Answer:
Step-by-step explanation:
move variable to the right-hand side and change its sign
divide both sides of the equation
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point (0, 0)
Point (1, -2)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract:
- Divide:
Answer:
x = √2/2
Step-by-step explanation:
Use the identity:
arcsin x + arccos x = π/2
Therefore, we can rewrite this as:
arcsin x (π/2 − arcsin x) = π²/16
If we substitute y = arcsin x:
y (π/2 − y) = π²/16
π/2 y − y² = π²/16
0 = y² − π/2 y + π²/16
0 = 16y² − 8π y + π²
0 = (4y − π)²
y = π/4
Substituting back:
arcsin x = π/4
x = sin(π/4)
x = √2/2
Answer:2/6
Step-by-step explanation:
Answer:
542
Step-by-step explanation:
We are required to find the sample size at 98% confidence interval in this question
E = 0.04
P* = 20% = 0.20
n = p* x (1-p)(Zα/2÷E)²
α = 1 - 0.98
= 0.02
To get Critical value
= 0.02/2 = 0.01
The critical value at 0.01 is 2.33
Inserting values into formula:
O.2 x 0.8(2.33/0.04)²
= 0.8 x 0.2 x 58.25²
= 542.89
The value of n must be an integer therefore the answer is 542.