Grade Inflation . The bar graph shows the percentage of UScollege freshmen with an average grade of A in high school. The data displayed by the bar graph can be described by the mathematical model P = 4 x 5 + 25 where x is the number of years after 1980 and p is the percentage of U.S. college freshmen who had an average grade of A in highschool. Use this information to solve Exercises 107-108. 107. a. According to the formula, in 2010, what percentage of U.S. college freshmen had an average grade of A in high school? Does this underestimate or overestimate the percent displayed by the bar graph? By how much? 49. % overestimates by 1% b. If trends shown by the formula continue, project when57% of US. college freshmen will have and an averagegrade of A in high school 2020
Grade Inflation . The bar graph shows the percentage of UScollege freshmen with an average grade of A in high school. The data displayed by the bar graph can be described by the mathematical model P = 4 x 5 + 25 where x is the number of years after 1980 and p is the percentage of U.S. college freshmen who had an average grade of A in highschool. Use this information to solve Exercises 107-108. 107. a. According to the formula, in 2010, what percentage of U.S. college freshmen had an average grade of A in high school? Does this underestimate or overestimate the percent displayed by the bar graph? By how much? 49. % overestimates by 1% b. If trends shown by the formula continue, project when57% of US. college freshmen will have and an averagegrade of A in high school 2020
Solution Summary: The author calculates the percentage of U.S. college freshmen who had an average grade of A in high school in year 2010.
Grade Inflation. The bar graph shows the percentage of UScollege freshmen with an average grade of A in high school.
The data displayed by the bar graph can be described by the mathematical model
P
=
4
x
5
+
25
where x is the number of years after 1980 and p is the percentage of U.S. college freshmen who had an average grade of A in highschool. Use this information to solve Exercises 107-108.
107. a. According to the formula, in 2010, what percentage of U.S. college freshmen had an average grade of A in high school? Does this underestimate or overestimate the percent displayed by the bar graph? By how much? 49. % overestimates by 1%
b. If trends shown by the formula continue, project when57% of US. college freshmen will have and an averagegrade of A in high school 2020
RK
119
43
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Match the surfaces (a) - (f) below with the contour diagrams (1) - (6) below those.
(a) Surface (a) matches contour 5 V
V
(b) Surface (b) matches contour 2 V
(c) Surface (c) matches contour 1
(d) Surface (d) matches contour 6 V
(e) Surface (e) matches contour 4 V
(f) Surface (f) matches contour 3 V
(4)
(1)
-0.25
(a)
(b)
(c)
(d)
(e)
y
y
2.5
0.5
1.5
1.5
1.5
y
.3
0.25
OC
0.25
-0.25
(2)
X
1.5
ZI
(f)
y
0.01
0.01
(3)
☑
X
0.01
0.01
0.2
0.2
(5)
0 x
0.5
(6)
0.25
X
X
0.25
0.5
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At least one of the answers above is NOT correct.
The figure shows a hill with two paths, A and B.
(a) What is the elevation change along each path? 400
9400
✓ feet
(b) Which path ascends more rapidly? A v
(c) On which path will you probably have a better view of the surrounding
countryside (assuming that trees do not block your view)? A V
(d) Along which path is there more likely to be a stream?
A V
Note: You can earn 50% partial credit for 2-3 correct answers.
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Q
hulu
))))
9800'
A
10000
(Click on graph to enlarge)
L
^
B
0
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4)
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
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