A a heightened self consciousness
Umm your answer is dhdidbdkdkdnebskddjeneebebejeiurrbr
Ang emperyo ng Tsina ay sinakop ng halos 120,000 Manchus. ... Noong 1644, sinamantala ng Manchus ang paghihimagsik at kaguluhan sa emperyo ng Tsina at lumipat sa timog. Bumubuo ng isang alyansa sa isang loyalistang heneral ng Ming, pumasok sila sa Beijing noong Hunyo at halos agad na kumuha ng kapangyarihan para sa kanilang sarili.
Ang Manchu Conquest ng Tsina ay na-spark noong Abril 1618 nang magpalabas ng proklamasyon ang pinuno ng tribong Jurchen na si Nurhaci mula sa rehiyon ng Manchurian na naglilista ng pitong mga hinaing laban sa naghaharing dinastiyang Ming.
Finding the new mean is simple: If ![E[X]=10](https://tex.z-dn.net/?f=E%5BX%5D%3D10)
, then ![E[2X]=2E[X]=20](https://tex.z-dn.net/?f=E%5B2X%5D%3D2E%5BX%5D%3D20)
.
Meanwhile, the standard deviation is the square root of the variance, which is given by
![V[X]=E[X^2]-E[X]^2\implies V[2X]=E[(2X)^2]-E[2X]^2=4E[X^2]-(2E[X])^2](https://tex.z-dn.net/?f=V%5BX%5D%3DE%5BX%5E2%5D-E%5BX%5D%5E2%5Cimplies%20V%5B2X%5D%3DE%5B%282X%29%5E2%5D-E%5B2X%5D%5E2%3D4E%5BX%5E2%5D-%282E%5BX%5D%29%5E2)
![\implies V[2X]=4\underbrace{\left(E[X^2]-E[X]^2\right)}_{V[X]}=12](https://tex.z-dn.net/?f=%5Cimplies%20V%5B2X%5D%3D4%5Cunderbrace%7B%5Cleft%28E%5BX%5E2%5D-E%5BX%5D%5E2%5Cright%29%7D_%7BV%5BX%5D%7D%3D12)
and so the new standard deviation would be ![\sqrt{V[2X]}=\sqrt{12}=2\sqrt3](https://tex.z-dn.net/?f=%5Csqrt%7BV%5B2X%5D%7D%3D%5Csqrt%7B12%7D%3D2%5Csqrt3)
.
