Plz help fast fast plz plz plz divide 44/625 and 220/31.25
2 answers:
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Answer:
The minimum score needed to be in the top 5% of the scores on the test is 172.9.
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this problem, we have that:
What is the minimum score needed to be in the top 5% of the scores on the test?
The 100-5 = 95th percentile, which is the value of X when Z has a pvalue of 0.95. So it is X when Z = 1.645.
The minimum score needed to be in the top 5% of the scores on the test is 172.9.
Answer:
The average revenue is decreasing at a rate of 0.0021 dollars per belt when 545 belts have been produced and sold.
Step-by-step explanation:
We are given the following in the question:
where R(x) is the revenue function and x is the number of belts.
Average revenue:
Rate of change of average revenue:
Putting x = 545
Thus, when 545 belts have been produced and sold, the average revenue is decreasing at a rate of 0.0021 dollars per belt.