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%.)
Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is fair share to nancy?
S1
S2
S3
S4
Kate
$4.00
$6.00
$6.00
$4.00
Luke
$5.30
$5.00
$5.25
$5.45
Mary
$4.25
$4.50
$3.50
$3.75
Nancy
$6.00
$4.00
$4.00
$6.00
Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player.
S1
S2
S3
S4
Kate
$4.00
$6.00
$6.00
$4.00
Luke
$5.30
$5.00
$5.25
$5.45
Mary
$4.25
$4.50
$3.50
$3.75
Nancy
$6.00
$4.00
$4.00
$6.00
how much is the cak worth to mary
Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is the threshold of fair share for Luke?
S1
S2
S3
S4
Kate
$4.00
$6.00
$6.00
$4.00
Luke
$5.30
$5.00
$5.25
$5.45
Mary
$4.25
$4.50
$3.50
$3.75
Nancy
$6.00
$4.00
$4.00
$6.00
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