Marcos mixes 504 ounces of lemonade. he wants to fill the 14 cups he has with equal amounts of lemonade how much lemonade should
2 answers:
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Answer:
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.
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 .
The margin of error:
For this problem, we have that:
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is
We need a sample size of at least n, in which n is found M = 0.04.
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.
Area of a regular polygon = 1/2 x apothem x perimeter
We know that each side is 10, because if you draw a segment from the center to a vertex it creates a 30-60-90 triangle (those are the angles). This type of triangle has a ratio for its sides where the longer side is radical three times as long as the shorter leg. This shorter leg happens to be half of a side of the polygon. Knowing that the polygon has 6 sides, we can multiply 10 by 6 to get the perimeter.
Area of polygon = 1/2 x apothem x perimeter = 1/2 x 5
x 60
=30 x 5
= 30 x 5 x <span>1.73205080757
= 150 x </span><span>1.73205080757
= </span><span>259.807621135
To the nearest tenth of a cm, the area of the polygon is 260 cm squared</span>
We know that each side is 10, because if you draw a segment from the center to a vertex it creates a 30-60-90 triangle (those are the angles). This type of triangle has a ratio for its sides where the longer side is radical three times as long as the shorter leg. This shorter leg happens to be half of a side of the polygon. Knowing that the polygon has 6 sides, we can multiply 10 by 6 to get the perimeter.
Area of polygon = 1/2 x apothem x perimeter = 1/2 x 5
=30 x 5
= 30 x 5 x <span>1.73205080757
= 150 x </span><span>1.73205080757
= </span><span>259.807621135
To the nearest tenth of a cm, the area of the polygon is 260 cm squared</span>