Answer:
n=1705
Step-by-step explanation:
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Assuming the X follows a normal distribution
And the distribution for
is:
We know that the margin of error for a confidence interval is given by:
(1)
The next step would be find the value of
,
and
Using the normal standard table, excel or a calculator we see that:
If we solve for n from formula (1) we got:
And we have everything to replace into the formula:
And if we round up the answer we see that the value of n to ensure the margin of error required
mm is n=1705.
4x−5=7+4y
subtract 7 from both side
4x - 5 -7 = 4y
4x -12 = 4y
divide by 4
4x/4 -12/4 = 4y/4
x-3=y
Answer:
(x, y ) → (- y, - x )
Step-by-step explanation:
Consider the coordinates of corresponding vertices of the 2 triangles, that is
A(1, 7 ) → D(- 7, - 1 )
Note the coordinates of D are the negative reversals of A
Thus (x, y ) → (- y, - x )
The mean is 21. The median is 15. The mode is 15. The range is 16.