Without graphing, determine whether the following pair of lines are parallel, perpendicular, or neither parallel nor perpendicul
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1 answer:
Write the equation of the lines in slope-intercept form (y=mx+b)
First equation: It is already in slope-intercept form
Second equation: solve y:
Identify the slope of each line:
If two or more lines have the same slope then the lines are parallel
If two lines have slopes that are negative reciprocals then the lines are perpendicular
The two given lines have the same slope: 2/5. Then, they are parallel linesYou might be interested in
Answer:
For this case we can find the margin of error like this:
Since we need to divide the width of the interval by 2.
And now with the margin of error we can find the sample mean with any of the two following ways:
So for this case the correct answer would be:
A. Sample Mean = 13.7; Margin of Error = 1.1
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
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".
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value we need to find first the degrees of freedom, given by:
We know that the confidence interval is given by:
For this case we can find the margin of error like this:
Since we need to divide the width of the interval by 2.
And now with the margin of error we can find the sample mean with any of the two following ways:
So for this case the correct answer would be:
A. Sample Mean = 13.7; Margin of Error = 1.1