Answer:
a = -3
Step-by-step explanation:
3a - 6a + 2 = 8a + 20 - 5a
Combine Like Terms
-3a + 2 = 3a + 20
-2 -2
-------------------------------------
-3a = 3a + 18
-3a -3a
-------------------------------------
-6a = 18
---- ----
-6 -6
a = -3
Answer:
200
Step-by-step explanation:
Answer:
a) 7.79%
b) 67.03%
c) Cumulative Distribution Function
Step-by-step explanation:
We are given the following in the question:
where x is the duration of a call, in minutes.
a) P( calls last between 2 and 3 minutes)
![=\displaystyle\int^3_2 p(x)~ dx\\\\= \displaystyle\int^3_20.1e^{-0.1x}~dx\\\\=\Big[-e^{-0.1x}\Big]^3_2\\\\=-\Big[e^{-0.3}-e^{-0.2}\Big]\\\\= 0.0779\\=7.79\%](https://tex.z-dn.net/?f=%3D%5Cdisplaystyle%5Cint%5E3_2%20p%28x%29~%20dx%5C%5C%5C%5C%3D%20%5Cdisplaystyle%5Cint%5E3_20.1e%5E%7B-0.1x%7D~dx%5C%5C%5C%5C%3D%5CBig%5B-e%5E%7B-0.1x%7D%5CBig%5D%5E3_2%5C%5C%5C%5C%3D-%5CBig%5Be%5E%7B-0.3%7D-e%5E%7B-0.2%7D%5CBig%5D%5C%5C%5C%5C%3D%200.0779%5C%5C%3D7.79%5C%25)
b) P(calls last 4 minutes or more)
![=\displaystyle\int^{\infty}_4 p(x)~ dx\\\\= \displaystyle\int^{\infty}_40.1e^{-0.1x}~dx\\\\=\Big[-e^{-0.1x}\Big]^{\infty}_4\\\\=-\Big[e^{\infty}-e^{-0.4}\Big]\\\\=-(0- 0.6703)\\= 0.6703\\=67.03\%](https://tex.z-dn.net/?f=%3D%5Cdisplaystyle%5Cint%5E%7B%5Cinfty%7D_4%20p%28x%29~%20dx%5C%5C%5C%5C%3D%20%5Cdisplaystyle%5Cint%5E%7B%5Cinfty%7D_40.1e%5E%7B-0.1x%7D~dx%5C%5C%5C%5C%3D%5CBig%5B-e%5E%7B-0.1x%7D%5CBig%5D%5E%7B%5Cinfty%7D_4%5C%5C%5C%5C%3D-%5CBig%5Be%5E%7B%5Cinfty%7D-e%5E%7B-0.4%7D%5CBig%5D%5C%5C%5C%5C%3D-%280-%090.6703%29%5C%5C%3D%200.6703%5C%5C%3D67.03%5C%25)
c) cumulative distribution function
Answer:
That's called system of equations. it is like adding and subtracting.
Step-by-step explanation:
first you want to find x or y. i will choose x. in order to do that you need to put one, ill do the first one but you can do first or second, and change it to negative (-6x+6y=6) or -(-6x+6y=6), changing it to 6x - 6y = -6. then the two x's will be cancled since 6-6 is 0. now you add 6y and 3y, and 6 with -12. get your answer, and do the same thing to y, too. sorry if its a bit confusing, took me a while to learn it too. this is highschool stuff so thats why you will although im im middle too!
78.74 divided by 12.7 is equivalent to 7874 divided by 12.70, 78.74/12.7=7874÷1270=6.200 calculating 3 decimle places
