wo containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 12 feet and
1 answer:
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Answer:
The answer to your question is y = -11/2x - 19
Step-by-step explanation:
Data
Point (-4, 3)
⊥ to the line x- intercept of 22 and y-intercept of -4.
Process
1.- Find the equation of the perpendicular line
This line has passes through the points (22, 0) and (0, -4)
Slope =
2.- Find the slope of the new equation
Slope = because the lines are perpendicular
3.- Find the equation of the new line
y - 3 = -11/2 (x + 4)
y - 3 = -11/2x - 44/2
y - 3 = -11/2 x - 22
y = -11/2 x - 22 + 3
y = -11/2x - 19
See the graph below
Answer:
C. n=423
Step-by-step explanation:
1) Notation and important concepts
Margin of error for a proportion is defined as "percentage points your results will differ from the real population value"
Confidence=90%=0.9
represent the significance level defined as "a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant".
represent the sample proportion of consumers in the Oconee County area who would react favorably to a marketing campaig. For this case since we don't have enough info we use the value of 0.5 since is equiprobable the event analyzed.
represent a quantile of the normal standard distribution that accumulates
on each tail of the distribution.
2) Formulas and solution for the problem
For this case the margin of error for a proportion is given by this formula
(1)
For this case the confidence level is 90% or 0.9 so then the significance would be
and
With , we can find the value for
using the normal standard distribution table or excel.
The calculated value is
Now from equation (1) we need to solve for n in order to answer the question.
Squaring both sides:
And solving for n we got:
Now we can replpace the values
And rounded up to the nearest integer we got:
n=423