A professor's son, having made the wise decision to drop out of college, has been finding his way in life taking one job or anot
2 answers:
Answer:
0.9641 or 96.41%
Step-by-step explanation:
Mean career duration (μ) = 88 weeks
Standard deviation (σ) = 20
The z-score for any given career duration 'X' is defined as:
In this problem, we want to know what is the probability that the professor's son's next career lasts more than a year. Assuming that a year has 52 weeks, the equivalent z-score for a 1-year career is:
According to a z-score table, a z-score of -1.8 is at the 3.59-th percentile, therefore, the likelihood that this career lasts more than a year is given by:
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The perimeter of a triangle is the sum of all side lengths of the triangle. The numerical expression for the perimeter of Stephanie's triangle is:
Let the sides of Juan's triangle be x, y and z. So:
The perimeter (J) of Juan's triangle is calculated by adding all sides.
So:
This gives:
From the question, we understand that:
The perimeter (S) of Stephanie's triangle is half that of Juan.
This means that:
Substitute 25 for J
Hence, the numerical expression for the perimeter of Stephanie's triangle is:
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