5ft x 12in = 60 inches
Answer:
The Eleanor score is 2.06 deviations above the mean.
The Gerald score is 1.08 deviations above the mean.
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 that represent the SAT scores of a population, and for this case we know the distribution for X is given by:
Where and
For this case we can calculate the z score with the following formula:
And if we replace we got:
So the Eleanor score is 2.06 deviations above the mean.
Part b
Let X the random variable that represent the ACT scores of a population, and for this case we know the distribution for X is given by:
Where and
For this case we can calculate the z score with the following formula:
And if we replace we got:
So the Gerald score is 1.08 deviations above the mean.
Answer:
33
Step-by-step explanation:
33 is odd, so cannot be a multiple of an even number.