The answer multiplied if it doubled the its times 2 tripled it’s timeS 3 quadruple then times 4
You can compute both the mean and second moment directly using the density function; in this case, it's

Then the mean (first moment) is
![E[X]=\displaystyle\int_{-\infty}^\infty x\,f_X(x)\,\mathrm dx=\frac1{80}\int_{670}^{750}x\,\mathrm dx=710](https://tex.z-dn.net/?f=E%5BX%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20x%5C%2Cf_X%28x%29%5C%2C%5Cmathrm%20dx%3D%5Cfrac1%7B80%7D%5Cint_%7B670%7D%5E%7B750%7Dx%5C%2C%5Cmathrm%20dx%3D710)
and the second moment is
![E[X^2]=\displaystyle\int_{-\infty}^\infty x^2\,f_X(x)\,\mathrm dx=\frac1{80}\int_{670}^{750}x^2\,\mathrm dx=\frac{1,513,900}3](https://tex.z-dn.net/?f=E%5BX%5E2%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20x%5E2%5C%2Cf_X%28x%29%5C%2C%5Cmathrm%20dx%3D%5Cfrac1%7B80%7D%5Cint_%7B670%7D%5E%7B750%7Dx%5E2%5C%2C%5Cmathrm%20dx%3D%5Cfrac%7B1%2C513%2C900%7D3)
The second moment is useful in finding the variance, which is given by
![V[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2=\dfrac{1,513,900}3-710^2=\dfrac{1600}3](https://tex.z-dn.net/?f=V%5BX%5D%3DE%5B%28X-E%5BX%5D%29%5E2%5D%3DE%5BX%5E2%5D-E%5BX%5D%5E2%3D%5Cdfrac%7B1%2C513%2C900%7D3-710%5E2%3D%5Cdfrac%7B1600%7D3)
You get the standard deviation by taking the square root of the variance, and so
![\sqrt{V[X]}=\sqrt{\dfrac{1600}3}\approx23.09](https://tex.z-dn.net/?f=%5Csqrt%7BV%5BX%5D%7D%3D%5Csqrt%7B%5Cdfrac%7B1600%7D3%7D%5Capprox23.09)
Answer: 31 - 3n
Step-by-step explanation:
step one:
25 - 28 = -3
22 - 25 = -3
19 - 22 = -3
d = -3
Step two:
An = a1 + (n-1) d
= 28 + (n-1) -3
= 28 - 3n + 3
= 31 - 3n
a1= 28 d = 3
Your answer is d, you can not use 6 and the equation be right.
Answer:
Martha is wrong.
Step-by-step explanation:
Let the cost of the house is C.
Payment by Ranee = 40% of the cost
=40% of C
=
=0.40 C
Payment by Susan = 0.35 of the cost
=0.35 C
Combined payment by Ranee and Susan = 0.40C + 0.35C=0.75C
The remaining payment will be done by Martha.
So, the remaining payment = C- 0.75C=0.25 C
Hence, Martha will have to pay 0.25 of the cost or 25% of the cost.
So, Martha is wrong.