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: an endless cylinder with radius 4 mm and centerline
I used a calculator and got <span>4.3649984e+14</span>
Answer:
x = 2.25 y = 0.75
Step-by-step explanation:
2x = 9.5- 5
2x = 4.5
x = 4.5 ÷ 2
x = 2.25
know we now what is x so in the second one we evaluate x
3(2.25) + 5y = 10.5
6.75 + 5y = 10.5
5y = 10.5- 6.75
5y = 3.75
y = 3.75 ÷ 5
y = 0.75
that's it !
if you want to check your answer you can evaluate x and y so it will be like
2×2.25 + 5
= 4.5 + 5 = 9.5
and
3× 2.25 +5×0.75
= 6.75 + 3.75 = 10.5
The answer is c explanation took test