Rectangle ABCD translates 4 units down and 2 units to the right to form rectangle A'B'C'D'. The vertices of rectangle ABCD are l
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Answer:
The interval estimate for the population proportion of American adults who got their health insurance from an employer is (0.43, 0.47).
Step-by-step explanation:
The confidence interval is the interval estimate of the population parameter.
The confidence interval has a certain probability that the true value of the parameter is contained in the interval.
The general form of the confidence interval is:
Here,
SS = sample statistic.
MOE = margin of error
The sample statistic is an unbiased estimator of the population parameter. If the sample size is large enough then the sample statistic can be used to estimate the population parameter value.
In this case the parameter of interest is the population proportion of American adults who got their health insurance from an employer.
The information provided is:
<em>SS = p = </em>0.45.
<em>MOE</em> = 0.02.
Compute the confidence interval for the population proportion <em>p</em> as follows:
Thus, the interval estimate for the population proportion of American adults who got their health insurance from an employer is (0.43, 0.47).
Using the washer method, the volume is given by the integral
where 3 - 1 = 2 is the distance from <em>y</em> = 3 to the axis of revolution, and similarly (1 + sec(<em>x</em>)) - 1 = sec(<em>x</em>) is the distance from <em>y</em> = 1 + sec(<em>x</em>) to the axis. The integrand is symmetric about <em>x</em> = 0, so the integral "folds" in on itself, and the integral from -π/3 to π/3 is twice the integral from 0 to π/3.
So the volume is