Caitlin has a movie rental card worth $85. After she rents the first movie, the card's value is $82.25. After she rents the seco
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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.
Answer:
7,11
Step-by-step explanation:
The width is x. x+4= the length. The area is side times side, so it’s
x × (x+4) = 77
We can simplify this to:
x × x + x × 4 = 77
x^2 + 4x = 77
x^2 + 4x - 77 = 0 This is a quadratic equation. So we can solve using the quadratic formula:
x = ->
That’s the positive solution and that’s x, the width. So the width is 7 and the length is 7+4=11