Maths-
SAT
Easy
Question
f(x) = 116.18 - 2.31x
The average low temperature, in degrees Fahrenheit (°F), for locations in the United States in January can be modeled by the given function f, where x is the latitude, in degrees north of the equator (°N), between the longitude lines of 90°W and 100°w.
g(x) = 69.79 - 0.80x
For locations in Europe and North Africa, the average low temperature in January, in °F, can be modeled by the given function g, where x is the latitude, in °N, between the longitude lines of 0°E and 10°E. For which of the following values of x are the predictions made by the model for the United States and the model for Europe and North Africa closest in value?
- 14.9
- 30.7
- 45.2
- 59.8
The correct answer is: 30.7
Question is asking which latitude would represent an equal temperature in north America, Europe and North Africa equate both functions f(x) and g(x) to get x = 30.7.
Related Questions to study
maths-
f(x) = 116.18 - 2.31x
The average low temperature, in degrees Fahrenheit (°F), for locations in the United States in January can be modeled by the given function f, where x is the latitude, in degrees north of the equator (°N), between the longitude lines of 90°W and 100°w.
Lisbon, North Dakota, has a latitude of approximately 46.4 °N and a longitude of approximately 97.7°W. Which of the following is closest to the average low temperature, in °F, in January, predicted for Lisbon by the model?
f(x) = 116.18 - 2.31x
The average low temperature, in degrees Fahrenheit (°F), for locations in the United States in January can be modeled by the given function f, where x is the latitude, in degrees north of the equator (°N), between the longitude lines of 90°W and 100°w.
Lisbon, North Dakota, has a latitude of approximately 46.4 °N and a longitude of approximately 97.7°W. Which of the following is closest to the average low temperature, in °F, in January, predicted for Lisbon by the model?
maths-sat
maths-
In a recent state election, Mrs. Smith was a candidate for governor. A sample of 21 voting districts was selected at random from all voting districts in the state. From each district in the sample, 200 registered voters were selected at random and asked whether they planned to vote for Mrs. Smith. Each point in the scatterplot above represents the number of registered voters in one of the 21 districts and the estimated proportion of voters in that district who plan to vote for Mrs. Smith. Four districts (A, B, C, and D) are labeled in the scatterplot. A line of best fit for the data is also shown.
Based on the sample, which of the labeled districts in the scatterplot has the greatest number of registered voters who plan to vote for Mrs. Smith?
In a recent state election, Mrs. Smith was a candidate for governor. A sample of 21 voting districts was selected at random from all voting districts in the state. From each district in the sample, 200 registered voters were selected at random and asked whether they planned to vote for Mrs. Smith. Each point in the scatterplot above represents the number of registered voters in one of the 21 districts and the estimated proportion of voters in that district who plan to vote for Mrs. Smith. Four districts (A, B, C, and D) are labeled in the scatterplot. A line of best fit for the data is also shown.
Based on the sample, which of the labeled districts in the scatterplot has the greatest number of registered voters who plan to vote for Mrs. Smith?
maths-sat
maths-
In a recent state election, Mrs. Smith was a candidate for governor. A sample of 21 voting districts was selected at random from all voting districts in the state. From each district in the sample, 200 registered voters were selected at random and asked whether they planned to vote for Mrs. Smith. Each point in the scatterplot above represents the number of registered voters in one of the 21 districts and the estimated proportion of voters in that district who plan to vote for Mrs. Smith. Four districts (A, B, C, and D) are labeled in the scatterplot. A line of best fit for the data is also shown.
Based on the line of best fit, which of the following is closest to the predicted proportion of registered voters who plan to vote for Mrs. Smith in a district with 20,000 registered voters?
In a recent state election, Mrs. Smith was a candidate for governor. A sample of 21 voting districts was selected at random from all voting districts in the state. From each district in the sample, 200 registered voters were selected at random and asked whether they planned to vote for Mrs. Smith. Each point in the scatterplot above represents the number of registered voters in one of the 21 districts and the estimated proportion of voters in that district who plan to vote for Mrs. Smith. Four districts (A, B, C, and D) are labeled in the scatterplot. A line of best fit for the data is also shown.
Based on the line of best fit, which of the following is closest to the predicted proportion of registered voters who plan to vote for Mrs. Smith in a district with 20,000 registered voters?
maths-sat
maths-
Which statement best compares the means of the two data sets shown?
Which statement best compares the means of the two data sets shown?
maths-sat
maths-
In the equation cx + dy = 20, c and d are negative constants. Which of the following could be the graph of the equation in the xy-plane?
In the equation cx + dy = 20, c and d are negative constants. Which of the following could be the graph of the equation in the xy-plane?
maths-sat
maths-
For positive values of x and n, x is n% of 20. Which expression represents n in terms of x?
For positive values of x and n, x is n% of 20. Which expression represents n in terms of x?
maths-sat
maths-
The graph of y = w(x) is shown in the xy-plane.
If a, b, and c are positive constants, which of the following could define the function the function w?
The graph of y = w(x) is shown in the xy-plane.
If a, b, and c are positive constants, which of the following could define the function the function w?
maths-sat
maths-
If 
, what is the value of x?
If , what is the value of x?
maths-sat
maths-
A psychologist studied how employees at a large company prefer to work. The psychologist surveyed 3 group of employees. The result are summarized in the table.
If a surveyed employee who prefers to work on a team is chosen at random, what is the probability of selecting an employee from group A or group B?
A psychologist studied how employees at a large company prefer to work. The psychologist surveyed 3 group of employees. The result are summarized in the table.
If a surveyed employee who prefers to work on a team is chosen at random, what is the probability of selecting an employee from group A or group B?
maths-sat
maths-
In 2007, wind erosion was responsible for 0.77 billion tons of soil loss on cropland in the US. Sheet water erosion and rill water erosion were also responsible for soil loss on cropland. These three types of erosion were responsible for a total of 1.73 billion tons of soil loss. Which inequality represents the soil loss x, in billions of tons, on cropland from sheet water erosion in 2007?
In 2007, wind erosion was responsible for 0.77 billion tons of soil loss on cropland in the US. Sheet water erosion and rill water erosion were also responsible for soil loss on cropland. These three types of erosion were responsible for a total of 1.73 billion tons of soil loss. Which inequality represents the soil loss x, in billions of tons, on cropland from sheet water erosion in 2007?
maths-sat
maths-
In the figure shown, 
is parallel to 
. What is the length of ?
In the figure shown, is parallel to . What is the length of ?
maths-sat
maths-
The dot plot shows the reported mass, in kilograms (kg), of 20 ostriches.
How many of the ostriches have a reported mass of 110 kg?
The dot plot shows the reported mass, in kilograms (kg), of 20 ostriches.
How many of the ostriches have a reported mass of 110 kg?
maths-sat
maths-
If (x - 2)2 = 16, what is one possible value of x + 2?
If (x - 2)2 = 16, what is one possible value of x + 2?
maths-sat
maths-
A car dealership has only sedans, SUVs, and minivans for sale. On Monday, 20% of the vehicles for sale were sedans and 50% were SUVs. If there were 16 sedans for sale at the dealership on Monday, how many minivans were for sale?
A car dealership has only sedans, SUVs, and minivans for sale. On Monday, 20% of the vehicles for sale were sedans and 50% were SUVs. If there were 16 sedans for sale at the dealership on Monday, how many minivans were for sale?
maths-sat
maths-
In the xy-plane, the graph of the equation 
intersects the y-axis at (0, c). What is the value of c?
In the xy-plane, the graph of the equation intersects the y-axis at (0, c). What is the value of c?
maths-sat
