Answer:
I'll say 25 but not too sure!
Answer:
x = 710
Step-by-step explanation:
1. Divide both sides by 2 to get x by itself
1420 = 2x
↓
1420 ÷ 2 = 2x ÷ 2
↓
710 = x
2. Switch sides
710 = x
↓
x = 710
I know it is not one of your options but that is the answer to 1420 = 2x
When you add the decimals it’s the same as regular adding. You line up the decimals and then add all the way across and when you get to the decimal carry it down
The answer is B
The correct inverse of 3x+1 is actually (1/3)x - 1/3
plug in 10 to the inverse
10/3 - 1/3 = 9/3 or 3
this gives you the point (10,3)
Answer:
c) 2
d) 0.96
Step-by-step explanation:
We are given the following in the question:

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.

c) mean of the distribution

d) probability that the size of random particle will be less than 5 micrometers
