Answer: Yes, they are equal
Step-by-step explanation:
Quick statement: To find equivalent fractions, multiply or divide them by the same number.
In this particular example, you can divide 182 by 7 and get 26 and 21 by 7 to get 3. This symbols that they are equal. If you try the inverse operation (multiplication), you could multiply 26 by 7 and get 182. Same goes for 21 and 3: you multiply 3 by 7 to get 21. Just remember to multiply or divide the two numbers (numerator and denominator) by the same number to get an equivalent fraction.
The measure of all the angles is given below:
angle 1= 30
angle 2= 150
angle 3= 30
angle 4= 150
angle 5= 30
angle 6= 150
angle 7= 30
angle 8= 73.5
<h3>What is angle?</h3>
An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
As,
angle 1= 30 (Vertically opposite angle)
angle 7= 30 (corresponding angle)
angle 4+30= 180 (linear pair)
angle 4= 150
angle 4= angle 2= 150 (Vertically opposite angle)
angle 2= angle 6= 150 (corresponding angle)
angle 1= angle 5= 30 (corresponding angle)
angle (2x+3)= angle 4 (corresponding angle)
2x+3= 150
x= 73.5
Lean more about angle here:
brainly.com/question/13954458
#SPJ1
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
