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:

where c is the number of server (in this case, one server).
Answer:
1. 3
2. 1
3. 9
4. 30
Step-by-step explanation:
1. 2*(18/12) = 3
2. 3*(5/15) = 1
3. 4*(45/20) = 9
4. 21*(10/7) = 30
Answer: <em>A. 241 feet</em>
Step-by-step explanation:
<em>The figure shows two rectangular triangles.
</em>
<em>These triangles are similar since they have two identical angles:
</em>
<em>the first angle is 90 degrees;
</em>
<em>the second angle is equal because the law of reflection states that the angle of incidence is equal to the angle of reflection.
</em>
<em>The law of reflection states that the angle of incidence is equal to the angle of REFLECTION.</em>
<em>Let's make the proportion:</em>
<em />
<em />
<em>It takes a minimum of 100 feet for a parachute to open and safely land without injury, so:</em>
<em>341.25 - 100 = 241.25 (feet)</em>
<em>241.25 ≈ 241 (feet)</em>
<h3><u><em>My friends the answer is:
</em></u></h3><h3><u><em>
x-intercept(s): (
3
,
0
)
</em></u></h3><h3><u><em>y-intercept(s): (
0
,
6
) </em></u></h3>
Answer:- a.The given expression is equivalent to 
Given expression:- ![[\frac{(3xy^{-5})^3}{(x^{-2}y^2)^{-4}}]^{-2}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%283xy%5E%7B-5%7D%29%5E3%7D%7B%28x%5E%7B-2%7Dy%5E2%29%5E%7B-4%7D%7D%5D%5E%7B-2%7D)
![=[\frac{(3)^3x^3y^{-5\times3}}{x^{-2\times-4}y^{2\times-4}}]^{-2}.........(a^m)^n=a^{mn}](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B%283%29%5E3x%5E3y%5E%7B-5%5Ctimes3%7D%7D%7Bx%5E%7B-2%5Ctimes-4%7Dy%5E%7B2%5Ctimes-4%7D%7D%5D%5E%7B-2%7D.........%28a%5Em%29%5En%3Da%5E%7Bmn%7D)
![=[\frac{27x^3y^{-15}}{x^8y^{-8}}]^{-2}](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B27x%5E3y%5E%7B-15%7D%7D%7Bx%5E8y%5E%7B-8%7D%7D%5D%5E%7B-2%7D)
![=[27x^{3-8}y^{-15-(-8)}]^{-2}............\frac{a^m}{a^n}=a^{m-n}](https://tex.z-dn.net/?f=%3D%5B27x%5E%7B3-8%7Dy%5E%7B-15-%28-8%29%7D%5D%5E%7B-2%7D............%5Cfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D)
![=[27x^{-5}y^{-7}]^{-2}=(27)^{-2}(x^{-5})^{-2}(y^{-7})^{-2}.........(a^m)^n=a^{mn}](https://tex.z-dn.net/?f=%3D%5B27x%5E%7B-5%7Dy%5E%7B-7%7D%5D%5E%7B-2%7D%3D%2827%29%5E%7B-2%7D%28x%5E%7B-5%7D%29%5E%7B-2%7D%28y%5E%7B-7%7D%29%5E%7B-2%7D.........%28a%5Em%29%5En%3Da%5E%7Bmn%7D)

Thus a. is the right answer.