Answer: 120 ways
Step-by-step explanation: In this problem, we're asked how many ways can 5 people be arranged in a line.
Let's start by drawing 5 blanks to represent the 5 different positions in the line.
Now, we know that 5 different people can fill the spot in the first position. However, once the first position is filled, only 4 people can fill the second spot and once the second spot is filled, only 3 people can fill the third spot and so on. So we have <u>5</u> <u>4</u> <u>3</u> <u>2</u> <u>1</u>.
Now, based on the counting principle, there are 5 x 4 x 3 x 2 x 1 ways for all 5 spots to be filled.
5 x 4 is 20, 20 x 3 is 60, 60 x 2 is 120, and 120 x 1 is 120.
So there are 120 ways for all 5 spots to be filled which means that there are 120 ways that 5 people can be arranged in a line.
I have also shown my work on the whiteboard in the image attached.
Answer:
that looks to be a 45 degree angle but I'm not sure
Answer:

Step-by-step explanation:
Given
See attachment for the distribution
Required
Find p
To find p, we make use of:

So, we have:


Make p the subject


Answer:
Step-by-step explanation:
number 2= 2 (rounded)
same thing for 1
Brain dump....
have you ever heard the expression cave in ? when u see something (cave in) it looks like crater right?
so just like that you know to draw to crater like objects perpendicular from each other
perpendicular means <span>at an angle of 90° to a given line, plane, or surface.</span>