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How do you Derive variance formula?
var(x) = E[(x - E(x))2] = E[(x - E(x)) (x - E(x))] <-------------Expand into brackets = E[x2 - xE(x) - xE(x) + (E(x))2] <---Simplify = E[x2 - 2xE(x) + (E(x))2] = E(x2) + E[-2xE(x)] + E[(E(x))2] = E(x2) - 2E[xE(x)] + E[(E(x))2] <---Bring (-2) constant outside = E(x2) - 2E(x)E[E(x)] + E[(E(x))2] <--- E[xE(x)] = E(x)E(x) = E(x2) - 2E(x)E(x) + [E(x)]2 <----------E[E(x)] = E(x) = E(x2) - 2[E(x)]2 + [E(x)]2 var(x) = E(x2) - [E(x)]2
If a plus b equals e what is e plus d?
if a + b = e. e + d = e + d. that's the answer: e + d or it could be e + d = (a + b) + d but in simplest form, its e + d
What are the piano scales of E minor?
There can be E natural, harmonic or melodic minor. E natural minor: E Fsharp G A B C D E. E harmonic minor: E Fsharp G A B C Dsharp E. E melodic minor: E Fsharp G A B Csharp Dsharp E Dnatural Cnatural B A G Fsharp E.
How would i simplify e cubed over cube root of e squared multiplied by e to the power of thirteen?
Cube root is the same as to the power of a third; when multiplying/dividing powers of a number add/subtract the powers; when a power is to another power, multiply the powers; as it is all e to some power: e³/(e²)^(1/3) × e^13 = e³/e^(2/3) × e^13 = e^(3 - 2/3 + 13) = e^(15 1/3) = e^(46/3) Which can also be expressed as "the cube root of (e to the power 46)" or "(the cube root of e) to the power 46".
What is the symbol of the number e?
e is the symbol of the number e
