Which statement best explains if the graph correctly represents the proportional relationship y = 0. 5x? A coordinate plane is s
1 answer:
Yes, the points shown on the line would be part of y = 0.5x.
<h2></h2><h2>We have to determine</h2>
Which statement best explains if the graph correctly represents the proportional relationship y = 0.5x?
<h3>According to the question</h3>In the graph, the line goes through (0, 0).
If x = 0, we have
y = 0.5(0) =0.
This is the y-coordinate of the point, so it goes through this.
<h3>The equation for this line is in slope-intercept form, </h3>y= m.x +b,
Where m is the slope and b is the y-intercept.
In this equation, m=0.5 and b=0. T
This means the slope is 0.5 or 1/2; since the slope is rise/run, the line rises 1 for every horizontal increase of 2.
This means starting from (0, 0), we would go up 1 and over 2, creating the point (2, 1). Looking at the graph, the line goes through this point.
Next, we would go up 1 and over 2 again, to (4, 2).
Again, the line goes through this point.
Hence, Yes, the points shown on the line would be part of y = 0.5x.
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Answer:
And we can find this probability with this difference and using the normal standard table or excel:
And the result is illustrated in the figure attached.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference and using the normal standard table or excel:
And the result is illustrated in the figure attached.
