Find the equation of the line parallel to the line graphed that passes through the point (1,1).
2 answers:
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Answer:
Option C.
Step-by-step explanation:
A dashed straight line has a negative slope and goes through (0, 2) and (4, 0).
The given inequality is
We need find the point which is a solution to the given linear inequality.
Check the given inequality for point (2, 3).
This statement is false. Option 1 is incorrect.
Check the given inequality for point (2, 1).
This statement is false. Option 2 is incorrect.
Check the given inequality for point (3, -2).
This statement is false. Option 3 is correct.
Check the given inequality for point (-1,3).
This statement is false. Option 4 is incorrect.
Therefore, the correct option is C.
Answer:
The upper limit of a 95% confidence interval for the population mean would equal 83.805.
Step-by-step explanation:
The standard deviation is the square root of the variance. Since the variance is 25, the sample's standard deviation is 5.
We have the sample standard deviation, not the population, so we use the t-distribution to solve this question.
T interval:
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 = 15 - 1 = 14
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of 0.95(). So we have T = 1.761
The margin of error is:
M = T*s = 1.761*5 = 8.805.
The upper end of the interval is the sample mean added to M. So it is 75 + 8.805 = 83.805.
The upper limit of a 95% confidence interval for the population mean would equal 83.805.