Standard deviations, σ, is generally preferred over range. Reason being, it is calculated from all the data and when there is outliers it will not be impacted as much as the range. It is great to not also that, The IQR is preferred to the standard deviation when the distribution is very highly skewed or when there are severe outliers, because the IQR is less sensitive to this features than standard deviation.
Answer:
Step-by-step explanation:
circle A is
x²+y²+6x-4y-12=0
x²+6x +y²-4y =12
think (a+b)² = a²+2ab+b² we have a=x, b= 3
and (a-b)² = a²-2ab+b² so we have a=y, b=2
x²+6x +9 +y²-4y+4 = 12-9-4
(x+3)² +(y-2)²= -1
compare to the general equation of a circle (x-h)²+(y-k)² =r²
the center is at (-3,2) and the radius is √-1 =i
Circle B has center (0, -4) and radius 3 so the equation is
(x-0)²+(y-(-4))² =3²
x² +(y+4)² = 9
point (√8, -3) is on the circle if it verifies the equation
√8² +(-3+4)² = 9
8+1 =9 true so the point is on the circle
Circle A and circle B are not similar because they do not have the same center and radius
ABC ~ A’B’C’
So, AB=A’B’ , BC=B’C’ , AC = A’C’
Given, AB=15 and A’C’=4
So, AC = 4 , A’B’ = 15
Answer:
Option A) They are parallel because their slopes are equal.
Step-by-step explanation:
We are given the following in the question:
Line AB:
(-4, -2), (4,4)
Line CD:
(0,-3), (4,0)
Formula to calculate slope =
Slope of AB =
Slope of CD =
Thus,
Thus, the two lines are parallel.
Option A) They are parallel because their slopes are equal.
