Answer:
d. The variance is 9.56 and the standard deviation is 3.09.
Step-by-step explanation:
From the above question, we are given the following data set.
3, 7, 8, 8, 8, 9, 10, 10, 13, 14
a) Mean = 3 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 13 + 14/ 10
= 90/10
= 9
b) Variance
The formula for sample Variance = (Mean - x)²/ n - 1
Mean = 9
n = 10
Sample Variance =
(3 - 9)² + (7 - 9)² + (8 - 9)² + (8 - 9)² + (8 - 9)² + (9 - 9)² + (10 - 9)² + (10 - 9)² + (13 - 9)² + (14 - 9)² / 10 - 1
= 36 + 4 + 1 + 1 + 1 + 0 + 1 + 1 + 16 + 25/9
= 86/9
= 9.555555556
≈ Approximately 9.56
Variance = 9.56
Sample Standard deviation = √Sample Variance
= √9.56
= 3.0919249667
≈ Approximately 3.09
Answer:
slope = - 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y = - 12 ( subtract 2x from both sides )
3y = - 2x - 12 ( divide all terms by 3 )
y = -
x - 4 ← in slope- intercept form
with slope m = - 
Do 2 divided by fifty eight squared
Answer:
8 cm
Step-by-step explanation:
The formula of circumference is c= πd------(1)
where C = circumference, π = 3.14 and d = diameter
as we know that diameter is equal to d= 2r
put the diameter formula in eq(1)
we get c= π2r-------(2)
from eq (2) separate r means radius
hence, r= c/(π2)------(3)
put the values in eq(3)
and radius is equal to 8 cm.
Answer:
7m^3
Hope you have a good day lad!