What is greater 3 or -2.5
1 answer:
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The greatest number of sandwiches that Olivia can make is 12.
3 slices of cheese will be on each sandwich
<u>Solution:</u>
Given that, Olivia has 48 slices of ham and 36 slices of cheese to make sandwiches.
We have to find what is the greatest number of sandwiches that Olivia can make? And how many slices of cheese will be on each sandwich?
Let the number of sandwiches be "n"
Then, number of slices of ham per sandwich
And, number of slices of cheese per sandwich
As slices can’t be fractions, "n" should be a factor of 48 and 36. So now let us find H.C.F of 48 and 36 as we want greatest number of sandwiches that Olivia can make.
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, and 36
The common factors are those which appear on both factors of 48 and 36 are 1, 2, 4, 6, and 12.
Out of these common factors, 12 is the greatest
So, H.C.F of 48 and 36 is 12, which means n = 12
Then, number of cheese slices per sandwich
Hence, 12 sandwiches can be made with 3 slices of cheese per sandwich.
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.