Calculate the following integrals. if the answer requires a constant of integration, enter it as c. you may enter a symbolic answer for any of the following (for some, that means a formula in terms of x, for others, that means a formula for the exact answer). for those integrals that have a numerical answer, you may enter the numerical value of the integral as a decimal, but be sure to enter sufficiently many decimal places (enter as many as you can). int 5/x^4 text( )dx = 5(-1/3)x^(-3)+c click here to preview your answer. correct: your answer is correct. int_0^1 x^3 text( ) dx = (1/4) click here to preview your answer. correct: your answer is correct. int_2^5 \(5/x+5 sqrt(x)\) text( ) dx = click here to preview your answer. int e^(-x/4) text( )dx = click here to preview your answer. int_3^4 \(5 e^(-x/5) - 4\) text( )dx = click here to preview your answer. int -7/sqrt(x) text( )dx = click here to preview your answer. int (5-x)/x^5 text( )dx = click here to preview your answer.

How do you find the distance of each number from the mean

Jobs and productivity! how do retail stores rate? one way to answer this question is to examine annual profits per employee. the following data give annual profits per employee (in units of 1 thousand dollars per employee) for companies in retail sales. assume σ ≈ 4.0 thousand dollars. 3.7 6.7 3.6 8.5 7.5 5.9 8.7 6.4 2.6 2.9 8.1 −1.9 11.9 8.2 6.4 4.7 5.5 4.8 3.0 4.3 −6.0 1.5 2.9 4.8 −1.7 9.4 5.5 5.8 4.7 6.2 15.0 4.1 3.7 5.1 4.2 (a) use a calculator or appropriate computer software to find x for the preceding data. (round your answer to two decimal places.) thousand dollars per employee (b) let us say that the preceding data are representative of the entire sector of retail sales companies. find an 80% confidence interval for μ, the average annual profit per employee for retail sales. (round your answers to two decimal places.) lower limit -- thousand dollars upper limit -- thousand dollars (c) let us say that you are the manager of a retail store with a large number of employees. suppose the annual profits are less than 3 thousand dollars per employee. do you think this might be low compared with other retail stores? explain by referring to the confidence interval you computed in part (b). yes. this confidence interval suggests that the profits per employee are less than those of other retail stores. no. this confidence interval suggests that the profits per employee do not differ from those of other retail stores. correct: your answer is correct. (d) suppose the annual profits are more than 6.5 thousand dollars per employee. as store manager, would you feel somewhat better? explain by referring to the confidence interval you computed in part (b). yes. this confidence interval suggests that the profits per employee are greater than those of other retail stores. no. this confidence interval suggests that the profits per employee do not differ from those of other retail stores. (e) find an 95% confidence interval for μ, the average annual profit per employee for retail sales. (round your answers to two decimal places.) lower limit 3.75 incorrect: your answer is incorrect. thousand dollars upper limit 6.41 incorrect: your answer is incorrect. thousand dollars

The length of time it takes to find a parking space at 9 a.m. follows a normal distribution with a mean of 5 minutes and a standard deviation of 2 minutes. find the probability that it takes at least 8 minutes to find a parking space. (round your answer to four decimal places.)