A professor grades students on three tests, four quizzes, and a final examination. Each test counts as two quizzes and
1 answer:
Using the weighed mean formula, it is found that Mara's average for the course was of 68.6.
<h3>What is the weighed mean?</h3>The weighed mean is given by the <u>sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights</u>.
In this problem, the weights are as follows:
- A quiz has a weight of 1.
- A test has a weight of 2.
- The final examination has a weight of 4.
Hence, her weighed mean is given as follows:
Mara's average for the course was of 68.6.
More can be learned about the weighed mean formula at brainly.com/question/24398353
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Coordinates of the given triangle ΔPQR P(1,-1), Q(3,-2), R(3,-4).
a) Let us discuss the rule for rotation of 90° clockwise about the origin.
If given coordinate is (h,k) is rotated 90° clockwise about the origin the position of rotated coordinate will be (k, -h).
x and y coordinates would switch their values and after switching x any values, the y value of the coordinates would reverse in sign.
So, the coordinates of rotated ΔPQR P(1,-1), Q(3,-2), R(3,-4) would become
P(1,-1) --> P'(-1,-1)
Q(3,-2) --> Q'( -2,-3)
R(3,-4) --> R'(-4,-3)
b) If given coordinate is (h,k), the coordinates after reflection across the x-axis would besome (h,-k). (Just change in the sign of y-coordinate).
So, the coordinates of rotated ΔPQR P(1,-1), Q(3,-2), R(3,-4) would become
P(1,-1) --> P"(1,1)
Q(3,-2) --> Q"( 3,2)
R(3,-4) --> R"(3,4)
