4k-36 = 9k-44 what is k
1 answer:
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Answer:
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)
represent the population standard deviation
n=400 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
Since the Confidence is 0.94 or 94%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.03,0,1)".And we see that
The margin of error is given by:
Considering the figures, the area that will be painted is of 38.9 square feet.
<h3>What is the area of a rectangle?</h3>
The area of a rectangle of length l and width w is given by:
The area of a triangle of base b and height h is given by:
The area of a semi-circle of radius r is given by:
In this problem:
- The rectangle with l = 6 ft and w = 8 ft will be painted, along with the triangle of dimensions b = 8 ft and h = 4 ft.
- The semi-circle with r = 4 ft will not be painted.
Hence, the area that will be painted, in square feet, is given by:
More can be learned about the area of a figure at brainly.com/question/10489198