Answer:
The estimate is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 522
The sample proportion of students would like to talk about school is 
Given that the confidence level is 90 % then the level of significance can be mathematically evaluated as



Next we obtain the critical value of
from the normal distribution table, the value is

Generally the margin of error can be mathematically represented as

=> 
=> 
Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is

substituting values

The answer is 1.9 gallons
The rectangle maximum area will be A=9 square units with the length=3 and the width=3.
<h3>What is area of rectangle?</h3>
Area is defined as the space occupied by a plane or rectangle having length and width in two dimensional plane.
It is given that the perimeter of rectangle is P=12
So from the formula of perimeter of rectangle
2(L+W)=12
L+W=6
L=6-W
Now the area of rectangle will be
A=LxW
A=(6-W)W
Now for maximum area we will find the derivative and equate to zero.




So the area will be

Hence the rectangle maximum area will be A=9 square units with the length=3 and the width=3.
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