<span>Number of values = 5 (There are 5 values given)
Mean = (82 + 44 + 67 + 52 + 120)/5 = 73
Variance = (1/5) [(82-73)^2 + (44-73)^2 + (67-73)^2 + (52-73)^2 + (120-73)^2] = 721.6
Standard deviation = sqrt (721.6) = 26.86</span>
Answer:
Step-by-step explanation:
7x + 2x =90 (being perpendicular)
9x =90
x =90/9
x =10
substiute the value of x
7x
=7*10
=70
2x
=2*10
=20
16s2tu^3v^3 is the answer
Answer:
Step-by-step explanation:
Our equations are

Let us understand the term Discriminant of a quadratic equation and its properties
Discriminant is denoted by D and its formula is

Where
a= the coefficient of the 
b= the coefficient of 
c = constant term
Properties of D: If D
i) D=0 , One real root
ii) D>0 , Two real roots
iii) D<0 , no real root
Hence in the given quadratic equations , we will find the values of D Discriminant and evaluate our answer accordingly .
Let us start with

Hence we have two real roots for this equation.


Hence we do not have any real root for this quadratic

Hence D>0 and thus we have two real roots for this equation.

Hence we have one real root to this quadratic equation.
Answer:
-4
Step-by-step explanation:
We can find the slope given two point by
m = (y2-y1)/ (x2-x1)
= (3- -1)/(1 -2)
= (3+1)/(-1)
=4/-1
=-4