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selenaK9514
18.05.2021 •
Mathematics
Approximate the side length of each square below.
Estimate side lengths to the nearest tenth.
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Ответ:
C. 68%
Step-by-step explanation:
We have been given that the numbers of cookies in a shipment of bags are normally distributed, with a mean of 64 and a standard deviation of 4.
Let us find z-score for our given raw scores 60 and 68 using z-score formula.
, where,
z= z-score.
x= Raw score.
= Mean.
= Standard deviation.
Therefore, 60 is 1 standard deviation below mean.
Now let us find z-score for 68.
Therefore, 68 is 1 standard deviation above mean.
We can see that 60 and 64 lies between z=-1 and z=1.
Since empirical rule states that 68% of data falls within the first standard deviation from the mean, therefore, 68% of cookie bags will contain between 60 and 68 cookies and option C is the correct choice.