Astudy was conducted to determine if the salaries of librarians from two neighboring cities were equal. a sample of 15 librarians from each city was randomly selected. the mean from the first city was $28,900 with a standard deviation of $2300. the mean from the second city was $30,300 with a standard deviation of $2100. construct a 95% confidence interval for u1 -u2.
a.) (-4081, 597)
b.) (-2054, 238)
c.) (-2871, 567)
d.) (-3125, 325)

The distance between the two points has a linear relationship with the lengths of the segments. So if we dilate the circle with a scale factor of 3, the distance between the two would also be dilated with a scale factor of 3. Therefore let us first find for the distance or length of CB. The distance formula is:

d^2 = (x2 – x1)^2 + (y2 – y1)^2

where:

C = (x1, y1) = (8, 10)

B = (x2, y2) = (12, 13)

Therefore the length of CB is:

d^2 = (12 – 8)^2 + (13 – 10)^2

d^2 = 25

d = 5

Therefore the length of C’B’ is 3 times of this since dilation means expansion:

C’B’ = 5 * 3 = 15