The average value of a function f(x, y) over a rectangle R is defined to be fave = 1 A(R) R f(x, y) dA. Find the average value of f over the given rectangle. f(x, y) = 4x2y, R has vertices (−5, 0), (−5, 4), (5, 4), (5, 0).

Acircle has a radius of 5/6 units and is centered at (3.6, 7.8) write the equation of this circle

Do one of the following, as appropriate: (a) find the critical value z subscript alpha divided by 2 , (b) find the critical value t subscript alpha divided by 2 . 99%; nequals 17; sigma is unknown; population appears to be normally distributed.

The cost varies directly with the number of tickets purchased. it costs $145 for 10 people to attend a concert. a. what is the constant of proportionality (k)? b. write the direct variation equation. c. home much does it cost for 8 people? d. graph this situation. be sure to label each axis and give the graph a title.