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
A. a=145 b=35 c=145 d=145 e=35 f=145 g=35
b. These are the pairs of vertical angles: a & c, b & 35, d & f, e & g.
Hope this was helpful.
Answer:
Peanutbutter 44%
Chocolate chip 22%
Step-by-step explanation:
Answer:
157
Step-by-step explanation:
You don't need to do any multiplication here. It is a fundamental addition problem.
It is given that Lori has got 91 apples and Jay has got 68 of them. We have to find how many apples do they have together.
The correct solution is to add the numbers together:
91+68=157 apples
X=6 and y=-9. Not sure if y is correct since I kind of rushed but I hope this helps!
