In hamilton county ohio the mean number of days needed to sell a home is 86 days (cincinnati multiple listing service, april, 2012). data for the sale of 40 homes in a nearby county showed a sample mean of 80 days with a sample standard deviation of 20 days. conduct a hypotheses test to determine whether the mean number of days until a home is sold is different than the hamilton county mean of 86 days in the nearby county. round your answer to four decimal places.

Which of the following equations is of the parabola whose vertex is at (2, 3), axis of symmetry parallel to the y-axis and p = 4? a.)y-3 = 1/16 (x-2)^2 b.)y+3 = -1/16 (x+2)^2 c.)x-2 = 1/16 (y-3)^2

Which one ? is the answer and how to find this answer

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)