# Tutor profile: Rachel F.

## Questions

### Subject: Pre-Calculus

Simplify the following function: 4x^2-8x+16

This function can be simplified as (2x-4)^2

### Subject: Statistics

A cereal company wants to make run periodic testing to make sure their weight claim is accurate on the nutrition info. A typical box of marshy-Os is 10oz, which is the claim on the box. They run a test with 10 boxes and get the following weights: 10.1, 9.7, 9.5, 10.4, 10.0, 8.7, 9.1, 10.4, 10.1, 9.8. Can you set up hypothesis tests for this problem?

Your claim is for a box to be 10 oz. That's the basic assumption or the null hypothesis. Your hypothesis test will be run to check this assumption. Ho: u=10 Ha: u<10 or u>10

### Subject: Algebra

If a^2+b^2=41 and 2*a+3*b=23, what are the values of a and b?

First, use the rightmost equation to solve for a or b in terms of the other. For example, subtract 3*b from each side, resulting in 2*a=23-3*b. Then, divide by 2 to get a value for "a" in terms of "b". Now we have a=(23-3*b)/2. Substitute this value of an in the leftmost equation. That should get you started....have you solved it yet?

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