The volume of a cube is given by V = x3 , where x is the length of an edge of the cube. The area of a square is given by A = x2 , where x is the length of a side of the square. A given cube has a volume of 1728 cubic inches. **Explain how the information given can be used to calculate the surface area of the cube.** Use specific details and domain specific vocabulary to construct a coherent response.

Arandom sample of 15 observations is used to estimate the population mean. the sample mean and the standard deviation are calculated as 172 and 63, respectively. assume that the population is normally distributed. a. with 99 confidence, what is the margin of error for the estimation of the population mean? b. construct the 99% confidence interval for the population mean. c. construct the 95% confidence interval for the population mean. d. construct the 83% confidence interval for the population mean. hint: you need to use excel function =t.inv.2t to find the value of t for the interval calculation.