Answer: 
Step-by-step explanation:
The confidence interval for population mean is given by :-

Given : Sample size :
, which is a large sample , so we apply z-test .
Sample mean : 
Standard deviation : 
Significance level : 
Critical value : 
Now, a confidence interval at the 95% level of confidence will be :-

9(240)= 2160 pea pods picked per day
2160(6)=12960 peas picked per day
Answer: The workers pick 12,960 peas every day
Answer:
Perpendicular bisector theorem
Step-by-step explanation:
The illustration of the theorem is:
If point B is a perpendicular bisector of Line AC and the length of AC is 10cm
Then

Where
--- Perpendicular bisector
So, the equation becomes



Recall: 

The number of quarts of berries Charlie picked is C
the number of quarts of berries Noel picked is N
since they picked a total of 92 quarts, C+N=92
Since Charlie picked 6 more quarts than Noel, C-N=6
add the 2 equations
C+N+C-N=2C=98
C=49
N=92-49=43
Noel picked 43 quarts.