Answer:
C. x=13
Step-by-step explanation:
add the 13 to the -4 and you will get your 9
Answer:
Step-by-step explanation:
We have the following complex number 
, we proceed to simplify the expression as follows:
1) 
Given.
2) 
Definition of division.
3) ![[(5i)\cdot (-2-6i)^{-1}]\cdot [(-2+6i)\cdot (-2+6i)^{-1}]](https://tex.z-dn.net/?f=%5B%285i%29%5Ccdot%20%28-2-6i%29%5E%7B-1%7D%5D%5Ccdot%20%5B%28-2%2B6i%29%5Ccdot%20%28-2%2B6i%29%5E%7B-1%7D%5D)
Modulative and associative properties/Existence of the additive inverser
4) ![[(5i)\cdot (-2+6i)]\cdot [(-2-6i)^{-1}\cdot (-2+6i)^{-1}]](https://tex.z-dn.net/?f=%5B%285i%29%5Ccdot%20%28-2%2B6i%29%5D%5Ccdot%20%5B%28-2-6i%29%5E%7B-1%7D%5Ccdot%20%28-2%2B6i%29%5E%7B-1%7D%5D)
Commutative and associative properties.
5) ![[(5i)\cdot (-2+6i)]\cdot [(-2-6i)\cdot (-2+6i)]^{-1}](https://tex.z-dn.net/?f=%5B%285i%29%5Ccdot%20%28-2%2B6i%29%5D%5Ccdot%20%5B%28-2-6i%29%5Ccdot%20%28-2%2B6i%29%5D%5E%7B-1%7D)
6) ![[(5i)\cdot (-2+6i)]\cdot [4+36]^{-1}](https://tex.z-dn.net/?f=%5B%285i%29%5Ccdot%20%28-2%2B6i%29%5D%5Ccdot%20%5B4%2B36%5D%5E%7B-1%7D)
/Definition of complex number/ 
7) ![[(5i)\cdot (-2)+(5i)\cdot (6i)]\cdot 40^{-1}](https://tex.z-dn.net/?f=%5B%285i%29%5Ccdot%20%28-2%29%2B%285i%29%5Ccdot%20%286i%29%5D%5Ccdot%2040%5E%7B-1%7D)
Definition of sum.
8) 
/Associative and commutative properties.
9) 
Commutative properties/Definition of complex number/
10) 
Distributive property.
11) 
Definition of division/Result.
Which data set has an outlier? 25, 36, 44, 51, 62, 77 3, 3, 3, 7, 9, 9, 10, 14 8, 17, 18, 20, 20, 21, 23, 26, 31, 39 63, 65, 66,
umka21 [38]
It's hard to tell where one set ends and the next starts. I think it's
A. 25, 36, 44, 51, 62, 77
B. 3, 3, 3, 7, 9, 9, 10, 14
C. 8, 17, 18, 20, 20, 21, 23, 26, 31, 39
D. 63, 65, 66, 69, 71, 78, 80, 81, 82, 82
Let's go through them.
A. 25, 36, 44, 51, 62, 77
That looks OK, standard deviation around 20, mean around 50, points with 2 standard deviations of the mean.
B. 3, 3, 3, 7, 9, 9, 10, 14
Average around 7, sigma around 4, within 2 sigma, seems ok.
C. 8, 17, 18, 20, 20, 21, 23, 26, 31, 39
Average around 20, sigma around 8, that 39 is hanging out there past two sigma. Let's reserve judgement and compare to the next one.
D. 63, 65, 66, 69, 71, 78, 80, 81, 82, 82
Average around 74, sigma 8, seems very tight.
I guess we conclude C has the outlier 39. That one doesn't seem like much of an outlier to me; I was looking for a lone point hanging out at five or six sigma.
