Answer:
The simplified expression is 2x + 1
Step-by-step explanation:
We are given the following in the question:

We have to simplify this expression.
The logarithmic function is the inverse of the exponential function. Thus, we can write

Thus, the simplified expression is 2x + 1
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
Figure out slope by using:
(y2-y1)/(x2-x1)
Plug in values:
29.98-15.49/50-25
Simplify:
14.49/25 = 0.5796
Then, use this ratio for the 40 lbs bag. So, then:
40*0.5796 = 23.184
So, your price for the 40 lbs bag should be $23.18 because cents only go up to 2 decimal places (otherwise, it would be $23.184).
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