60 randomly chosen students from each grade level at Willow Brook school about their favorite types of reading material of those
2 answers:
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Answer:
The second choice, .
Step-by-step explanation:
Note, that the expression is an equation. A point
is on the graph of
if and only if the value of
and
satisfy this equation; that is: in other words, the
-coordinate of that point (the second number in the tuple) should be equal to
, which is equal to
(evaluated where
is equal to the first number in the tuple.
For each tuple in the choices, calculate the value of where
is equal to the first number of each tuple. Compare the result to the second number in that tuple. That choice corresponds to a valid point on
only if these two numbers match.
- First choice:
,
. That's not the same as the second number,
. Therefore, this point isn't on the graph of
.
- Second choice:
,
. That matches the second number in the tuple. Therefore, this point is on the graph of
- Third choice:
,
. That's not the same as the second number,
. Therefore, this point isn't on the graph of
- Fourth choice:
,
. That's not the same as the second number,
. Therefore, this point isn't on the graph of
Answer:
And for this case we can use the complement rule and the normal standard distribution of excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
And we select a sample size of n =70
From the central limit theorem (n>30)we know that the distribution for the sample mean is given by:
And we want to find this probability:
And we can use the z score formula given by:
And using this formula we got:
And for this case we can use the complement rule and the normal standard distribution of excel and we got: