Question

1. quarter grades are calculated as shown below. what is the students average for the quarter?

	weight	category average
homework	15%	100%
quizzes	25%	82%

the student’s average for the quarter is type your answer... %. round your answer to the nearest percentage point.
5 fill in the blank 2 points

Explanation:

Step1: Calculate weighted score for Test

To find the weighted score for Test, multiply the weight (60% or 0.6) by the category average (70% or 0.7).
$0.6\times0.7 = 0.42$ (or 42% when considering percentage contribution)

Step2: Calculate weighted score for Homework

Multiply the weight of Homework (15% or 0.15) by its category average (100% or 1).
$0.15\times1 = 0.15$ (or 15% contribution)

Step3: Calculate weighted score for Quizzes

Multiply the weight of Quizzes (25% or 0.25) by its category average (82% or 0.82).
$0.25\times0.82 = 0.205$ (or 20.5% contribution)

Step4: Sum the weighted scores

Add the three weighted scores together: $0.42 + 0.15 + 0.205 = 0.775$

Step5: Convert to percentage and round

Convert 0.775 to a percentage: $0.775\times100 = 77.5\%$, and round to the nearest percentage point, which is 78%.

Answer:

78