For a known standard deviation, the confidence interval for sample size = n is
where
x = average
n = sample size
= stad. deviation
z = contant that reflects confidence interval
Let a = x
Let b =
From the given information,
a - b = 0.432 (1)
a + b = 0.52 (2)
Add (1) and (2): 2a = 0.952 => a = 0.476
Subtract (2) from (1): -2b = -0.088 => b = 0.044
Therefore, the confidence interval may be written as
(0.476 - 0.044, 0.476 + 0.044), or as
(0.476
0.044)
It will help you.
5*x*4*x²
= 20*x³
it equals 20x³
Answer:
The answer is in the photo
Step-by-step explanation:
Answer:
(-1, 2) — derivative is zero
Step-by-step explanation:
A critical point of a function is a point at which the slope is <em>zero</em> or <em>undefined</em>. (The critical point must actually be in the domain of the function. Vertical asymptotes are <em>not</em> critical points.)
You find the answer by looking for points on the graph where a tangent to the function is horizontal or vertical.
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In the given graph, the curve approaches horizontal near the point (-1, 2), so it is reasonable to estimate that that point is a critical point.
The attached graph also shows the inverse function. That has a critical point at (2, -1), where the slope is undefined (a tangent to the graph is vertical).
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The graph of a circle or ellipse does not pass the vertical line test, so is not a function. However, the graph still has critical points where the tangents are vertical or horizontal. The second attachment shows those critical points.