Question
In: Math
The table shows the estimated percentage P of the population of a certain country that are...
The table shows the estimated percentage P of the population of a certain country that are mobile-phone subscribers. (End of year estimates are given.)
| Year | 1997 | 1999 | 2001 | 2003 | 2005 | 2007 |
| P | 2.1 | 8.2 | 15.7 | 25 | 45.7 | 62.5 |
(a) Find the average rate of change of P.
(i) From 2003 to 2007 ........................... percentage
points per year
(ii) From 2003 to 2005 ............................. percentage
points per year
(iii) From 2001 to 2003 ............................... percentage
points per year
(b) Estimate the instantaneous rate of growth in 2003 by taking the
average of two average rates of change. (Use the average rates of
change for 2001 to 2003 and 2003 to 2005.)
........................... percentage points per year
(c) Estimate the instantaneous rate of growth in 2003 by sketching
a graph of P and measuring the slope of a tangent. (Sketch
your graph so that it is a smooth curve through the points, and so
that the tangent line has an x-intercept of 1999.3 and
passing through the point
(2006, 46.6).
Round your answer to two decimal places.)
.................................... percentage points per year
Solutions
milcah answered 2 years agoRelated Solutions
The table shows the estimated percentage P of the population of a certain country that are...
The table shows the estimated percentage P of the
population of a certain country that are mobile-phone subscribers.
(End of year estimates are given.)
Year
1997
1999
2001
2003
2005
2007
P
2.1
8.2
15.7
25
45.7
62.5
(c) Estimate the instantaneous rate of growth in 2003 by sketching
a graph of P and measuring the slope of a tangent. (Sketch
your graph so that it is a smooth curve through the points, and so
that the tangent line has...
The table shows the percentage of drivers for the entire U.S. population for different age groups....
The table shows the percentage of drivers for the entire U.S.
population for different age groups.
Age Group
15 – 24 ; 25 – 44 ; 45 – 64 ; 65 – 84 ;85 – 104
Percent of drivers
22.21 ; 33.33 ; 29.772; 13.678 ; 1.01
5. Calculate the mean age.
6. What is the variance of the age of the drivers?
7. What is the median class?
What is the cumulative relative frequency of the class 45 -...
The data in the accompanying table represent the population of a certain country every 10 years...
The data in the accompanying table represent the population of a
certain country every 10 years for the years 1900-2000. An
ecologist is interested in finding an equation that describes the
population of the country over time. Complete parts (a) through
(f) below.
year, x
population, y
year, x
population, y
1900
73212
1960
179323
1910
92228
1970
203302
1920
104021
1980
226542
1930
123202
1990
248709
1940
132164
2000
281421
1950
151325
Determine the P-value of this hypothesis test....
The data in the accompanying table represent the population of a certain country every 10 years...
The data in the accompanying table represent the population of a
certain country every 10 years for the years 1900-2000. An
ecologist is interested in finding an equation that describes the
population of the country over time. Complete parts (a) through (f)
below.
Year, x
1900
1910
1920
1930
1940
1950
1960
1970
1980
1990
2000
Population, y
76,212
92,228
104,021
123.202
132,164
151,325
179,323
203,302
226,542
248,709
281,421
(A) Determine the least-squares regression
equation, treating year as the explanatory...
The data in the accompanying table represent the population of a certain country every 10 years...
The data in the accompanying table represent the population of a
certain country every 10 years for the years 1900-2000. An
ecologist is interested in finding an equation that describes the
population of the country over time. Complete parts (a) through
(f) below. LOADING... Click the icon to view the data table. (a)
Determine the least-squares regression equation, treating year as
the explanatory variable. Choose the correct answer below. A.
ModifyingAbove y with caretequals2 comma 022xnegative 1 comma 542
comma...
The data in the accompanying table represent the population of a certain country every 10 years...
The data in the accompanying table represent the population of a
certain country every 10 years for the years 1900-2000. An
ecologist is interested in finding an equation that describes the
population of the country over time.
Year, x Population, y
1900 79,212
1910 92,228
1920 104,021
1930 123,202
1940 132,164
1950 151,325
1960 179,323
1970 203,302
1980 226,542
1990 248,709
2000 281,421
(a) Determine the least-squares regression equation, treating
year as the explanatory...
The table below shows primary school enrollment for a certain country. Here, xx represents the number...
The table below shows primary school enrollment for a certain
country. Here, xx represents the number of years after 18201820,
and yy represents the enrollment percentage. Use Excel to find the
best fit linear regression equation. Round the slope and intercept
to two decimal places.
x y
0 0.1
5 0.1
10 0.1
15 0.2
20 0.2
25 0.3
30 0.4
35 0.5
40 0.6
45 1.1
50 1.5
55 3.0
60 4.5
65 5.5
70 6.1
75 6.8
80 ...
The population data for a certain country are as follows:
The population data for a certain country are as follows: Obtain a function that describes these data. Plot the function and the data on the same plot. Estimate when the population will be double its 2004 size.
2. The percentage of people in a population with a certain ailment (Ailment A) is 7.3%. a. If you...
2. The percentage of people in a population with a
certain ailment (Ailment A) is 7.3%.
a. If you select a sample of 10 people
from this population, what is the probability that at most two of
them will have Ailment A ?
b. What is the probability that at least 3 of them
would have this ailment ?
c. If you select a sample of 200 people,
what is the probability that less than 10 will have ailment A
? Use the normal approximation technique.
d. What is...
The table to the right shows the number of people, in thousands, in a country without...
The table to the right shows the number of people, in
thousands, in a country without health insurance in a certain year.
Complete parts a) through d) below.
Insured
Uninsured
Under 18 years
67 comma 22767,227
7 comma 0537,053
18 to 24 years
21 comma 37221,372
8 comma 8308,830
25 to 34 years
29 comma 10929,109
11 comma 58211,582
35 to 44 years
31 comma 62231,622
8 comma 0258,025
45 to 64 years
67 comma 16167,161
13 comma 03113,031
65...
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