To graph: The scatter plot that represents the data as a set of six points in the rectangular coordinate axis, where x represent the number of birth years after 1960 and y represents male life expectancy. The bar graph for American men and women life expectancy born in six selected years is shown below,
To graph: The scatter plot that represents the data as a set of six points in the rectangular coordinate axis, where x represent the number of birth years after 1960 and y represents male life expectancy. The bar graph for American men and women life expectancy born in six selected years is shown below,
Solution Summary: The author illustrates the linear function of the line that models the life expectancy of American men and women in selected years.
Definition Definition Representation of the direction and degree of correlation in graphical form. The grouping of points that are plotted makes it a scatter diagram. A line can be drawn showing the relationship based on the direction of points and their distance from each other.
Chapter 2.3, Problem 89PE
(a)
To determine
To graph: The scatter plot that represents the data as a set of six points in the rectangular coordinate axis, where x represent the number of birth years after 1960 and y represents male life expectancy. The bar graph for American men and women life expectancy born in six selected years is shown below,
(b)
To determine
The linear function that models the life expectancy E(x) of the men born x years after 1960 with the help of the coordinates on the scatter plot for the years 1980 and 2000, also draw a line through the two points which shows the life expectancy of the men in 1980 and 2000.
(c)
To determine
To calculate: The life expectancy of a men born in 2020 in America, where the formula that models the life expectancy of the men in Americaafter 1960 is E(x)=0.215x+65.7.
10-2
Let A =
02-4
and b =
4
Denote the columns of A by a₁, a2, a3, and let W = Span {a1, a2, a̸3}.
-4 6
5
- 35
a. Is b in {a1, a2, a3}? How many vectors are in {a₁, a₂, a3}?
b. Is b in W? How many vectors are in W?
c. Show that a2 is in W. [Hint: Row operations are unnecessary.]
a. Is b in {a₁, a2, a3}? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your
choice.
○ A. No, b is not in {a₁, a2, 3} since it cannot be generated by a linear combination of a₁, a2, and a3.
B. No, b is not in (a1, a2, a3}
since b is not equal to a₁, a2, or a3.
C. Yes, b is in (a1, a2, a3} since b = a
(Type a whole number.)
D. Yes, b is in (a1, a2, 3} since, although b is not equal to a₁, a2, or a3, it can be expressed as a linear
combination of them. In particular, b =
+
+
☐ az.
(Simplify your answers.)
14
14
4. The graph shows the printing rate of Printer A. Printer B can
print at a rate of 25 pages per minute. How does the printing
rate for Printer B compare to the printing rate for Printer A?
The printing rate for Printer B is
than the rate
for Printer A because the rate of 25 pages per minute
is
than the rate of
for Printer A.
pages per minute
RIJOUT
40
fy
Printer Rat
Number of Pages
8N WA
10
30
20
Printer A
0
0
246
Time (min)
X
OR
16 f(x) =
Ef 16
χ
по
x²-2 410 | y = (x+2) + 4
Y-INT: y = 0
X-INT: X=0
VA: x=2
OA: y=x+2
0
X-INT: X=-2
X-INT: y = 2
VA
0
2
whole.
2-2
4
y - (x+2) = 27-270
+
xxx> 2
क्
above OA
(x+2) OA
x-2/x²+0x+0
2
x-2x
2x+O
2x-4
4
X<-1000 4/4/2<0 below Of
y
VA
X=2
X-2
OA
y=x+2
-2
2
(0,0)
2
χ
Chapter 2 Solutions
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