The x-value of a midpoint is the average of the x-values of the ends.
The y-value of a midpoint is the average of the y-values of the ends.
The x-value of the end at b is 20 and it's 18 at the middle.
x has decreased by 2 in the course of 1/2 of the line.
So it will decrease another 2 during the other half of the line.
The x-value at the other end, at a, then, is 16.
The y-value of the end at b is 4 and it's -2 at the middle.
y has decreased by 6 in the course of 1/2 of the line.
So it will decrease another 6 during the other half of the line.
The y-value at the other end, at a, then, is -8.
The other end of the line, at a, is at (16, -8) .
The sum of the coordinates at a (p+q) is 8 .
Answer:
4
Step-by-step explanation:
The z-score is calculated by the following formula
z=(x-μ)/σ
where
μ=Population mean
σ=Population standard deviation
If the z-score for a specific sample mean is discussed then z-score is computed as
z=xbar-μ/σxbar.
where
μ=Population mean
σxbar=Sample standard deviation
As the population mean and mean of sampling distribution of mean are equal so, μ is used in above equation.
Now, the z-score is given
1.5=xbar-μ/σxbar
σxbar=xbar-μ/1.5.
Also we know that z-score corresponds to a score that is 6 points above mean which means that xbar-μ=6.
σxbar=6/1.5
σxbar=4.
Thus, the required sample standard deviation is 4.
Answer:
$7.28
Step-by-step explanation:
The average price, or the expected price, of any item in this specialty store is given by the weighted average of each item's price. That is, the sum of the products of each individual price by its corresponding sales mix:

The average price of any item in the store is $7.28
Area = 140
16 x 8 = 128
16-12 = 4
(6x4)/2 = 12
128 + 12= 140