We can write the equation in point-form in this case. The equation should be:
y-y1 = m(x-x1)
y and x can be any point in the line, so we leave them just like that in the equation, we don’t have to add any numbers to them. m is the slope of the line, and (x1, y1) is the given point in the line, which is (-1, 1) in this case.
Now, just substitute the number in,
y - 1 = -2 [x - (-1)]
y - 1 = -2 (x+1)
y - 1 = -2x - 2
2x + y + 1 = 0
So, 2x + y + 1 = 0 is your answer.
The answer is 6.2857 you take all the values add them together then divide by the amount of values
Answer:
The 80% confidence interval for the population mean is (2.156, 2.394).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 8 - 1 = 7
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.415
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 2.275 - 0.119 = 2.156
The upper end of the interval is the sample mean added to M. So it is 2.275 + 0.119 = 2.394
The 80% confidence interval for the population mean is (2.156, 2.394).
Answer:
30
Step-by-step explanation:
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