Answer:

General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
<em />
<u>Step 2: Solve for </u><u><em>x</em></u>
- Factor:

- [Division Property of Equality] Divide 1 + a on both sides:

Answer:
We conclude that the mean is greater than 25.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 25
Sample mean,
= 27
Sample size, n = 100
Alpha, α = 0.05
Sample standard deviation, s = 6.5
First, we design the null and the alternate hypothesis

We use One-tailed(right) z test to perform this hypothesis.
Formula:

Putting all the values, we have

Now, 
Since,

We reject the null hypothesis and accept the alternate hypothesis.
Thus, the mean is greater than 25.
A closed dot mean "greater than or equal to" or "less than or equal to"
An open dot means "less than" or "greater than"
In this case, an open dot would mean
X>-2
Answer:

Step-by-step explanation:
1) Add 8 to both sides.
<em />
2) Divide both sides by 2.

3) Simplify
to 4.

4) Take the cube root of both sides.
![x=\sqrt[3]{4}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B4%7D)
5) Rewrite 4 as 2².
![x=\sqrt[3]{2^2}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B2%5E2%7D)
6) Use this rule:
.

Decimal Form: 1.587401
__________________________________________
Check the answer:

1) Let
.

2) Use this rule:
.

3) Simplify 2 * 3 to 6.

4) Simplify 6/3 to 2.

5) Use Product Rule:
.

6) Simplify 2^3 to 8.
8 - 8 = 0
7) Simplify 8 - 8 to 0.
0 = 0
Thank you,
Eddie