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
Hope this answer helps you! If it did, please mark it as the brainiest! I would really appreciate it! :)
The probability of senior citizens suffer from sleep disorders is

The probability of senior citizens suffer from anxiety is,0.09.

The probability of seniors suffer from both sleep disorders and anxiety is,

a. The probability that a senior citizen suffers from anxiety, given that he or she has a
sleep disorder.


These Are Less Than(<) and Greater Than(>) Symbols!!
Hope This Helps!!!