Answer:
A sample of 997 is needed.
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:

A previous study indicates that the proportion of left-handed golfers is 8%.
This means that 
98% confidence level
So
, z is the value of Z that has a p-value of
, so
.
How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?
This is n for which M = 0.02. So






Rounding up:
A sample of 997 is needed.
There are 7 faces, 12 edges and 24 vertices in a hexagonal pyramid.
Do Pythagorean theorem. If you don't know what that is...
Do A squared plus B squared Equals C squared and you will get your answer for the shape. Then calculate the area
A mountain road makes the horizontal
Answer:
h = 10.92 m.
Step-by-step explanation:
The small triangle on the left is similar to the whole triangle, so:
12/20 = h/18.2
h = 12*18.2 / 20
h = 10.92 m.