Question

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 21% of your total grade, each major test is worth 20.5%, and the final exam is worth 38%. Compute the weighted average for the following scores: 98 on the lab, 99 on the first major test, 60 on the second major test, and 61 on the final exam.

Answer 1

The weighted average for the student's scores is calculated by multiplying each score by its weight, totaling these products, and then dividing by the maximum points possible, resulting in a final weighted average of 76.36.

Step-by-step explanation:

To compute the weighted average for the student's scores in the biology class, we multiply each score by its respective weight, sum all these products, and then divide by the total number of points possible. The formula to calculate the weighted average (WA) is:

WA = (Lab Score × Lab Weight) + (Test 1 Score × Test 1 Weight) + (Test 2 Score × Test 2 Weight) + (Final Exam Score × Final Exam Weight)

Given:

• Lab Score = 98, Lab Weight = 21%
• Test 1 Score = 99, Test 1 Weight = 20.5%
• Test 2 Score = 60, Test 2 Weight = 20.5%
• Final Exam Score = 61, Final Exam Weight = 38%

WA = (98 × 0.21) + (99 × 0.205) + (60 × 0.205) + (61 × 0.38)

WA = 20.58 + 20.295 + 12.3 + 23.18

WA = 76.355

Therefore, the weighted average for the student's final grade is 76.36 (rounded to two decimal places).

Answer 2

x = 20.58

x = 20.295

x = 12.30

x = 23.18

Step-by-step explanation:

Lab score is worth : 21 % of total final grade, and there are 100 points available. So if someone get 100 points he or she will get the whole 21 %

Therefore by rule of three

21 ⇒ 100

x ⇒ 98 x = (98)*(21)/100 x = 20.58

99 in first major test

20.5 ⇒ 100

x ⇒ 99 x =(99)*(20.5)/100 x = 20.295

60 in the second major test

20.5 ⇒ 100

x ⇒ 60 x = (60)*(20.5)/100 x = 12.30

And 61 in final exam

38 ⇒ 100

x ⇒ 61 x = (61)*(38)/100 x = 23.18