Group1 Group2 Total
Category 1 30 90 120
Category 2 14 32 46
Total 44 122 166
Relative frequency:
Group 1 Group 2 Row Total
Category 1: 30/166 = 0.18 90/166 = 0.54 120/166 = 0.72
Category 2: 14/166 = 0.08 32/166 = 0.20 46/166 = 0.28
Column Total: 44/166 = 0.26 122/166 = 0.74 166/166 = 1.00
The relative frequency is the derived by dividing the amount per cell by the total balance, which is 166. It denotes the parts of the rows and columns against the whole table.
Answer:
x = 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
4x - 1 = 7x - 16
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 4x on both sides: -1 = 3x - 16
- Add 16 to both sides: 15 = 3x
- Divide 3 on both sides: 5 = x
- Rewrite: x = 5
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 4(5) - 1 = 7(5) - 16
- Multiply: 20 - 1 = 35 - 16
- Subtract: 19 = 19
Here we see that 19 does indeed equal 19.
∴ x = 5 is a solution to the equation.
Answer:
x>-2
Step-by-step explanation:
First you have to subtract 2 from both sides, which leaves you with -3x=6, then you have to divide -3 on both sides to get the variable by itself. Which is x<-2, but you have to switch the sign because you multiplied/divided by a negative number, then you get left with x>-2........Hope that helped!!!!!!!!!!:)