Answer:
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The 2 angles are complemantary or form right angles so

so

. Plugging that into BDC we get 11
Answer: (13.4996, 32.5004)
Step-by-step explanation:
The confidence interval for mean difference is given by :-
,
where
= sample mean difference .
= critical t value (two-tailed)
SE= Standard error.
Given :

SE= 4.2
Now, the confidence interval for mean difference will be :-
Hence, the required confidence interval : (13.4996, 32.5004)
Answer: the x-intercept is (-10,0), the y-intercept is (0,45/2)
Explanation:
First, we need to determine the function describing the line.
From the table, it is obvious that the y values increase by 9 every increase of 4 of the x values. So, the slope is 9/4 and the function looks like this:

with the y-intercept (or bias) b still unknown. This can be determined by using one of the point from the table, like so:

The above function form makes it easy to read off the y-intercept, which is (0,45/2) or (0,22.5). The x-intercept is obtained by setting y = 0 and solving for x:

The x-intercept is (-10,0)