What is the equation of the line that is parallel to the line y − 1 = 4(x + 3) and passes through the point (4, 32)?
1 answer:
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Answer:
A sample of 18 is required.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of .
That is z with a pvalue of , so Z = 1.88.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
A previous study indicated that the standard deviation was 2.2 days.
This means that
How large a sample must be selected if the company wants to be 92% confident that the true mean differs from the sample mean by no more than 1 day?
This is n for which M = 1. So
Rounding up:
A sample of 18 is required.
Answer:
B. 12.5%
Step-by-step explanation:
Add all the hours together to get 20. We make the assumption that 20 is 100% since it is our output value. We next represent the value we seek with x. From step 1, it follows that 100%=20. In the same vein, x%=2.5.This gives us a pair of simple equations:
100%=20(1)
x%=2.5(2)
By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have
=
Taking the inverse (or reciprocal) of both sides gives us this:
>> x=12.5\%
Therefore, 2.5 is 12.5% of 20.