<h2>
Answer with explanation:</h2>
As per given , we have
p= 0.457
n= 1033
Margin of error for 99% confidence : E= 4%=0.04
Confidence interval : 
i.e. 
99% confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt. = (0.417, 0.497)
Interpretation : We are 99% sure that the true population proportion of registered voters who are in favor of raising income taxes to pay down the national debt lies in interval (0.417, 0.497).
The answer is 2.6. I could be wrong.
A differentiable function 
is increasing on an open interval 
if 
for all 
, and decreasing if 
. For this problem, you then need to compute the derivative:
then solve for 
:
We can ignore 
because 
is defined only for 
. So we have two intervals to consider, 
and 
. All we need to do is pick any value from either interval and check the sign of the derivative 
. Since 
, from the first interval we can take 
, and from the second we can pick 
.
The above indicates that is decreasing on the first interval , and increasing on the second interval .
For part (b), we use the info from above as part of the first derivative test for extrema. We have one critical point at 
, and we know how behaves to either side of this point; decreases to left of it, and increases to the right. This pattern is indicative of a minimum occurring at , and we find that has the (local) minimum value of 
.
To find the angle measure of a dodecagon you use the formula n-2 (180) / n with n being the number of sides. A dodecagon has 12 sides. So you do 12-2 (180) /2. That equals 10 (180) = 1800 / 12. That equals 150 degrees.
The correct answer is C because they are asking for the specific screening kit marks
