Dow Jones Industrial Average The following table shows information about each year's Dow Jones Industrial average beginning value, ending value, and annual percent change for the years from 2005 to 2016 . Let B be the set of years when the beginning value was less than 13 , 000 . Let E be the set of years when the ending value was greater than 12 , 000 . Let P be the set of years when the annual percent change was less than 7 % . List the elements of B , E and P . Is any of B , E and P a subset of one of the others (beside itself)? Write a verbal description of P ′ . Find B ′ ∩ P ′ and describe it in words. Find E ′ ∩ P and describe it in words. Dow Jones Industrial Averages Beginning Ending Percent Year Value Value Change 2005 10 , 783.01 10 , 717.50 − 0.61 % 2006 10 , 717.50 12 , 463.15 16.29 % 2007 12 , 463.15 13 , 264.82 6.43 % 2008 13 , 264.82 8776.39 − 33.84 % 2009 8776.39 10 , 428.05 18.82 % 2010 10 , 428.05 11 , 577.51 11.02 % 2011 11 , 577.51 12 , 217.56 5.53 % 2012 12 , 217.56 13 , 104.14 7.26 % 2013 13104.14 16 , 576.66 26.50 % 2014 16 , 576.66 17 , 823.07 7.52 % 2015 17 , 823.07 17 , 425.03 − 2.23 % 2016 17 , 425.03 19 , 726.60 13.42 % Source: Dow Jones and Company
Dow Jones Industrial Average The following table shows information about each year's Dow Jones Industrial average beginning value, ending value, and annual percent change for the years from 2005 to 2016 . Let B be the set of years when the beginning value was less than 13 , 000 . Let E be the set of years when the ending value was greater than 12 , 000 . Let P be the set of years when the annual percent change was less than 7 % . List the elements of B , E and P . Is any of B , E and P a subset of one of the others (beside itself)? Write a verbal description of P ′ . Find B ′ ∩ P ′ and describe it in words. Find E ′ ∩ P and describe it in words. Dow Jones Industrial Averages Beginning Ending Percent Year Value Value Change 2005 10 , 783.01 10 , 717.50 − 0.61 % 2006 10 , 717.50 12 , 463.15 16.29 % 2007 12 , 463.15 13 , 264.82 6.43 % 2008 13 , 264.82 8776.39 − 33.84 % 2009 8776.39 10 , 428.05 18.82 % 2010 10 , 428.05 11 , 577.51 11.02 % 2011 11 , 577.51 12 , 217.56 5.53 % 2012 12 , 217.56 13 , 104.14 7.26 % 2013 13104.14 16 , 576.66 26.50 % 2014 16 , 576.66 17 , 823.07 7.52 % 2015 17 , 823.07 17 , 425.03 − 2.23 % 2016 17 , 425.03 19 , 726.60 13.42 % Source: Dow Jones and Company
Solution Summary: The author explains how to determine the elements of B,EandP..
Dow Jones Industrial Average The following table shows information about each year's Dow Jones Industrial average beginning value, ending value, and annual percent change for the years from
2005
to
2016
. Let
B
be the set of years when the beginning value was less than
13
,
000
. Let
E
be the set of years when the ending value was greater than
12
,
000
. Let
P
be the set of years when the annual percent change was less than
7
%
.
List the elements of
B
,
E
and
P
.
Is any of
B
,
E
and
P
a subset of one of the others (beside itself)?
The weather in Los Angeles is dry most of the time, but it can be quite rainy in the winter.
The rainiest month of the year is February. The following table presents the annual rainfall
in Los Angeles, in inches, for each February from 1965 to 2006.
0.2
3.7
1.2
13.7
1.5
0.2
1.7
0.6
0.1
8.9
1.9
5.5
0.5
3.1
3.1
8.9
8.0
12.7
4.1
0.3
2.6
1.5
8.0
4.6
0.7
0.7
6.6
4.9
0.1
4.4
3.2
11.0
7.9
0.0
1.3
2.4
0.1
2.8
4.9
3.5
6.1
0.1
a.
Construct a stem-and-leaf plot for these data.
b.
Construct a histogram for these data.
C.
Construct a dotplot for these data.
d.
Construct a boxplot for these data. Does the box-plot show any outliers?
The annual revenue of Amazon is given in the table below (sourceLinks to an external site.).
Year
Amazon Annual Revenue(Billions of US dollars)
2020
386.064
2019
280.522
2018
232.887
2017
177.866
2016
135.987
2015
107.006
2014
88.988
2013
74.452
2012
61.093
2011
48.077
2010
34.204
In what year will the estimated revenue of Amazon be 1,357 billion US dollars? Note: I am asking for the year, not the number of years since 2010. This may happen between two years. Round to the nearest year.
The population of Ada County, Idaho has been steadily increasing for more than 20 years. The table below shows the population (people) from 2015 through 2019 in Ada County.
year
2015
2016
2017
2018
2019
population 432,862 444,486 456,548 468,764 481,587
a. What is the average rate of change in the population of Ada County from 2015 to 2018? Round to the nearest whole person and include units.
b. What is the average rate of change in the population of Ada County from 2016 to 2018? Round to the nearest whole person and include units.
c. What is the average rate of change in the population of Ada County from 2017 to 2018? Round to the nearest whole person and include units.
d. What is the average rate of change in the population of Ada County from 2018 to 2019? Round to the nearest whole person and include units.
e. Give a good approximation for the rate at which the population of Ada County is growing by the end of 2018? Round to the nearest whole person and include units.
Chapter 0 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
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