The margin of error of a sample is given by:
B = z(α/2) σ/√n; where B is the margin of error = 25, z(α/2) is the level of significant = 1.96, σ is the standard deviation = 100 and n is the sample size.
25 = 1.96(100/√n)
100/√n = 25/1.96 = 12.76
√n = 100/12.76 = 7.84
n = (7.84)^2 = 61.47
Therefore, the smallest sample size required is 62 seniors.
Step-by-step explanation:
let's simply do the multiplications and then compare with the original.
(x-m)² + n
right ?
or is it

let's go for the first.
x² - 2mx + m² + n = x² - 3x
-2mx + m² + n = -3x
fun there we see two things :
-2m = -3
m = 3/2
and
m² + n = 0
(3/2)² = -n
9/4 = -n
n = -9/4
so our transformed expression looks like
(x - 3/2)² - 9/4
The slope of the line is 2.
<u>Step-by-step explanation:</u>
The given points are (5,-3) , (6,-1) , (7,1) , (8,3).
To find the slope of the line that contain these points is calculated by the slope formula.
Slope = 
Take any two points from the given set of points.
Let,
(x1,y1) = (5,-3)
(x2,y2) = (6,-1)
Slope =
⇒ 2
Therefore, the slope of the line is 2.
Similarly, the slope of the line can be known by using any two points on the line in the slope formula.