Can someone please help me understand slop? I don’t get it at all! Please please help will mark brainliest. No links, I will rep
2 answers:
Of course I can! So when we are given a line, all you have to do it find the INTERCEPT along the y-axis and then find the rate at which it goes up or down. Now this is just for linear. Their is also exponential and quadratic when you get to that level. In linear, we go up at a constant rate. Same with quadratic. But exponential doesn't increase in equal increments.
If we look at the image attached, you can see that the line intercepts the y axis at (0,7), and to find the actual slope of the line, we do rise over run. So we do the change in y over the change in x. So for the example provided, we go up 1 and then run 4. So the slope of this line is 1/4. And when we use slope-intercept form, y=mx+b. After the slope, we put an x. You were most-likely taught in school to use slope-intercept form when graphing a line.
So our slope of the example is 1/4 and our y-intercept is 7.
So our equation is
y=1/4x+7
I hope that this was able to help you! :)
If you need more help, consider Khan Academy or tutoring with your teacher!
Also, the Desmos Graphing Calculator is a great resource for graphing lines!
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Answer:
So on this case the 80% confidence interval would be given by (3.003;3.297)
And the margin of error is given by:
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".
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n=11 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
Since the Confidence is 0.80 or 80%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NOR.INV(0.1,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 80% confidence interval would be given by (3.003;3.297)
And the margin of error is given by:
When he cubed ,
Result is x³
On further squaring x³, he got = (x³)²