In a certain city, the average 20- to 29-year old man is 69.8 inches tall, with a standard deviation of 3.2 inches, while t
he average 20- to 29-year old woman is 64.3 inches tall, with a standard deviation of 3.9 inches. who is relatively taller, a 75-inch man or a 70-inch woman?
1 answer:
Answer:
the man
Step-by-step explanation:
The wording "relatively taller" in this context is presumed to be a reference to the corresponding percentile or z-score. By hand, the z-score is easier to calculate.
z = (x - μ)/σ
For the man,
... z = (75 -69.8)/3.2 = 1.625
For the woman,
... z = (70 -64.3)/3.9 ≈ 1.462
The man's z-score is higher, so he is taller than a larger percentage of the male population than the woman is of the female population.
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If you're doing this by calculator, you can let it show you the percentile rank of each height. The man is in the 95th percentile; the woman the 93rd percentile. So, the man is relatively taller.
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Answer:
D. 8/2 +(-10)² = 104
Step-by-step explanation:
To find which statements are true, evaluate the expression for the given variable values. You do this by putting the numbers in place of the respective variables, then doing the arithmetic.
The respective expression values are ...
A 83 ≠ 37 . . . . (4/2) +9² = 2 +81 = 83
B 31 ≠ 61
C 52 ≠ 61
D 104 =104 . . . . true statement
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I find it less tedious to write a function into a calculator or spreadsheet and let it do the repetitive math. Examples of the calculation are shown above.
Answer:
The last choice.
Step-by-step explanation:
The value of k must be restricted from being one that makes the original denominator zero. Hence k ≠ -1 or 5.
