Answer:
(-3, 5)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = x + 8
x + y = 2
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y </em>[2nd Equation]: x + x + 8 = 2
- Combine like terms: 2x + 8 = 2
- [Subtraction Property of Equality] Subtract 8 on both sides: 2x = -6
- [Division Property of Equality] Divide 2 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [1st Equation]: y = -3 + 8
- Add: y = 5
Answer:
A. exactly the same as the population mean.
Step-by-step explanation: This demonstration illustrates Rule 1 of the Central Limit Theorem: The mean of the population and the mean of the sampling distribution of means will always have the same value. Thus, the sampling distribution of the mean will have a normal shape, even though the population distribution does not.
To calculate the mean, add up all the values and divide by the number of values. There are two types of arithmetic mean: population mean and the sample mean.
Answer:
5.375 in. to the nearest thousandth.
Step-by-step explanation:
Area of a regular heptagon
= 7/4 * cot(pi/7) * s^2 where s is the length of one side.
105 = 7/4 * cot(pi/7) * s^2
s^2 = 105 / (7/4 cot (pi/7)
= 28.8945
s = sqrt 28.8945
= 5.375 in.
Answer:
B
Step-by-step explanation:
2(x-4) = 2x - 8
Answer:
-5
Step-by-step explanation:
2(-5 +3)^2 = 8
2(-2)^2 =8
2(-4) = 8
8 = 8
