The surface area would be all those areas combined. The shape has been split up into 6 smaller quadrilaterals, so we can easily solve from there. The leftmost one would be 3*4 = 12. The two rectangles beside it can be combined: 4*7 = 28, the one beside it would be: 3*4 = 12, and the last column would be 4*7 = 28. The last thing you need to do is add them together: 12+28+12+28 = 80.
The surface area of the rectangular prism is 80
Answer:
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Step-by-step explanation:
Given:
and
are complementary angles.

To find:
The measure of
.
Solution:
According to the definition of the complimentary angles, the sum of two complementary angles is always 90 degree.
It is given that,
and
are complementary angles. So,




Therefore, the measure of
is 58°.
Answer:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
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 z-score that has a p-value of
.
The margin of error is of:

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.
This means that 
95% confidence level
So
, z is the value of Z that has a p-value of
, so
.
Margin of error:



The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.