Answer:
The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87
Step-by-step explanation:
We have the standard deviation for the sample. So we use the t-distribution 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 = 45 - 1 = 44
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.0141
The margin of error is:
M = T*s = 2.0141*170.5 = 343.4
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 390.47 - 343.40 = 47.07 units per month
The upper end of the interval is the sample mean added to M. So it is 390.47 + 343.40 = 733.87 units per month
The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87
1.BD=AC
AC^2=(9^2)+(6^2)-2(9)(6)COS115
AC^2=117-108COS115
AC=√71.358
AC=8.447//
Question 1
You can see that each term is obtained from the previous one by subtracting 8. Starting from 30, we subtract 8 to get 22. Then, we subtract 8 to get 14, and we subtract 8 to get 6.
So, the next three terms will be given by subtracting 8 again and again:
Correct answer: D
Question 2
The sequence starts with 4, and so option is surely wrong. Every next term is given by doubling the previous one: starting with 4, we double it to get 8; we double it it get 16, and finally we double it to get 32.
Correct answer: A
Question 3
In order to find the first four terms of the sequence, we have to plug the values in the equation: we have
Correct answer: B
Answer:
11/12
Step-by-step explanation:
1 2/12 = 14/12
14/12 - 2/12 - 1/12
since they all have 12, it doesn't matter until the end
14 - 2 = 12 - 1 = 11
put the /12 behind the 11 and you have an answer