2. An agronomist want to take soil sample from a circular patch of ground with radius 9 meters. Consider the center of the circle to be the point (0,0) and assume the agronomist randomly selects a point for the sample. Let X represent the x coordinate and Y represent the y coordinate of the point chosen, relative to the center. So it is true that x? + y? < 9² and f(x,y) = {01n x? + y? < 9² otherwise What is the probability that the chosen point is within 4.5 meters of the center of the circular region? Hint: this is an area problem.
2. An agronomist want to take soil sample from a circular patch of ground with radius 9 meters. Consider the center of the circle to be the point (0,0) and assume the agronomist randomly selects a point for the sample. Let X represent the x coordinate and Y represent the y coordinate of the point chosen, relative to the center. So it is true that x? + y? < 9² and f(x,y) = {01n x? + y? < 9² otherwise What is the probability that the chosen point is within 4.5 meters of the center of the circular region? Hint: this is an area problem.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.3: Distance And Slope
Problem 69PS
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An agronomist want to take soil sample from a circular patch of ground with radius 9 meters. Consider the center of the circle to be the point (0,0) and assume the agronomist randomly selects a point for the sample. Let X represent the x coordinate and Y represent the y coordinate of the point chosen, relative to the center. So it is true that (SEE IMAGE FOR NUMBERS)
Transcribed Image Text:2. An agronomist want to take soil sample from a circular patch of ground with radius 9
meters. Consider the center of the circle to be the point (0,0) and assume the
agronomist randomly selects a point for the sample. Let X represent the x coordinate
and Y represent the y coordinate of the point chosen, relative to the center. So it is true
that x? + y? < 9² and f(x,y) = {01n
x? + y? < 9²
otherwise
What is the probability that the chosen point is within 4.5 meters of the center of the
circular region? Hint: this is an area problem.
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