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<h3>Answer:</h3>
m= 15
b= 45
y= 15x +45
<h3>Concept:</h3><u>Overall equation</u>
The equation of a line in slope-intercept form is given by y= mx +b, where m is the slope and b is the y-intercept.
<u>Slope, m</u>
The slope is the measure of how steep the line is. It also defines how the y-axis changes with respect to the x-axis. The formula for finding slope is as shown below.
where is the first coordinate and
is the second coordinate
<u>y-intercept, b</u>
This is the y-value in which the line cuts through the y-axis (vertical axis).
<h3>Working:</h3><u>Slope, m</u>
Let's identify two pairs of coordinates on the line.
2 square units on the y-axis represent $30. Thus, 1 unit on the y-axis represents $15.
The 2 points are: (0, 45) and (5, 120)
Substitute the 2 points into the slope formula:
Slope
=
<em>= </em>
= 15
Thus, m= 15.
<u>y-intercept, b</u>
From the graph, the line cuts through the y-axis at y= 45.
Thus, b= 45.
<u>Overall equation</u>
Substitute m= 15 & b= 45 into y= mx +b:
∴ The equation of the line is y= 15x +45.
<h3>Additional:</h3>To learn more about slope-intercept form, do check out: brainly.com/question/26351470
Answer:
Suppose you want to assess student attitudes about the new campus center by surveying 100 students at your school. In this example, the group of 100 students represents the Sample, and all of the students at your school represent the Population.
Step-by-step explanation:
Previous concepts
The term sample represent a set of observations or individuals selected from a population. And we can have a random sample (when all the individuals have the same probability of being selected) or a non random sample (when not all the individuals have probability of inclusion into the sample)
The term population represent the total of observations or individuals with a common characteristic.
If N represent the sample of the population and n the sample size we have always this inequality:
Solution to the problem
Suppose you want to assess student attitudes about the new campus center by surveying 100 students at your school. In this example, the group of 100 students represents the Sample, and all of the students at your school represent the Population.