Option A:
The another name for ∠1 is ∠JLK.
Solution:
How to Label Angles
:
There are two main ways to label angles:
1. Give the angle name by a number or a lower case letters.
2. The second way to name the angle is indicating by the vertex.
Usually the angle is denoted by three letters.
First letter and the second letter denotes the arms of the angle and the middle of the letter denotes the angle (its vertex).
To find the another name for ∠1.
The arms of the angle are LJ and LK and the vertex is L.
So, the name of the angle is ∠JLK.
Middle letter is the actual angle.
Therefore the another name for ∠1 is ∠JLK.
Option A is the correct answer.
Cause if its only 19 hours worked is that the whole week? in that case itd be 19*5.75 = 109.25
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
