Most likely not.
The reason behind this is that the random participants only include just under 10% of the population. This has the ability to oversee minority judgement.
Cluster sampling should be used. This splits the population up into groups. For instance, we could split it up by race and sample that way. Or split it up by net worth. Or occupation. Whatever works best for this survey!
Hope I helped!
Answer:
C) One vertical but no horizontal
Step-by-step explanation:
Use implicit differentiation to find dy/dx.
xy² = 2 + xy
x (2y dy/dx) + y² = x dy/dx + y
(2xy − x) dy/dx = y − y²
dy/dx = (y − y²) / (2xy − x)
When the tangent lines are horizontal, dy/dx = 0.
0 = (y − y²) / (2xy − x)
0 = y − y²
0 = y (1 − y)
y = 0 or 1
When the tangent lines are vertical, dy/dx is undefined, so the denominator is 0.
0 = 2xy − x
0 = x (2y − 1)
x = 0, y = 1/2
There are two possible points where there can be a horizontal tangent line, and two possible points where there can be a vertical tangent line. Plug all back into the original equation to see which are actual points.
If y = 0:
x(0)² = 2 + x(0)
0 = 2
No solution.
If y = 1:
x(1)² = 2 + x(1)
x = 2 + x
0 = 2
No solution.
If x = 0:
(0)y² = 2 + (0)y
0 = 2
No solution.
If y = 1/2:
x(1/2)² = 2 + x(1/2)
x/4 = 2 + x/2
-x/4 = 2
x = -8
Therefore, there is one vertical line and no horizontal lines.
Answer:
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