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# Tutor profile: Augustas Z.

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Augustas Z.
Math Tutor, Data Analyst
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## Questions

### Subject:Trigonometry

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Question:

What are the x values that satisfy: sin(x) + cos(x) = 1?

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Augustas Z.

The answers are: x = 2 Pi*n, and x = 1/2(4 Pi*n + Pi), where n is an integer.

### Subject:Calculus

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Question:

What is the derivative of x^5 * sin(x)?

Inactive
Augustas Z.

It's x^4 (5 sin(x) + x cos(x))

### Subject:Statistics

TutorMe
Question:

What is the value of the 65th percentile of a normal distribution with a mean of 20 and a standard deviation (sd) of 2.

Inactive
Augustas Z.

The answer is 20.77 (rounded to the nearest hundredth). First, use the z-table to find the z-value for the 65th percentile. Second, solve the following equation for x: x = mean + z-value*sd. X is the value that we are looking for.

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