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Answer:
The number of employees in 8 years is 442
Step-by-step explanation:
Given:
Decreasing rate = 7%
Current number of employees = 790
To Find:
The number of employees after 8 years is this same rate continues =?
Solution:
Let the number of employees after 8 years be x
The current number of employees is:
---------------------------------(1)
since the decrase rate is 7% we use 0.07
So after 8 years , eq (1) can be rewritten as
x= 442.005
x= 442 (approx)
Answer:
Due to the higher Z-score, Demetria should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever applicant had grade with the highest z-score should be offered the job.
Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.
For Demetria, we have . So
Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.
For Vincent, we have .
Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.
For Tobias, we have .
Due to the higher Z-score, Demetria should be offered the job.