Question
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)
One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.
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)
The scatterplot above gives the tree diameter plotted against age for 26 trees of a single species. The growth factor of this species is closest to that of which of the following species of tree?
- Red maple
- Cottonwood
- White birch
- Shagbark hickory
The correct answer is: Shagbark hickory
Solution:-
- The growth factor of a tree species is approximated by the slope of a line of best fit that models the relationship between diameter and age.
- A line of best fit can be visually estimated by identifying a line that goes in the same direction of the data and where roughly half the given data points fall above and half the given data points fall below the line.
- Two points that fall on the line can be used to estimate the slope and y-intercept of the equation of a line of best fit.
- Estimating a line of best fit for the given scatterplot could give the points
(11, 80) and (15, 110). Using these two points, the slope of the equation of the line of best fit can be calculated as
Slope= (110 – 80 )(15 -11) = 30/4 = 7.5
The slope of the equation is interpreted as the growth factor for a species of tree.
- According to the table, the species of tree with a growth factor of 7.5 is shagbark hickory.
Choices A, B, and C are incorrect and likely result from errors made when estimating a line of
best fit for the given scatterplot and its slope.
Therefore correct option is D)Shagbark History.
Related Questions to study
![](data:image/png;base64,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)
One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.
According to the information in the table, what is the approximate age of an American elm tree with a diameter of 12 inches?
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)
One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.
According to the information in the table, what is the approximate age of an American elm tree with a diameter of 12 inches?
y=x2 - a
In the equation above, a is a positive constant and the graph of the equation in the xy‑plane is a parabola. Which of the following is an equivalent form of the equation?
y=x2 - a
In the equation above, a is a positive constant and the graph of the equation in the xy‑plane is a parabola. Which of the following is an equivalent form of the equation?
The density d of an object is found by dividing the mass m of the object by its volume V. Which of the following equations gives the mass m in terms of d and V ?
The density d of an object is found by dividing the mass m of the object by its volume V. Which of the following equations gives the mass m in terms of d and V ?
In the 1908 Olympic Games, the Olympic marathon was lengthened from 40 kilometers to approximately 42 kilometers. Of the following, which is closest to the increase in the distance of the Olympic marathon, in miles? (1 mile is approximately 1.6 kilometers.)
In the 1908 Olympic Games, the Olympic marathon was lengthened from 40 kilometers to approximately 42 kilometers. Of the following, which is closest to the increase in the distance of the Olympic marathon, in miles? (1 mile is approximately 1.6 kilometers.)
Which of the following is an equivalent form of ![left parenthesis 1.5 x minus 2.4 right parenthesis to the power of 2 end exponent minus open parentheses 5.2 x to the power of 2 end exponent minus 6.4 close parentheses ?](data:image/png;base64,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)
Which of the following is an equivalent form of ![left parenthesis 1.5 x minus 2.4 right parenthesis to the power of 2 end exponent minus open parentheses 5.2 x to the power of 2 end exponent minus 6.4 close parentheses ?](data:image/png;base64,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)
The Downtown Business Association (DBA) in a certain city plans to increase its membership by a total of n businesses per year. There were b businesses in the DBA at the beginning of this year. Which function best models the total number of businesses, y, the DBA plans to have as members x years from now?
The Downtown Business Association (DBA) in a certain city plans to increase its membership by a total of n businesses per year. There were b businesses in the DBA at the beginning of this year. Which function best models the total number of businesses, y, the DBA plans to have as members x years from now?
An online bookstore sells novels and magazines. Each novel sells for $4, and each magazine sells for $1. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $20, how many novels did she purchase?
An online bookstore sells novels and magazines. Each novel sells for $4, and each magazine sells for $1. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $20, how many novels did she purchase?
The weight of an object on Venus is approximately
of its weight on Earth. The weight of an object on Jupiter is approximately
of its weight on Earth. If an object weighs 100 pounds on Earth, approximately how many more pounds does it weigh on Jupiter than it weighs on Venus?
The weight of an object on Venus is approximately
of its weight on Earth. The weight of an object on Jupiter is approximately
of its weight on Earth. If an object weighs 100 pounds on Earth, approximately how many more pounds does it weigh on Jupiter than it weighs on Venus?
If 3(c + d) = 5 , what is the value of c + d ?
If 3(c + d) = 5 , what is the value of c + d ?
To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces)
To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces)
Some values of the linear function f are shown in the table above. Which of the following defines f ?
Some values of the linear function f are shown in the table above. Which of the following defines f ?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/765315/1/1244683/Picture1.png)
According to the line graph above, between which two consecutive years was there the greatest change in the number of 3‑D movies released?</span
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/765315/1/1244683/Picture1.png)
According to the line graph above, between which two consecutive years was there the greatest change in the number of 3‑D movies released?</span
The volume of right circular cylinder A is 22 cubic centimeters. What is the volume, in cubic centimeters, of a right circular cylinder with twice the radius and half the height of cylinder A?
The volume of right circular cylinder A is 22 cubic centimeters. What is the volume, in cubic centimeters, of a right circular cylinder with twice the radius and half the height of cylinder A?
A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, “Are you satisfied with the quality of air in the city?” Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?
I. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.
II. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
III. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
In mathematics, a survey is a technique for gathering data that involves posing a series of questions to participants to learn more about their attitudes and behaviors. It is the most typical and affordable method of data collection.
For example, Knowledge of consumer purchasing patterns can be used to understand product demand better and increase sales.
Types of Survey Methods
The procedure for gathering data is referred to as the survey method. Different approaches can help you get the extra information or insights you're looking for. Below is a list of some popular techniques.
Online Survey
Paper Survey
Telephonic Survey
Face-to-Face Interview
A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, “Are you satisfied with the quality of air in the city?” Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?
I. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.
II. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
III. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
In mathematics, a survey is a technique for gathering data that involves posing a series of questions to participants to learn more about their attitudes and behaviors. It is the most typical and affordable method of data collection.
For example, Knowledge of consumer purchasing patterns can be used to understand product demand better and increase sales.
Types of Survey Methods
The procedure for gathering data is referred to as the survey method. Different approaches can help you get the extra information or insights you're looking for. Below is a list of some popular techniques.
Online Survey
Paper Survey
Telephonic Survey
Face-to-Face Interview
![Q equals square root of fraction numerator 2 d K over denominator h end fraction end root](data:image/png;base64,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)
The formula above is used to estimate the ideal quantity, Q, of items a store manager needs to order given the demand quantity, d; the setup cost per order, K; and the storage cost per item, h. Which of the following correctly expresses the storage cost per item in terms of the other variables?
Note:
Whenever there is an equation with a square root involved, first we try to remove that square root to get a clear picture of the equation. It is easier to operate on an equation with no square roots or log or inverse.
![Q equals square root of fraction numerator 2 d K over denominator h end fraction end root](data:image/png;base64,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)
The formula above is used to estimate the ideal quantity, Q, of items a store manager needs to order given the demand quantity, d; the setup cost per order, K; and the storage cost per item, h. Which of the following correctly expresses the storage cost per item in terms of the other variables?
Note:
Whenever there is an equation with a square root involved, first we try to remove that square root to get a clear picture of the equation. It is easier to operate on an equation with no square roots or log or inverse.