Answer:
4 1/10 kg
Step-by-step explanation:
To find the total mass, we add the mass of the three baskets
1 1/10 + 1 3/10 + 1 7/10
Since they have the same denominator
1 1/10
1 3/10
1 7/10
-------------
3 11/10
Change the improper fraction to a mixed number
11/10 = 1 1/10
3 + 1 1/10
4 1/10
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
Answer:
see explanation
Step-by-step explanation:
Given
(2m + 5n)² = (2m + 5n)(2m + 5n)
Each term in the second factor is multiplied by each term in the first factor, that is
2m(2m + 5n) + 5n(2m + 5n) ← distribute both parenthesis
= 4m² + 10mn + 10mn + 25n² ← collect like terms
= 4m² + 20mn + 25n² ← perfect square trinomial
