3. The scatterplot shows the ages, a, of 10 army drill sergeants and the time, T, it took each to run 100 meters, in seconds. a. What was the hundred-meter time for the 25-year- old drill sergeant? b. How old was the drill sergeant whose hundred- meter time was 12.6 seconds? e. Time (sec) 14 12 10 10 20 30 40 50 60 Age (years) C. Draw a line of best fit. d. Choose two points on your line to find the equation of your line of best fit for T in terms of a. Use your equation to predict the hundred-meter time of a 40-year-old drill sergeant and a 12-year-old drill sergeant. Are these predictions reasonable?
3. The scatterplot shows the ages, a, of 10 army drill sergeants and the time, T, it took each to run 100 meters, in seconds. a. What was the hundred-meter time for the 25-year- old drill sergeant? b. How old was the drill sergeant whose hundred- meter time was 12.6 seconds? e. Time (sec) 14 12 10 10 20 30 40 50 60 Age (years) C. Draw a line of best fit. d. Choose two points on your line to find the equation of your line of best fit for T in terms of a. Use your equation to predict the hundred-meter time of a 40-year-old drill sergeant and a 12-year-old drill sergeant. Are these predictions reasonable?
Chapter2: Solving Linear Equations
Section2.4: Solve Mixture And Uniform Motion Applications
Problem 290E: John left his house in Irvine at 8:35 a.m. to drive to a meeting in Los Angeles, 45 miles away. He...
Related questions
Question
Question 3a,b,c,d,e
question 4a,b,c,d,e,f
![3. The scatterplot shows the ages, a, of 10 army drill
sergeants and the time, T, it took each to run 100
meters, in seconds.
a.
b. How old was the drill sergeant whose hundred-
meter time was 12.6 seconds?
4.
What was the hundred-meter time for the 25-year-
old drill sergeant?
e.
10 20
C.
Draw a line of best fit.
d. Choose two points on your line to find the equation of your line of best fit for T in terms of a.
Distance to nearest
neighbor (meters), d 20
Probability of
predators (%), p
C.
Use your equation to predict the hundred-meter time of a 40-year-old drill sergeant and a 12-year-old drill
sergeant. Are these predictions reasonable?
Birds' nests are always in danger from predators. If there are other nests close by, the chances of predators find
the nest increase. The table shows the probability of a nest
being found by predators and the distance to the nearest
neighboring next. (Source: Perrins, 1979)
Time (sec)
47
60 80 100
34 32 17 1.5
14
12
10
a. Plot the data and draw your line of best fit.
b. Using two points on your line, find the equation of the
line.
Use the equation of your line estimate the probability of
predators finding a nest if its nearest neighbor is 50
meters away.
50-
45
40
35-
30-
25
20-
15
30 40 50 60
Age (years)
10-
5
0 10 20 30 40 50
d. If the probability of predators finding a nest is 10%, how far away is its nearest neighbor?
f. In plain English, write a sentence interpreting the slope of your line of best fit.
60 70 80 90 100
e. What is the probability of predators finding the nest if its nearest neighbor is 120 meters away? Is your
answer reasonable?
10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd79997bd-1e0d-4ad8-8866-a9892cc695a2%2Ff62affa5-250e-4d72-ac51-d7f5d734ebe4%2Fhc5qzcg_processed.png&w=3840&q=75)
Transcribed Image Text:3. The scatterplot shows the ages, a, of 10 army drill
sergeants and the time, T, it took each to run 100
meters, in seconds.
a.
b. How old was the drill sergeant whose hundred-
meter time was 12.6 seconds?
4.
What was the hundred-meter time for the 25-year-
old drill sergeant?
e.
10 20
C.
Draw a line of best fit.
d. Choose two points on your line to find the equation of your line of best fit for T in terms of a.
Distance to nearest
neighbor (meters), d 20
Probability of
predators (%), p
C.
Use your equation to predict the hundred-meter time of a 40-year-old drill sergeant and a 12-year-old drill
sergeant. Are these predictions reasonable?
Birds' nests are always in danger from predators. If there are other nests close by, the chances of predators find
the nest increase. The table shows the probability of a nest
being found by predators and the distance to the nearest
neighboring next. (Source: Perrins, 1979)
Time (sec)
47
60 80 100
34 32 17 1.5
14
12
10
a. Plot the data and draw your line of best fit.
b. Using two points on your line, find the equation of the
line.
Use the equation of your line estimate the probability of
predators finding a nest if its nearest neighbor is 50
meters away.
50-
45
40
35-
30-
25
20-
15
30 40 50 60
Age (years)
10-
5
0 10 20 30 40 50
d. If the probability of predators finding a nest is 10%, how far away is its nearest neighbor?
f. In plain English, write a sentence interpreting the slope of your line of best fit.
60 70 80 90 100
e. What is the probability of predators finding the nest if its nearest neighbor is 120 meters away? Is your
answer reasonable?
10
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Question 4A,b,c,d,e,f
![4.
Birds' nests are always in danger from predators. If there are other nests close by, the chances of predators find
the nest increase. The table shows the probability of a nest
being found by predators and the distance to the nearest
neighboring next. (Source: Perrins, 1979)
Distance to nearest
neighbor (meters), d
Probability of
predators (%), p
20
C.
40 60 80 100
47 34 32 17 1.5
a. Plot the data and draw your line of best fit.
b. Using two points on your line, find the equation of the
line.
Use the equation of your line estimate the probability of
predators finding a nest if its nearest neighbor is 50
meters away.
50-
45-
40-
35
30-
25-
20-
15
10-
5
0 10 20 30 40 50 60 70 80 90 100
d. If the probability of predators finding a nest is 10%, how far away is its nearest neighbor?
e. What is the probability of predators finding the nest if its nearest neighbor is 120 meters away? Is your
answer reasonable?
f.
In plain English, write a sentence interpreting the slope of your line of best fit.
10](https://content.bartleby.com/qna-images/question/d79997bd-1e0d-4ad8-8866-a9892cc695a2/f5aa8b50-b01d-4cea-8c04-baa581939428/984jxl_thumbnail.png)
Transcribed Image Text:4.
Birds' nests are always in danger from predators. If there are other nests close by, the chances of predators find
the nest increase. The table shows the probability of a nest
being found by predators and the distance to the nearest
neighboring next. (Source: Perrins, 1979)
Distance to nearest
neighbor (meters), d
Probability of
predators (%), p
20
C.
40 60 80 100
47 34 32 17 1.5
a. Plot the data and draw your line of best fit.
b. Using two points on your line, find the equation of the
line.
Use the equation of your line estimate the probability of
predators finding a nest if its nearest neighbor is 50
meters away.
50-
45-
40-
35
30-
25-
20-
15
10-
5
0 10 20 30 40 50 60 70 80 90 100
d. If the probability of predators finding a nest is 10%, how far away is its nearest neighbor?
e. What is the probability of predators finding the nest if its nearest neighbor is 120 meters away? Is your
answer reasonable?
f.
In plain English, write a sentence interpreting the slope of your line of best fit.
10
Solution
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