7) How much dirt is there in a hole that measures two feet by three feet by four feet?
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Answer:
The 95% confidence interval is
Step-by-step explanation:
From the question we are told that
The first sample size is
The first sample mean is
The first standard deviation is
The second sample size is
The second sample mean is
The second standard deviation is
Generally the degree of freedom is mathematically represented as
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Generally the standard error is mathematically represented as
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From the question we are told the confidence level is 95% , hence the level of significance is
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Generally from the t distribution table the critical value of at a degree of freedom of is
Generally the margin of error is mathematically represented as
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Generally 95% confidence interval is mathematically represented as
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The required piecewise function that represents the graph is given as:
The graph consists of 3 lines with different equations and slopes. In order to determine the function it represents, we will create a piecewise function.
For the line crossing the negative x-axis
Using the coordinate points (-4, 2) and (-2, -4)
Slope = -6/2
Slope = -3
2 = -3(-4) + b
2 - 12 = b
b = -10
The equation of the line will be y = -3x-10
For the line crossing the negative y-axis
Using the coordinate points (-2, -4) and (2,-2)
Slope = 2/4
Slope = 1/2
-2 = 1/2(2) + b
-2 - 1 = b
b = -3
The equation of the line will be y = -1/2x-3
For the line crossing the positive x-axis
Using the coordinate points (2, -2) and (3, 0)
Slope = 2/1
Slope = 2
0 = 2(3) + b
0 - 6 = b
b = -6
The equation of the line will be y = 2x-6
The required piecewise function that represents the graph is given as:
Learn more on piecewise function here: brainly.com/question/18499561
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