Answer:

Step-by-step explanation:


Combine Like Terms:



Therefore,
will be your final answer.
Origin = (0,0)
To find the units of distance subtract the given pair from origin
(0,4) - (0,0) = 4
Answer:
The margin of error for a 99% confidence interval for the population mean is 1.8025.
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 Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
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.
In this problem:

So

The margin of error for a 99% confidence interval for the population mean is 1.8025.
Since we have a transverse line that cuts through the straight line parallel to the height, then we can see that the angles are divided into two sections.
We also have vertically opposite angles, since the angle sum of a straight line is 180°. We have perpendicular lines since we are given a 90° angle. Thus, we know the missing angle is 45°.
Thus, 45 + x = 180
x = 135°