Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
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Answer:
The margin of error for constructing a 95% confidence interval on the population mean income before taxes of all consumer units in the U.S is 1406.32.
Step-by-step explanation:
We are given that according to a survey of 500, the mean income before taxes of consumer units (i.e., households) in the U.S. was $60,533 with a standard error of 717.51.
Margin of error tells us that how much our sample mean value deviates from the true population value.
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<u>Margin of error is calculated using the following formula;</u>
Margin of error =
where, = level of significance = 1 - confidence level
= 1 - 0.95 = 0.05 or 5%
Standard of Error = = 717.51
Now, the value of z at 2.5% level of significance () is given in the z table as 1.96, that means;
Margin of error =
= = 1406.32
Hence, the margin of error for constructing a 95% confidence interval on the population mean income before taxes of all consumer units in the U.S is 1406.32.
The expression which represents the side length of the square which has perimeter of 12x 52 units is 3x+12 units.
<h3>What is the perimeter of a square?</h3>The measure of the boundary of the sides of a square is called its perimeter. The perimeter of a square is 4 times the side of the square.
Here, (<em>a</em>) is the side of the square.
A square has a perimeter of 12x +52 units. The perimeter of a square is 4 times the side of the square. Thus, the side of this square is,
Thus, the expression which represents the side length of the square which has perimeter of 12x 52 units is 3x+12 units.
Learn more about the perimeter of the square here;