Anna has the following averages in his math class:
homework avg: 95
quiz avg: 90
test avg: 87
final exam: ? ?
if the teacher weights homework at 20%, quizzes at 20%, test at 40%, and the final exam at 20%, what is the minimum grade anna can make on the final so that she scores a 90 in the class?
a. 86 c. 94
b. 91 d. 98

Option 'b' is correct.

Step-by-step explanation:

Since we have given that

Average marks in Homework = 95

Average marks in Quiz = 90

Average marks in Test = 87

According to question, we have that the teacher weights homework at 20%, Quizzes at 20%, Test at 40%, and the final exam at 20%

Total score in the class = 90

So, Score of homework is given by

Score of Quiz is given by

Score of test is given by

So, it becomes,

So, minimum grade Anna can make on the final is given by

Hence, Option 'b' is correct.

which expression represents the approximate length of bc?

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b