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koban [17]
3 years ago
8

Charlie and noel picked 92 quarts of berries at the king orchard. if charlie picked 6 more quarts than noel picked. how many qua

rts did noel pick?
please show work
Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0
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.
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Answer:

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Step-by-step explanation:

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    The standard deviation is  \sigma =  3 \ ounce

Given that the sample size is not large enough i.e  n<  30  we will make use of the student t distribution table  

From the question we are told the confidence level is  99.7% , hence the level of significance is    

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   t_{\frac{\alpha }{2} , 24 } = 3.0

Generally the margin of error is mathematically represented as  

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Gnerally the  upper control chart limit  for 99.7% confidence is mathematically represented as

         UCL  =  \= x  + E

=>      UCL  =  9 + 1.8  

=>      UCL  =  10.8  

     

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