Answer:
Step-by-step explanation:
First, note that
And using the chain rule in one variable
Now remember that the chain rule in several variables sates that
Therefore the chain rule in several variables would look like this.
Answer:
it is 5,300
Step-by-step explanation:
easy(not)
Answer:
c) there is 95% confidence that the population mean number of books read is between 13.77 and 15.83.
Step-by-step explanation:
We have to calculate a 95% 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=14.8.
The sample size is N=1003.
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 95% confidence interval and 1002 degrees of freedom is t=1.96.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the mean number of books read is (13.77, 15.83).
This indicates that there is 95% confidence that the true mean is within 13.77 and 15.83. Also, that if we take multiples samples, it is expected that 95% of the sample means will fall within this interval.
A. The relation is a function if one x-value goes out to one <em />y-value. We can check the graph for that. Does any x-value come out to more than one y-value? No, so, therefore, yes, the relation is a function.
B. The domain is all the x-values shown in the relation. Therefore, it is Domain:{-4, -3, -2, 0, 2, 3}
C. Like the domain question, it is the y-values shown. Therefore, the range is Range: {2, 0, -1, 2, -3, 3}
D. The value of y is at x=2 is the y-value of the point that it shows in the relation when x = 2. We find the point where x=2 (the fifth one from the left), and the y-value there is -3
Answer:
B
Step-by-step explanation: