Captain Renner is sailing the ocean, and his ship is low on supplies. He needs to reach land and restock before his crew mutinies and throws him overboard.

Looking at his map, Captain Renner estimates his ship's location and marks it with an X (shown below).

Assuming his ship is just as fast sailing in any direction, to which island should Captain Renner command his helmsman to sail?

a) island A

b) island B

c) island C

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe

Hundred and tens tables to make 430 in five different ways

Arandom sample of n = 25 observations is taken from a n(µ, σ ) population. a 95% confidence interval for µ was calculated to be (42.16, 57.84). the researcher feels that this interval is too wide. you want to reduce the interval to a width at most 12 units. a) for a confidence level of 95%, calculate the smallest sample size needed. b) for a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.