Grade Inflation. The bar graph shows the percentage of U.S. college 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 high school. Use this information to solve Exercises 97-98 . 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? b. If trends shown by the formula continue, project when 57% of U.S. college freshmen will have had an average grade of A in high school.
Grade Inflation. The bar graph shows the percentage of U.S. college 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 high school. Use this information to solve Exercises 97-98 . 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? b. If trends shown by the formula continue, project when 57% of U.S. college freshmen will have had an average grade of A in high school.
Solution Summary: The author calculates the percentage of U.S. college freshmen that had an average grade of A in high school in 2010.
Grade Inflation.The bar graph shows the percentage of U.S. college 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 high school. Use this information to solve Exercises 97-98.
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?
b. If trends shown by the formula continue, project when 57% of U.S. college freshmen will have had an average grade of A in high school.
+
Theorem: Let be a function from a topological
space (X,T) on to a non-empty set y then
is a quotient map iff
vesy if f(B) is closed in X then & is
>Y. ie Bclosed in
bp
closed in the quotient topology induced by f
iff (B) is closed in x-
التاريخ
Acy
الموضوع :
Theorem:- IP & and I are topological space
and fix sy is continuous
او
function and either
open or closed then the topology Cony is the
quatient topology p
proof:
Theorem: Lety have the quotient topology
induced by map f of X onto y.
The-x:
then an arbirary map g:y 7 is continuous
7.
iff gof: x > z is
"g of continuous
Continuous function
f
For the problem below, what are the possible solutions for x? Select all that apply.
2
x²+8x +11 = 0
x2+8x+16 =
(x+4)² = 5
1116
For the problem below, what are the possible solutions for x? Select all that apply.
x² + 12x - 62 =
0
x² + 12x + 36 = 62 + 36
(x+6)² = 98
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