Answer:
Slope: −14y-intercept: (0,1)
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
You do 3 divided by 15 which is 0.2, or 20 percent.
Answer:
c) 2
d) 0.96
Step-by-step explanation:
We are given the following in the question:
![f(x) = 2x^{-3}, x > 1\\~~~~~~~= 0, x \leq 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%202x%5E%7B-3%7D%2C%20x%20%3E%201%5C%5C~~~~~~~%3D%200%2C%20x%20%5Cleq%201)
a) probability density function.
![\displaystyle\int^{\infty}_{\infty}f(x) dx = 1\\\\\displaystyle\int^{\infty}_{-\infty}2x^{-3}dx = 1\\\\\displaystyle\int^{\infty}_{1}2x^{-3}dx\\\\\Rightarrow \big[-x^{-2}\big]^{\infty}_1\\\\\Rightarrow -(0-1) = 1](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5E%7B%5Cinfty%7D_%7B%5Cinfty%7Df%28x%29%20dx%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E%7B%5Cinfty%7D_%7B-%5Cinfty%7D2x%5E%7B-3%7Ddx%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E%7B%5Cinfty%7D_%7B1%7D2x%5E%7B-3%7Ddx%5C%5C%5C%5C%5CRightarrow%20%5Cbig%5B-x%5E%7B-2%7D%5Cbig%5D%5E%7B%5Cinfty%7D_1%5C%5C%5C%5C%5CRightarrow%20-%280-1%29%20%3D%201)
Thus, it is a probability density function.
b) cumulative distribution function.
![P(X](https://tex.z-dn.net/?f=P%28X%3Cx%29%20%3D%20%5Cdisplaystyle%5Cint%5E%7Bx%7D_%7B1%7D2x%5E%7B-3%7Ddx%5C%5C%5C%5CP%28X%3Cx%29%3D%5Cbig%5B-%28x%5E%7B-2%7D%29%5Cbig%5D%5E%7Bx%7D_%7B1%7D%5C%5C%5C%5CP%28X%3Cx%29%3D-%5Cbigg%28%5Cdfrac%7B1%7D%7Bx%5E2%7D-1%5Cbigg%29%20%3D%201%20-%20%5Cdfrac%7B1%7D%7Bx%5E2%7D)
c) mean of the distribution
![\mu = \displaystyle\int^{\infty}_{-\infty}xf(x) dx\\\\\mu = \int^{\infty}_12x^{-2}dx\\\\\mu = (-\frac{2}{x})^{\infty}_{1}\\\\\mu = 2](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5Cdisplaystyle%5Cint%5E%7B%5Cinfty%7D_%7B-%5Cinfty%7Dxf%28x%29%20dx%5C%5C%5C%5C%5Cmu%20%3D%20%5Cint%5E%7B%5Cinfty%7D_12x%5E%7B-2%7Ddx%5C%5C%5C%5C%5Cmu%20%3D%20%28-%5Cfrac%7B2%7D%7Bx%7D%29%5E%7B%5Cinfty%7D_%7B1%7D%5C%5C%5C%5C%5Cmu%20%3D%202)
d) probability that the size of random particle will be less than 5 micrometers
![P(X](https://tex.z-dn.net/?f=P%28X%3C5%29%3D%201%20-%20%5Cdfrac%7B1%7D%7B%285%29%5E2%7D%20%3D%200.96)
Do it both side +5 . Then that 23 will be 28.so the question will be 4a=28.
then diveded by 4 both side.
A will be 7.
Your answer is "7"
28÷4=7 ^^
Well, number 1 is A, or p = 6t. This is because the number of points is equal to the number of touchdowns times six. *6 = (6)(1) *12 = (6)(2) *18 = (6)(3), etc