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)
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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)
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Answer:
1- He started his speech making reference to the sky and it´s infinit limits, mentioning their birth rights as part of the land , the country and the spirits that sorround that area.
2- The white ones wanted to eliminate the Native Americans´culture from the American continent, but he made some comments on their culture and beliefs. For him the mith is truely relevant because he mentions that the natives still pay homage to teir deads. They leave the alive world but are still walking around them, observing, communicating and influencing their acts
Answer:
The symbol at the front of the stave is called a treble clef. The clef defines which pitches will be played and shows if it's a low or high instrument.
Explanation:
hope this help have a great day
F(x) = x²-x
g(x) =1/x
1) h(x) =f(x) -g(x) = (x²-x) - (1/x) = (x³-x²)/x (x≠0) =>
2)h(x) =f(x).g(x) = (x²-x).(1/x) =x(x²-1)
3)h(x) = f(g(x)) = (1/x)²-(1/x)
