Answer:
a. 20 points
Step-by-step explanation:
Range = Largest given value - Smallest given value.
<u>Identifying the range of test 1</u>
Looking at the dot plot the lowest test grade appears to be 50 while the highest is 90.
So range of test 1 = 90 - 50 = 40
<u>Identifying the range of test 2</u>
Looking at the plot the lowest test grade appears to be 40 while the highest appears to be 100
So range = 100 - 40 = 60
<u>Identifying the differences between the ranges</u>
Test 1 range : 40
Test 2 range : 60
Difference between the two : 60 - 40 = 20 points
Answer:
1. 1/4
2. 43/10 or 4 3/10 either are correct.
3. 67/12 or 5 7/12 either are correct.
Step-by-step explanation:
I hope this helped.
First you find the common deoninator.
Step 1: Reduce (simplify) entered fractions to lowest terms, if the case:Fraction: 5 / 6 it's already reduced to lowest terms
Fraction: 11 / 12 it's already reduced to lowest terms
Step 2: Calculate LCM (lowest common multiple) of the reduced fractions' denominators, it will be the common denominator of the compared fractions:Denominator 6, factored = 2 * 3
Denominator 12, factored = 22<span> * 3</span>
LCM (6, 12) = 22<span> * 3 = 12</span>Step 3: Calculate each fraction's expanding number (LCM divided by each fraction's denominator):For fraction: 5 / 6 is 12 : 6 = (22<span> * 3) : 6 = 2</span>
For fraction: 11 / 12 is 12 : 12 = (22<span> * 3) : 12 = 1</span>
Step 4: Expand fractions to bring them to the common denominator (LCM):5 / 6 = (2 * 5) / (2 * 6) = 10 / 12
<span>11 / 12 = (1 * 11) / (1 * 12) = 11 / 12</span>
2x^3-4x^2+2-x^3+2x^2+2x-4
x^3-2x^2+2x-2