identify the transformation that carries the figure onto itself.

a) rotate 540° clockwise about (5, 3) and reflect across the line y = 3
b) rotate 540° clockwise about (5, 3) and reflect across the line x = 3
eliminate
c) rotate 450° clockwise about (5, 3) and reflect across the line y = 3
d) rotate 450° clockwise about (5, 3) and reflect across the line x = 3

How does the graph of g(x)=⌊x⌋−3 differ from the graph of f(x)=⌊x⌋? the graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted right 3 units. the graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted up 3 units. the graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted down 3 units. the graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted left 3 units.

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.

Arectangle is 8cm longer then it is wide, and it’s area is 153cm^2. find the dimensions of the rectangle.