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skye8773
19.10.2019 •
Mathematics
Bean bag chairs that usually sell for $36.50 are on sale for 32.12. find the percent of the discount
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Ответ:
4.36 / 36.50 * 100 = 11.95%
percent discount is 11.95%
Ответ:
Student do better in Chemistry subject.
Step-by-step explanation:
We are given that at a college the scores on the chemistry final exam are approximately normally distributed, with a mean of 77 and a standard deviation of 10. The scores on the calculus final are also approximately normally distributed, with a mean of 83 and a standard deviation of 14.
A student scored 81 on the chemistry final and 81 on the calculus final.
And we have to find that in which subject did the student do better.
Firstly, Let X = scores on the chemistry final exam
So, X ~ N(
)
Also, let Y = scores on the calculus final exam
So, Y ~ N(
)
For finding in which subject did the student do better, we will find the z score for both the exams of student because the higher the z score, the better is the student perform in that exam.
The z-score probability distribution is given by;
Z =
~ N(0,1)
where,
= mean score for respective subjects
Since we are given the student score of 81 on the chemistry final exam,
So, z-score =
= 0.4 {where
and
}
The z-score of Calculus final exam is calculated as;Since we are given the student score of 81 on the calculus final exam,
So, z-score =
= -0.143 {where
and
}
AS we can clearly see that the z score of Chemistry final exam is higher than that of Calculus exam so the student do better in Chemistry subject exam.