Can you tell me what X=
2 answers:
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Answer:
The percentile is calculated with the following probability:
And using the z score we got:
So then we can conclude that 31 represent approximately the percentile 81 on the distribution given
He scored better than about 80.98 % of all MCAT takers.
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 scores of a population, and for this case we know the distribution for X is given by:
Where and
And for this case we have a score of 31
The percentile is calculated with the following probability:
And using the z score we got:
So then we can conclude that 31 represent approximately the percentile 81 on the distribution given
He scored better than about 80.98 % of all MCAT takers.
Answer:
D. The cost of purchasing avocados for $1.75 per pound plus a shipping fee of $0.16 per pound.
Step-by-step explanation:
A linear relationship is of the form , where,
is the unit rate and
is the fixed value (constant).
For a proportional relationship, the value of and thus it is of the form
Let us check each option and express it in the form above.
Option A:
Given:
Unit rate of purchasing a basket of apples,
Fixed price for the basket,
Since, , therefore, it is not a proportional relationship.
Option B:
Given:
Unit rate of purchasing a banana,
Fixed price for the box,
Since, , therefore, it is not a proportional relationship.
Option C:
Given:
Unit rate of purchasing a lime,
Discount from total cost,
Since, , therefore, it is not a proportional relationship.
Option D:
Given:
Unit rate of purchasing an avocado =
Unit rate of shipping =
Therefore, total cost per pound is the sum of the unit rates of purchasing and shipping. So,
Total cost of avocados per pound,
There is no fixed cost on this. So,
Since, , therefore, it is a proportional relationship.
Therefore, the correct option is D.