Answer:
For the significance level of 0.01, the critical value for the test statistic is 2.326.
Step-by-step explanation:
Null hypothesis: population mean equals 5.
Alternate hypothesis: population mean is less than 5.
The test is a one-tailed test because the alternate hypothesis is expressed using less than.
For a one-tailed test, the critical value of the test statistic for the significance level of 0.01 is 2.326.
Answer:
Step-by-step explanation:
256 = 16×16=4×4×4×4 = 4^4
X^4-4^4 = (x^2)^2 - (4^2)^2
Using algebraic identity a^2-b^2 = (a+b)(a-b)
We get (x^2+4^2)(x^2-4^2)
(x^2+4^2)(x+2)(x-2)
Yes, 90° is supplementary and 180° is condemnatory.
Hope it helps!
Answer:
Completing the square.
Step-by-step explanation:
since there is no "a" term and the bx term is even, completing the square is your best bet.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS<u>
</u>
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (2, 5)
Point (-3, 7)
<u>Step 2: Identify</u>
x₁ = 2, y₁ = 5
x₂ = -3, y₂ = 7
<u>Step 3: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>
- Substitute in points [Slope Formula]:

- [Slope] [Fraction] Subtract:

- [Slope] [Fraction] Rewrite:
