Answer:
V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year
Step-by-step explanation:
Given that oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.
i.e. if V stands for volume of oil, then
To find A and k
V(0) = A = 3 million
Hence V =
V(6) = 1.5
i.e.
a) Using the above value of k , we have
million per year.
Answer:
The 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).
Step-by-step explanation:
The data for the amount of money spent weekly on groceries is as follows:
S = {210, 23, 350, 112, 27, 175, 275, 50, 95, 450}
<em>n</em> = 10
Compute the sample mean and sample standard deviation:
It is assumed that the data come from a normal distribution.
Since the population standard deviation is not known, use a <em>t</em> confidence interval.
The critical value of <em>t</em> for 95% confidence level and degrees of freedom = n - 1 = 10 - 1 = 9 is:
*Use a <em>t</em>-table.
Compute the 95% confidence interval for the population mean amount spent on groceries by Connecticut families as follows:
Thus, the 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).