An equation for the line of best fit is y = -0.3x + 4.5 and the value of "m" is -0.3.
<h3>What is a line of best fit?</h3>
A line of best fit simply refers to a statistical tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between data points.
In this scenario, the ordered pairs would be plotted on the x-coordinate and y-coordinate of a scatter plot.
By critically observing the scatter plot (see attachment) which models the ordered pairs, we can reasonably and logically deduce that a linear function for the line of best fit is given by:
y = -0.3x + 4.5 ≡ y = mx + b
<u>Where:</u>
- -0.3 or m represents the slope.
- x and y are the points.
- 4.5 or b represents the y-intercept.
Therefore, m is equal to -0.3.
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Answer:
B
Step-by-step explanation:
calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (- 2, 17) and (x₂, y₂ ) = (4, - 7) ← 2 ordered pairs from the table
m = = = = - 4
Answer:she bought 4 rolls of each color.
Step-by-step explanation:
Let x represent the number of rolls or spools of purple thread that Mrs. Bradley bought.
Let y represent the number of rolls or spools of orange thread that Mrs. Bradley bought.
Mrs. Bradley bought 8 spools of thread. This means that
x + y = 8
Each spool of purple thread is 3 meters long and each spool of orange thread is 4 meters long. If Mrs. Bradley bought 28 meters of thread in total, it means that
3x + 4y = 28
Substituting x = 8 - y into the equation, it becomes
3(8 - y) + 4y = 28
24 - 3y + 4y = 28
- 3y + 4y = 28 - 24
y = 4
Substituting y = 4 into x = 8 - y, it becomes
x = 8 - 4 = 4
See whether you agree with the following statements based upon the diagram:
<span>Vea si está de acuerdo con las siguientes declaraciones basadas en el diagrama:
</span> 100 + y
tan 60 = x / y and tan 30 = -------------
sqrt(3)
100 + y
Then x = sqrt(3)*y and x = -------------
sqrt(3)
100 + y
From these 2 equations we see that sqrt(3)*y = --------------
sqrt(3)
100 + y
From these 2 equations we see that sqrt(3)*y = --------------
<span>De estas 2 ecuaciones vemos que sqrt(3)
</span>
Then 3y = 100 + y, so that 2y = 100 and y = 50 degrees (answer)
x x
Again, tan 60 deg = ------- => sqrt(3) = --------------- y 50
Then 50 sqrt(3) = x (answer)
Answer:
The first 12 terms of the series are represented by:
Step-by-step explanation:
The summation notation for the series is represented by the expression .
The first 12 terms of the series are represented by: