X=length
y=width
Area (rectangle)=length x width
we suggest this system of equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2 it does not validate
x₂=3/2 ⇒y=x/5=(3/2)/5=3/10
The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles
to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒ 3/10 miles=(3/2) /5 miles
Make sure you go ahead and plot your point on the graph that you are using dilation means the graph got smaller then the original graph so starting from your original point your going to rotate it on the graph to your new point which is 1/2
All to red 13:8
Green to all 5:13
Answer:

We can conclude that the difference between the two means are between -0.223 and 0.988.
And for this case the confidence interval contains the value of 0 so then we have enough evidence to conclude that we don't have significant difference between the means of Silver Queen and the Country Gentlemen.
Step-by-step explanation:
For this case we have the following interval for the difference between Silver Queen - Country Gentlemen:

We can conclude that the difference between the two means are between -0.223 and 0.988.
And for this case the confidence interval contains the value of 0 so then we have enough evidence to conclude that we don't have significant difference between the means of Silver Queen and the Country Gentlemen.