%20)
)
⇒Don't forget about reciprocity rules when dividing. This is the same as multiplying both sides by
![\frac{3}{-5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B-5%7D%20)
⇒
![x= \frac{9}{4}( \frac{3}{-5}) ](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B9%7D%7B4%7D%28%20%5Cfrac%7B3%7D%7B-5%7D%29%0A%20%20)
⇒
![x= -\frac{27}{20}=-1\frac{7}{20}](https://tex.z-dn.net/?f=x%3D%20-%5Cfrac%7B27%7D%7B20%7D%3D-1%5Cfrac%7B7%7D%7B20%7D)
***This is a proper fraction
Answer:
The answer is B) 0.57.
Step-by-step explanation:
In this problem we have to apply queueing theory.
It is a single server queueing problem.
The arrival rate is
and the service rate is
.
The proportion of time that the server is busy is now as the "server utilization"and can be calculated as:
![p=\frac{\lambda}{c\mu} =\frac{4}{1*7}=0.57](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B%5Clambda%7D%7Bc%5Cmu%7D%20%3D%5Cfrac%7B4%7D%7B1%2A7%7D%3D0.57)
where c is the number of server (in this case, one server).