Considering the vertex of the graph, it is found that the quadratic function that is the best model for the data is given by:
The equation of a quadratic function, of vertex (h,k), is given by:
In which a is the leading coefficient.
Researching the problem on the internet, it is found that the vertex is at point (4,800), hence h = 4 and k = 800.
It has a value of y = 0 at x = 6, hence:
Thus, the model is:
More can be learned about quadratic functions at brainly.com/question/24737967
Answer:
For this case since the sample size is lower than 30 , n =20<30, is not appropiate use the normal standard distribution to calculate the confidence interval for the mean, and then for this case is better use the t distribution since takes in count the correction factor to approximate the distribution of the true parameter.
The confidence interval for the mean is given by the following formula:
(1)
Step-by-step explanation:
Previous concepts
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".
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".
represent the sample mean for the sample
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
Solution to the problem
For this case since the sample size is lower than 30 , n =20<30, is not appropiate use the normal standard distribution to calculate the confidence interval for the mean, and then for this case is better use the t distribution since takes in count the correction factor to approximate the distribution of the true parameter.
The confidence interval for the mean is given by the following formula:
(1)
Completely factored form of u^3-v^3 is:
Step-by-step explanation:
Algebraic formulas are used to factorize the expression.
Given
The formula involving cube with negative sign is:
Using this formula:
Hence,
Completely factored form of u^3-v^3 is:
Keywords: Factorization
Learn more about factors at:
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