What would the output be?
1 answer:
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Answer:
Concept: Algebraic Manipulation
- We want to make y the main variable. Start by moving y to over to one side or multiplying the inverse.
- So we have
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Answer:
The smallest sample size that will produce an interval with these specifications is 601.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
He would like you to report a 95% confidence interval with a margin of error no more than 0.04. What is the smallest sample size that will produce an interval with these specifications?
We have to find n for which M = 0.04.
We dont know the true proportion, so we use , which is when the smallest sample size needed will have it's largest value.
Rounding up
The smallest sample size that will produce an interval with these specifications is 601.
Answer:
In slope-intercept form:
Or, in standard form:
Step-by-step explanation:
We want to find the equation of the line that passes through the point (6, 5) and is perpendicular to the line whose equation is:
Since the new line is perpendicular, its slope and the slope of the first equation will be negative reciprocals of each other.
So, find the slope of the first equation. Subtract 3<em>x</em> from both sides:
And divide both sides by two:
So, the slope of the first equation is -3/2.
The slope of the new line is its negative reciprocal. So, the slope of the perpendicular line is 2/3.
Next, we also know that it passes through the piont (6, 5). We can use the point-slope form:
Where <em>m</em> is the slope and (<em>x₁, y₁</em>) is a point.
Substitute:
And we have our equation!
If desired, we can simplify it into slope-intercept form:
Or, into standard form: