Jen is in charge of the set design for her high school's rendition of "Romeo and Juliet". One pint of paint covers 80 square feet. How many pints will she need to buy of each color if the roof and tower each need 3 coats of paint? Hint: The smallest size she can purchase is 1 pint.

Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=7^-x about the x-axis. (use symbolic notation and fractions where needed.) volume =

Hurry im being timed the graph of f(x)=x^3-3x^2+4 is shown based on the graph how many distinct real numbers solutions does the equation x^3-3x^2+4=0 have

The discrete random variables x and y take integer values with joint probability distribution given by f (x, y) = a(y−x+1) 0 ≤ x ≤ y ≤ 2 or =0 otherwise, where a is a constant. 1 tabulate the distribution and show that a = 0.1.2 find the marginal distributions of x and y. 3 calculate cov(x, y).4 state, giving a reason, whether x and y are independent. 5 calculate e(y|x = 1).