Maria has gotten scores of 75, 77, 81 and 84 (out of a possible 100) on the four midterm examinations for a math class. If each of these midterms counts as 15% of the total grade in the class and the final exam counts as 40% of the total grade, what must she get as a score (out of 100 possible) on the final examination to get at least 85% as her total grade in the class?

93.63

Therefore, she need to get a minimum of 93.63 out of 100 in the final exam

Step-by-step explanation:

Given;

Each midterm exam = 15% of total grade

Final exam = 40% of total grade

Midterm scores = 75, 77, 81 and 84 (out of a possible 100)

Total midterm score = 75+77+81+84 = 317

To determine the grade of the four midterm exams in the total score;

We need to find the 15% of the midterm score;

= 15% of 317

= 0.15×317

= 47.55 %

To get a minimum score of 85 % of the total score, the amount of the total score to be secured in the final exam is;

Final exam = 85% - 47.55% = 37.45%

Since final exam is 40% of the total score;

It means she need to get 37.45% out of 40% of the final exam.

Converting it to a score of 100;

Final exam score = 37.45/40 × 100

Final exam score = 93.63

Therefore, she need to get a minimum of 93.63 out of 100 in the final exam

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

the answer is 13/48

step-by-step explanation: