Suppose you want to estimate the proportion of traditional college students on your campus who own their own car. From research
1 answer:
Answer:
2,655 students
Step-by-step explanation:
The z-score for a 99% confidence interval is z = 2.576
The standard error for a proportion p is:
For a proportion of p =0.20, in order to ensure a standard error of 0.02, the sample size 'n' must be:
Rounding up to the next whole student, the sample size needed is 2,655 students.
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Parallel lines have same slope so so far the new equation looks like this
now you plug in you points or coordinates to find b or solve for the y-intercept
now that you have your b your final solution is
now you plug in you points or coordinates to find b or solve for the y-intercept
now that you have your b your final solution is
Answer:
The volume for the solid of revolution is and its value is 401.43623.
Step-by-step explanation:
Since the function is rotating over the y-axis and it is a function in terms of x we can use Shell integration which general formula is given by
a) Setting up the integral.
We are given one end point for x which is x = 2, but we are not given the other, so we can set y = 0 on the given equation to get:
Notice that the exponential function is not going to be equal to 0, so we get the other endpoint for the interval as
which give us
Thus we integate from x = 0 to 2, so we will get:
And we can simplify that to
b) Using a calculator to evaluate the integral.
We can use a calculator to write the integral including the interval to get:
And its value rounded to 5 decimal places is