Fiona recorded the number of miles she biked each day last week as shown below:
[tex]$4, 7, 4, 10, 5$[/tex]
The mean is given by [tex]$m = 6$[/tex]. Which equation shows the variance for the number of miles Fiona biked last week?
A. [tex]$s^2=\frac{(4-6)^2+(7-6)^2+(4-6)^2+(10-6)^2+(5-6)^2}{6}$[/tex]
B. [tex]$\sigma=\sqrt{\frac{(4-6)^2+(7-6)^2+(4-6)^2+(10-6)^2+(5-6)^2}{5}}$[/tex]
C. [tex]$S=\sqrt{\frac{(4-6)^2+(7-6)^2+(4-6)^2+(10-6)^2+(5-6)^2}{4}}$[/tex]
D. [tex]$2(4-6)^2+(7-6)^2+(4-6)^2+(10-6)^2+(5-6)^2$[/tex]
Answer (2)
Area is w*l and w = 5 4 l , thus the area is 5 4 l 2 . Make it equal to 320 and you get l 2 = 400 , thus l = ± 20 , the minus one not being meaningful in our context. Thus the length is 20, while the width is 16.
The dimensions of the room are 20 units in length and 16 units in width. This is found by using the area formula along with the relationship between width and length. The area is calculated as 320 = w × l and substituting w = 5 4 l leads to the solution.
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