Answer:
The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.
Step-by-step explanation:
When we have a sample, the mean of the sample is used as the point estimate for the mean of the entire population.
What value will be used as the point estimate for the mean endowment of all private colleges in the United States?
We have to find the mean of the 8 colleges. So
The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.
Total length of the string = yard
Length of string used for craft = of total length of string
= of
=
= yard
Length of the string left after use = Total length of the string - Length of string used for craft
Length of the string left after use =
=
Reducing it to the lowest term, we get
= yard
Therefore, the length of string left is yard.
=========================================================
Explanation:
The 90 degree counterclockwise rotation rule we use is
the x and y coordinates swap places, and we change the sign of the first coordinate after the swap.
After using that rotation rule, we would go from (8,4) to (-4, 8) which is the final answer.
----------------
Extra info (optional section):
Define the following three points
A = (0,0)
B = (8,4)
C = (-4,8)
Use the slope formula to find that AB and AC have slopes of 1/2 and -2 in that order.
Those slopes multiply to -1, since (1/2)*(-2) = -1. This is a property of any two perpendicular lines as long as neither line is vertical and neither is horizontal. So this is sufficient to prove that the lines are perpendicular. This further means that a 90 degree rotation has taken place.