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
answer: it would be one solution, becasue the variables are different and the constants dont matter, since the variables are different
Answer:
Average rate of change = $11250 per year.
Step-by-step explanation:
Let's take two points from given information (2006, 90000) and (2010, 135000).
Now, use slope formula to find slope.
Slope =
Use the two points to find average rate of change (slope)
Average rate of change =
=
=11250
Average rate of change = $11250 per year.
Answer:
y=3x-13
Step-by-step explanation:
First, write your equation: y=3x+b. Plug in your ordered pair to the equation, it should look like this: 2=3(5)+b. 3 times 5 equals 15. This is what your equation should look like: 2=15+b. Subtract 15 from both sides to get -13 as your y-intercept. Go back to your original equation and plug in -13 to b. This is your final equation: y=3x-13. Hope this helped!
Answer:
21/20, or 1.05.
Step-by-step explanation:
In this case, the measure of angle R is the same as angle V.
To find the tangent of a triangle, you do opposite over adjacent.
So, the tangent of angle V is 21 / 20.
That means that tan(R) = 1.05.
Hope this helps!