A bag contains 5 red cubes and 7 white cubes. Celinda will select one cube, put it in her pocket, and then select a second cube.
2 answers:
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Answer:
Confidence =
And then the confidence level would be given by 99%
Step-by-step explanation:
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Assuming the X follows a normal distribution
The distribution for the sample mean is given by:
represent the sample mean
represent the population standard deviation
n= 100 sample size selected.
The confidence interval is given by this formula:
(1)
The marginof error for this case is given by Me=25.76. And we know that the formula for the margin of error is given by:
And we can find the critical value like this:
And we know that on the right tail of the z score =2.576 we have of the total area. We can find the area on the right of the z score using this excel code:
"=1-NORM.DIST(2.576,0,1,TRUE)" or using a table of the normal standard distribution, and we got 0.004998=, so then
, and then we can find the confidence like this:
Confidence =
And then the confidence level would be given by 99%
The height of the statue is 19.5 feet.
Why?
We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.
We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)
Using the trignometric formula, we have:
First triangle:
Second triangle:
Now, the total height of the statue will be:
Have a nice day!