lwilliams28

21.01.2021 • 

Mathematics

One national test has a normal distribution with a mean of 500 and a standard deviation of 100, while a second test has a normal distribution with a mean of 18 and a standard deviation of 6. A student scored 677 on one test and 29 on the other. Relative to the respective distributions, which score is better? A: The scores are equally strong.

B: The score of 677 is better.

C: It is improper to compare scores for the same student on different exams.

D: A comparison cannot be made without knowing the number of students who took the exam.

E: The score of 29 is better.

Ответ:

jwagner2277

08.11.2022

Mathematics

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We are given the quadratic function:

The vertex form is given by:

So we have to convert our quadratic form into this vertex form.

We can do so by applying factoring by completing the square method.

Step 1:

We take half of coefficient of x and add it to x.

Coefficient of x is 14, half of it is 7.

(x+7)²

Step 2:

Subtract square of 7 that is 49,

(x+7)²-49+40

(x+7)²-9

The vertex form is given by:

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