Answer:
The variance of these investment returns is 74
Step-by-step explanation:
Given:
Series = 10, 30, 15, 5, 20
To Find:
variance of a series = ?
Solution:
The variance of the series = 



Now

= 
= 36 + 196 +121 + 1+ 16
= 370
Now
= 74
Law of sines can be used to solve this problem:
(note - let x represent the missing side length.)
1. set up proportion.
sin 90°/25 = sin 55<span>°/x
2. solve.
(x) sin 90</span>° = (25) sin 55<span>°
(x) sin 90 </span>°/sin 90° = (25) sin 55° / sin 90<span>°
</span>
x = 20.4788011072
rounded to nearest tenth = 20.5
Answer:

Step-by-step explanation:
Length of the rectangle = 
Width of the rectangle = 
<u>Area of the rectangle:</u>
= Length × Width
![\displaystyle = \frac{9}{4} \times \frac{17}{5} \\\\= \frac{9 \times 17}{4 \times 5} \\\\= \frac{153}{20} \\\\= 7 \frac{13}{20} \ in.^2\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%3D%20%5Cfrac%7B9%7D%7B4%7D%20%5Ctimes%20%5Cfrac%7B17%7D%7B5%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B9%20%5Ctimes%2017%7D%7B4%20%5Ctimes%205%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B153%7D%7B20%7D%20%5C%5C%5C%5C%3D%207%20%5Cfrac%7B13%7D%7B20%7D%20%5C%20in.%5E2%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Answer: v= 32-f
Step-by-step explanation: hope this helps! Have a good day!