Asample is selected from a population with u=50. after a treatment is administered, we find x bar=55 and s squared=64. conduct a hypothesis test to evaluate the significance of the treatment effect if n=4. use a two tailed test with a=.05

Anew fountain in the shape of a hexagon will have 6 sides of equal length. on a scale drawing, the coordinates of the vertices of the fountain are: (7.5,5), (11.5,2), (7.5,−1), (2.5,−1), (−1.5,2), and (2.5,5). how long is each side of the fountain?

Aplane is taking off from bangladesh headed to new york city. at the same time, a plane from new york city is headed to bangladesh is also taking off. the plane bound to new york city is traveling at 600 mph, while the plane traveling to bangladesh is traveling at 400 mph. how far from new york city will the two planes meet if the distance between new york city and bangladesh is 8,000 miles?

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).