Answer:
The simplest form of 426 is 213.
Median= 3
Range= 5
Mode= 3
Mean= 4
Answer:
(5, 9)
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
- Subtract Property of Equality
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
x - 5y = -40
18x - 5y = 45
<u>Step 2: Rewrite Systems</u>
18x - 5y = 45
- Multiply both sides by -1: -18x + 5y = -45
<u>Step 3: Redefine Systems</u>
x - 5y = -40
-18x + 5y = -45
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine equations: -17x = -85
- Divide -17 on both sides: x = 5
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: x - 5y = -40
- Substitute in <em>x</em>: 5 - 5y = -40
- Isolate <em>y</em> term: -5y = -45
- Isolate <em>y</em>: y = 9
Answer: B. 9
Step-by-step explanation:
First, find the median of the data set. This set has an even number of points, so find the average between the two middle points: 18 and 19. 18+19 = 37. 37/2 = 18.5. <em>The median is 18.5.</em>
Now, to find the lower quartile, find the median of the lower half of the data set {11, 12, 14, 15, 18}. The number in the middle is 14. <em>The lower quartile is 14.</em>
To find the upper quartile, find the median of the upper half of the data set {19, 21, 23, 25, 55}. The number in the middle is 23. <em>The upper quartile is 23.</em>
To find the interquartile range, subtract the lower quartile from the upper quartile. 23-14 = 9. <em>The interquartile range is 9.</em>
