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:
Hence, the relation R is a reflexive, symmetric and transitive relation.
Given :
A be the set of all lines in the plane and R is a relation on set A.
To find :
Which type of relation R on set A.
Explanation :
A relation R on a set A is called reflexive relation if every then
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So, the relation R is a reflexive relation because a line always parallels to itself.
A relation R on a set A is called Symmetric relation if then
for all
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the always the line
is parallel to the line
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A relation R on a set A is called transitive relation if and
then
for all
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So, the relation R is a transitive relation because if a line s parallel to the line
and the line
is parallel to the line
then the always line
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Therefore the relation R is a reflexive, symmetric and transitive relation.
Answer:
Step-by-step explanation:
The question is simple. All we have to do is divide by
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