Answer: range= 26, variance= 80 and standard deviation= 8.94
Step-by-step explanation:
Range = highest - lowest
Range = 146 - 120
Range= 26
Let m be mean
M=mean=sum/n
Mean=(120+134+146+127+138+133) / 6
M=798/6
M=133
The standard deviation sample formula:
S.D = sqrt( Summation of |x-m|^2 / n-1)
Let start finding:
|x-m|^2
For 1st: |120-133|^2=169
For 2nd: |134-133|^2=1
For 3rd: |146-133|^2=169
For 4th: |127-133|^2=36
For 5th: |138-133|^2=25
For 6th: |133-133|^2=0
Summation of |x-m|^2 = 400
The standard deviation formula is :
S.D = sqrt( Summation of |x-m|^2 / n-1)
S.D= sqrt(400 / 5)
S.D=sqrt(80)
S.D= 8.94
Variance = (Summation of |x-m|^2 / n-1)
Variance= 400/5
Variance= 80
The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.
<h3>What is polynomial?</h3>
Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Factor completely 5ax² − 20x³ + 2a − 8x.
Take 5x² common from the first two terms and 2 from the last two terms. we have
5ax² − 20x³ + 2a − 8x
5x²(a − 4x) + 2 (a − 4x)
Take (a - 4) common, then we have
(5x² + 2) (y − 4x)
The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.
More about the polynomial link is given below.
brainly.com/question/17822016
Do this and then simplify the result
Answer:
The ordered pair that best describes the location of G' is (-6,2).
Step-by-step explanation:
Reflecting a point over the y-axis:
When a point (x,y) is reflected over the y-axis, it's x coordinate is multiplied by -1, while the y-coordinate stays the same. Thus:
(x,y) -> (-x,y).
Point G is located at (6, 2)
When reflected over the y-axis:
G'(-6,2).
The ordered pair that best describes the location of G' is (-6,2).
It would hafta be answer choice D
