Answer:
The answer is A
Step-by-step explanation:
If Tyler's budget is $125, he cannot spend more than that. He can spend at most $125; which is represented as less than or equal to.

The given set is {-1,0,1,2,3,4,5}
(notice the -2 and 6 are excluded)
the subset which contain positive factors of 5 is {1,5}
so the complement set would be
{-1,0,2,3,4) which matches with b)
The points lie on the line, I believe, since they're part of it.
Simply cross multiply and simplify to get a = 11
Hope this helped!! xx
Answer:
The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).
Critical value t=1.318
Step-by-step explanation:
We have to calculate a 80% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=0.165.
The sample size is N=25.
When σ is not known, s divided by the square root of N is used as an estimate of σM:

The degrees of freedom for this sample size are:

The t-value for a 80% confidence interval and 24 degrees of freedom is t=1.318.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:

The 80% confidence interval for the population mean nitrate concentration is (0.144, 0.186).