Robert knows from reading his syllabus in intermediate algebra that the average of his chapter tests accounts for 60 % ( 0.6 ) of his overall course grade. He also knows that the final exam counts as 40 % ( 0.4 ) of his grade. Suppose that the average of Robert’s chapter tests is 89 % . a. Determine the range of grades that he would need on his final exam to get an “ A” in the class. (Assume that a grade of“A” is obtained if Robert’s overall average is 90 % or better.) b. Determine the range of grades that Robert would need on his final exam to get a “B” in the class. (Assume that a grade of “ B” is obtained if Robert’s overall average is at least 80 % but less than 90%.)
Robert knows from reading his syllabus in intermediate algebra that the average of his chapter tests accounts for 60 % ( 0.6 ) of his overall course grade. He also knows that the final exam counts as 40 % ( 0.4 ) of his grade. Suppose that the average of Robert’s chapter tests is 89 % . a. Determine the range of grades that he would need on his final exam to get an “ A” in the class. (Assume that a grade of“A” is obtained if Robert’s overall average is 90 % or better.) b. Determine the range of grades that Robert would need on his final exam to get a “B” in the class. (Assume that a grade of “ B” is obtained if Robert’s overall average is at least 80 % but less than 90%.)
Solution Summary: The author calculates the range of marks that Robert needs to score in his final exam to get an A grade.
Robert knows from reading his syllabus in intermediate algebra that the average of his chapter tests accounts for
60
%
(
0.6
)
of his overall course grade. He also knows that the final exam counts as
40
%
(
0.4
)
of his grade. Suppose that the average of Robert’s chapter tests is
89
%
.
a. Determine the range of grades that he would need on his final exam to get an “ A” in the class. (Assume that a grade of“A” is obtained if Robert’s overall average is
90
%
or better.)
b. Determine the range of grades that Robert would need on his final exam to get a “B” in the class. (Assume that a grade of “ B” is obtained if Robert’s overall average is at least
80
%
but less than 90%.)
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3 13 Details
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You are provided with three 2D data points, p1, p2 and p3. Solving A C = B for C provides youwith the coefficients of a natural cubic spline curve that interpolates these points.Additionally, you have been given A and B, but some elements are missing. Moreover, the last two rowsof A are entirely absent. Your task is to determine and fill in the missing elements. For the last two rows,enforce a zero tangent at the beginning (in p1) and a not-a-knot boundary condition in p2. The matricesA and B are given as follows:Explain how to find the entries of A and B . How would you adapt these matrices if the data pointswere 3D? What if your spline should go through five data points? How many “extra rows” would there thenbe (with “extra” meaning “in addition to securing C2-continuity”)?
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