Answer:
−
0.13352767 , 3.77760238
Answer:
9√15·cis(19π/24)
Step-by-step explanation:
The magnitudes multiply and the angles add:
= ((3√3)(3√5))·cis(π/8 +2π/3)
= 9√15·cis(π(1/8 +2/3)) = 9√15·cis(π(3/24 +16/24))
= 9√15·cis(19π/24)
Your question is missing some words and cannot be answered as asked.
However, it seems that the question is simply testing your knowledge of the term "vertical angles." Vertical angles are equal to each other. So if F and D are vertical angles, and one of them is 53°, then the other one is 53° as well.
But again, would need the full question to be sure.
Answer:
The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead.
This means that 
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).