Answer:

Step-by-step explanation:
Since the sample size is quite large, we can use the z-distribution.
The margin of error is given by

Where n is the sample size, s is the sample standard deviation and
is the z-score corresponding to a 90% confidence level.
The z-score corresponding to a 90% confidence level is
Significance level = α = 1 - 0.90= 0.10/2 = 0.05
From the z-table at α = 0.05
z-score = 1.645

Therefore, the margin of error is 0.776.
If the graphs of the equations do not intersect
Step-by-step explanation:
p⁴+8p²q²+16q⁴
(p²)²+2×p²×4q²+(4q²)²
We know that,
Therefore,
- (p²)²+2×p²×4q²+(4q²)²
- (p²+4q²)²
- (p²+4q²)(p²+4q²)
Is just a set of two or more linear equations. In two variables (x and y) , the graph of a system of two equations is a pair of lines in the plane.