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2 answers:
Answer:
A ≈ 153.1 units²
Step-by-step explanation:
area (A) of rectangle is
A = length × breadth = 16 × 8 = 128 units²
The diameter of the circle is 8 , then radius = 8 ÷ 2 = 4
area of semicircle = × πr² ( r is the radius )
= × π × 4²
= × π × 16
= 8π
Then area of figure = 128 + 8π ≈ 153.1 units² ( to the nearest tenth )
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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.