Jakob wants to invite 20 friends to his birthday, which will cost his parents $250. If he decides to invite 15 friends instead,
2 answers:
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First, we are going to use the law of cosines to find the length of the line segment FH:
Next, we are going to use the semi-perimeter formula:
Now that we have the semi-perimeter of our triangle, we can find its area using Heron's formula:
We can conclude that the area of the triangle <span>GHF is 2.7 </span>
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Next, we are going to use the semi-perimeter formula:
Now that we have the semi-perimeter of our triangle, we can find its area using Heron's formula:
We can conclude that the area of the triangle <span>GHF is 2.7 </span>
Answer:
The confidence interval on this case is given by:
(1)
For this case the confidence interval is given by (62.532, 76.478)[/tex]
And we can calculate the mean with this:
So then the mean for this case is 69.505
Step-by-step explanation:
Previous concepts
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".
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
Assuming the X follows a normal distribution
The confidence interval on this case is given by:
(1)
For this case the confidence interval is given by (62.532, 76.478)[/tex]
And we can calculate the mean with this:
So then the mean for this case is 69.505