A square and a rectangle have the same perimeter. The square has a side length of 8x units. The rectangle has a length of (4x +
2 answers:
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Answer:
a)
And replacing we got:
b)
And replacing we got:
c)
And replacing 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".
Part a
Let X the random variable of interest for this case. We define the z score with the following formula:
And for this case we know that
If we solve for x from the z score formula we got:
And replacing we got:
Part b
Let X the random variable of interest for this case. We define the z score with the following formula:
And for this case we know that
If we solve for x from the z score formula we got:
And replacing we got:
Part c
Let X the random variable of interest for this case. We define the z score with the following formula:
And for this case we know that
If we solve for x from the z score formula we got:
And replacing we got: