Answer:
The length is 95 m
Step-by-step explanation:
P = 2(l+w) where l is the length and w is the width
342 = 2(l+76)
Divide each side by 2
342/2 = 2/2(l+76)
171= l+76
Subtract 76 from each side
171- 76 = l+76-76
95 = l
Answer:
The mean is 95 and the standard deviation is 2
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Population:
Mean 95, Standard deviation 12
Samples of size 36:
By the Central Limit Theorem,
Mean 95
Standard deviation 
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