Answer:
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Answer:
The minimum sample size that can be taken is of 14 dogs.
Step-by-step explanation:
The formula for calculating the minimum sample size to estimate a population mean is given by:
The <u>first step</u> is obtaining the values we're going to use to replace in the formula.
Since we want to be 95% confident, .
Therefore we look for the critical value .
Then we calculate the variance:
And we have that:
<u>Now</u> we replace in the formula with the values we've just obtained:
Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.
The slopes of two parallel lines must be identical.
We have slope
, so the slope for the parallel line be the same.
Now, to find an equation that also passes through the given point, we use slope-point form,
, where our point 
is substituted for 
.
Now, we convert to slope-intercept form as such.
And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.
We have slope
Now, to find an equation that also passes through the given point, we use slope-point form,
Now, we convert to slope-intercept form as such.
And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.