Answer:
Part a) The measure of an exterior angle is 60°
Part b) The measure of an interior angle is 120°
Step-by-step explanation:
step 1
Find the value of x
we know that
A regular polygon has equal sides and equal interior angles
The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)
so

solve for x


step 2
Find the measure of an exterior angle
2x
substitute the value of x

step 3
Find the measure of an interior angle
4x
substitute the value of x

In this problem the regular polygon is a hexagon
Answer:
The confidence interval for 90% confidence would be narrower than the 95% confidence
Step-by-step explanation:
From the question we are told that
The sample size is n = 41
For a 95% confidence the level of significance is
and
the critical value of
is 
For a 90% confidence the level of significance is
and
the critical value of
is 
So we see with decreasing confidence level the critical value decrease
Now the margin of error is mathematically represented as
given that other values are constant and only
is varying we have that

Hence for reducing confidence level the margin of error will be reducing
The confidence interval is mathematically represented as

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower
Jon has y stickers and uses 20
jon=y-20
the sisters share y-20 between 2 of them
therefore each sister receives
(y-20) divided by 2 -- (y-20)/2