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2 answers:
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Answer:
C. $5180
Step-by-step explanation:
To solve this question, we have to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Z-scores lower than -2 or higher than 2 are considered unusual.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random normally distributed variable X, with mean and standard deviation
, the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
Which of the following mean costs would be considered unusual?
We have to find the z-score for each of them
A. $6350
By the Central Limit Theorem
Not unusual
B. $6180
Not unusual
C. $5180
Unusual, and this is the answer.
The store must sell 40 bikes each month to break even.
Step-by-step explanation:
Given,
Operating cost of store = $2400
Average paid per bike = $60
Average selling price of one bike = $120
Let,
x be the number of bicycle.
Therefore, to break even
Total operating costs per month = Total bikes sold each month
2400+60x = 120x
Subtracting 60x from both sides
Dividing both sides by 60
The store must sell 40 bikes each month to break even.
Keywords: linear equation, subtraction
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