SOCIAL MEDIA A Nielsen survey of 3000 American moviegoers aged 12 − 74 found that 27 % of them used social media to chat about movies in 2010. The percentage was 29 % in 2011 and 31 % in 2012. Let t = 0 , t = 1 , and t = 2 correspond to the years 2010, 2011, and 2012, respectively. a. Explain why the three points P 1 ( 0 , 27 ) , P 2 ( 1 , 29 ) , and P 3 ( 2 , 31 ) lie on a straight line L . b. If the trend continued, what was the percentage of moviegoers who used social media to chat about movies in 2015? c. Find an equation of L. Then use this equation to find and reconcile the result obtained in part (b). Source: Nielsen survey.
SOCIAL MEDIA A Nielsen survey of 3000 American moviegoers aged 12 − 74 found that 27 % of them used social media to chat about movies in 2010. The percentage was 29 % in 2011 and 31 % in 2012. Let t = 0 , t = 1 , and t = 2 correspond to the years 2010, 2011, and 2012, respectively. a. Explain why the three points P 1 ( 0 , 27 ) , P 2 ( 1 , 29 ) , and P 3 ( 2 , 31 ) lie on a straight line L . b. If the trend continued, what was the percentage of moviegoers who used social media to chat about movies in 2015? c. Find an equation of L. Then use this equation to find and reconcile the result obtained in part (b). Source: Nielsen survey.
Solution Summary: The author explains that the three given points lie on a straight line L. The formula to calculate the slope of the line is given by m=y_2-x
SOCIAL MEDIA A Nielsen survey of
3000
American moviegoers aged
12
−
74
found that
27
%
of them used social media to chat about movies in 2010. The percentage was
29
%
in 2011 and
31
%
in 2012. Let
t
=
0
,
t
=
1
, and
t
=
2
correspond to the years 2010, 2011, and 2012, respectively.
a. Explain why the three points
P
1
(
0
,
27
)
,
P
2
(
1
,
29
)
, and
P
3
(
2
,
31
)
lie on a straight line L.
b. If the trend continued, what was the percentage of moviegoers who used social media to chat about movies in 2015?
c. Find an equation of L. Then use this equation to find and reconcile the result obtained in part (b).
Q1: A: Let M and N be two subspace of finite dimension linear space X, show that if M = N
then dim M = dim N but the converse need not to be true.
B: Let A and B two balanced subsets of a linear space X, show that whether An B and
AUB are balanced sets or nor.
Q2: Answer only two
A:Let M be a subset of a linear space X, show that M is a hyperplane of X iff there exists
ƒ€ X'/{0} and a € F such that M = (x = x/f&x) = x}.
fe
B:Show that every two norms on finite dimension linear space are equivalent
C: Let f be a linear function from a normed space X in to a normed space Y, show that
continuous at x, E X iff for any sequence (x) in X converge to Xo then the sequence
(f(x)) converge to (f(x)) in Y.
Q3: A:Let M be a closed subspace of a normed space X, constract a linear space X/M as
normed space
B: Let A be a finite dimension subspace of a Banach space X, show that A is closed.
C: Show that every finite dimension normed space is Banach space.
pls help
Chapter 1 Solutions
Finite Mathematics For The Managerial, Life, And Social Sciences
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