Two objects are moving along separate linear paths where each path is described by position, d, and time, t. the variable d is measured in meters, and the variable t is measured in seconds. the equation describing the graph of the position of the first object with respect to time is d = 2.5t + 2.2. the graph of the position of the second object is a parallel line passing through (t = 0, d = 1). what is the equation of the second graph?

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.