Amy knows from reading her syllabus in intermediate algebra that the average of her chapter tests accounts for 80 % ( 0.8 ) of her overall course grade. She also knows that the final exam counts as 20 % ( 0.2 ) of her grade. Suppose that the average of Amy’s chapter tests is 92%. a. Determine the range of grades that she would need on her final exam to get an “A” in the class. (Assume that a grade of “A” is obtained if Amy’s overall average is 90% or better.) b. Determine the range of grades that Amy would need on her final exam to get a “B” in the class. (Assume that a grade of “B” is obtained if Amy’s overall average is at least 80% but less than 90%.)
Amy knows from reading her syllabus in intermediate algebra that the average of her chapter tests accounts for 80 % ( 0.8 ) of her overall course grade. She also knows that the final exam counts as 20 % ( 0.2 ) of her grade. Suppose that the average of Amy’s chapter tests is 92%. a. Determine the range of grades that she would need on her final exam to get an “A” in the class. (Assume that a grade of “A” is obtained if Amy’s overall average is 90% or better.) b. Determine the range of grades that Amy would need on her final exam to get a “B” in the class. (Assume that a grade of “B” is obtained if Amy’s overall average is at least 80% but less than 90%.)
Solution Summary: The author calculates the range of marks that Amy needs to score in her final exam to get an A grade.
Amy knows from reading her syllabus in intermediate algebra that the average of her chapter tests accounts for
80
%
(
0.8
)
of her overall course grade. She also knows that the final exam counts as
20
%
(
0.2
)
of her grade. Suppose that the average of Amy’s chapter tests is 92%.
a. Determine the range of grades that she would need on her final exam to get an “A” in the class. (Assume that a grade of “A” is obtained if Amy’s overall average is 90% or better.)
b. Determine the range of grades that Amy would need on her final exam to get a “B” in the class. (Assume that a grade of “B” is obtained if Amy’s overall average is at least 80% but less than 90%.)
Consider the following elevation function for a region of irregular terrain:
z(x, y)
=
1
x² + y²
25
Here, z is the elevation of the terrain over a point (x, y) with x and y being the horizontal coordinates. The
region of interest lies between x = 0 and x = 5, and y 0 and y = 5.
Your tasks are the following:
=
1. Analyze how the elevation changes with respect to x and y. To find the elevation changes, calculate the
partial derivatives of the elevation function z with respect to x and
2. Calculate the total volume of soil above the 0-level (z
region of interest.
=
y.
0). To do so, integrate z(x, y) over the whole
A truck loaded with rocks weighs 14,260 lb. If the truck weighs 8420 lb, how much do the rocks weigh?
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