Answer:
The 98% confidence interval for the mean usage in the March quarter of 2006, in kWh, was (333.87, 416.13).
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 = 30 - 1 = 29
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.462
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 375 - 41.13 = 333.87 kWh
The upper end of the interval is the sample mean added to M. So it is 375 + 41.13 = 416.13 kWh
The 98% confidence interval for the mean usage in the March quarter of 2006, in kWh, was (333.87, 416.13).
Answer:
- 40
Step-by-step explanation:
Answer:
Second table.
Step-by-step explanation:
A function has an additive rate of change if there is a constant difference between any two consecutive input and output values.
The additive rate of change is determined using the slope formula,
From the first table we can observe a constant difference of -6 among the y-values and a constant difference of 2 among the x-values.
For the second table there is a constant difference of 3 among the y-values and a constant difference of 1 among the x-values.
The additive rate of change of this table is
Therefore the second table has an additive rate of change of 3.
Answer:
y=29*x
Step-by-step explanation:
This problem is a linear function problem. We need at least two points to solve it. After finding two points we will compute the slope and then us the point-slope formula.
If you put 11 gallons of gasoline in your car it will allow you to drive 319 miles, this means that when x= 11 then, y=319. So the first point is (11,319). For the second point you now that if you have no gallons of gasoline then you won't be able to drive so, the second point is (0,0).
Now that we have to points we are able to compute the slope. The formula for the slope is:
.
this way
.
.
Now that we have the slope, we can use the point-slope formula to get the equation. The point-slope formula is:
(here it doesn't matter which point you use, you will get the same result).
Substituting the point (11,319) and the slope:
And we finaly get the equation!