John's approval rating is an average based upon 4 categories. What is his overall weighted rating if the following is true?
Category 1= 450 points weight factor 1
Category 2= 475 points weight factor 2
Category 3= 500 points weight factor 1
Category 4= 400 points weight factor 3
To find John's overall weighted rating, you first need to calculate the weighted score for each category.
Weighted score for Category 1 = Category 1 points * Category 1 weight factor = 450 * 1 = 450
Weighted score for Category 2 = Category 2 points * Category 2 weight factor = 475 * 2 = 950
Weighted score for Category 3 = Category 3 points * Category 3 weight factor = 500 * 1 = 500
Weighted score for Category 4 = Category 4 points * Category 4 weight factor = 400 * 3 = 1200
Next, add up all the weighted scores:
Overall weighted rating = Weighted score for Category 1 + Weighted score for Category 2 + Weighted score for Category 3 + Weighted score for Category 4
= 450 + 950 + 500 + 1200
Finally, calculate the result:
Overall weighted rating = 3100
To calculate John's overall weighted rating, we need to multiply the points in each category by their respective weight factors and then sum those results.
Category 1: 450 points x weight factor 1 = 450
Category 2: 475 points x weight factor 2 = 950
Category 3: 500 points x weight factor 1 = 500
Category 4: 400 points x weight factor 3 = 1200
Now, add up the results:
450 + 950 + 500 + 1200 = 3100
John's overall weighted rating is 3100.
Multiply points by weighting factors and add the results. Then divide that sum by the sum of the weighting factors, which is 7. That will give you the weighted average. It is about 443.
This question has nothing to do with physics.