Answer:
Step-by-step explanation:
**This is a non-linear function and therefore <u>does not have a constant rate of change</u>. It will have a different slope depending on what points you use in the average rate of change formula:
To calculate rate of change, differentiate.
substitute y for :
Take natural logs of both sides:
Apply the log rule :
Differentiate with respect to :
Mulitply both sides by :
Replace with
Therefore, rate of change of the function is :
<span>Mean = 270
Standard deviation = 10
x = 255
Formula for z-score, z = (x - mean)/SD
z = (255 - 270) / 10
=> z = -15 / 10 => z = -1.5
So by referring to z-table, -1.5 correlates to 0.0668 that implies to 0.07
So 7% of the boxes of Apples weight less than 255oz.
The percentage of boxes is in the range of 255 oz and 270 oz,
Now calculating the requiring percentage 50% - 7% = 43%</span>
11/8 or 13/8 is the answer.