A plumber charges $35 to make a house call, plus $25 an hour for labor. The following equation represents f(x), the total cost o
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Answer:
A = 35 square units
Step-by-step explanation:
Formula to calculate the distance between two points and
is,
d =
Length of the segment between A(2, 2) and B(9, 2) =
= 7 units
Length of the segment between B(9, 2) and C(9, -3) =
= 5 units
Length of the segment between C(9, -3) and D(2, -3) =
= 7 units
Length of the segment between A(2, 2) and D(2, -3) =
= 5 units
Therefore, given polygon is a rectangle.
Area of the rectangle = length × width
= 7 × 5
= 35 square units
The confidence interval is 
.
We first find the mean. Add together all of the data points and divide by 6, the number of data points; the mean is 77.28.
Next we find the standard deviation. Find the difference between each data point and the mean; square it; find the sum; divide by the number of data points; take the square root. The standard deviation is 3.32.
To find the margin of error, we calculate the z-score associated with this level of confidence. 100-90 = 10% = 0.1; 0.1/2 = 0.05; 1-0.05 = 0.95. Using a z-table (http://www.z-table.com) we see that this is between two scores, 1.64 and 1.65; we will use 1.645.
The margin of error is given by
z * (σ/√n) = 1.645*(3.32/√6) = 2.23.
Thus the confidence interval is 77.28 +/ 2.23.
We first find the mean. Add together all of the data points and divide by 6, the number of data points; the mean is 77.28.
Next we find the standard deviation. Find the difference between each data point and the mean; square it; find the sum; divide by the number of data points; take the square root. The standard deviation is 3.32.
To find the margin of error, we calculate the z-score associated with this level of confidence. 100-90 = 10% = 0.1; 0.1/2 = 0.05; 1-0.05 = 0.95. Using a z-table (http://www.z-table.com) we see that this is between two scores, 1.64 and 1.65; we will use 1.645.
The margin of error is given by
z * (σ/√n) = 1.645*(3.32/√6) = 2.23.
Thus the confidence interval is 77.28 +/ 2.23.