Suppose you want to approximate Z b a Z d c f(x, y)dydx by rectangles sampled from either upper-left, upper-right, lower-left, or lower-right corners. If you are told that fx(x, y) < 0 at all points (x, y), what does that tell you about which approximations are larger than which

30 points! i am confused. what does it mean by game time? you can use a table of random numbers or a random number generator to create random samples. also, you can obtain random samples directly using wolframalpha.com. for example, typing in randomsample[{1,2,3,4,5},2] will give you a sample of size 2 from the list {1,2,3,4,5}. a sample result is {1,5}. refreshing the page will generate a new random sample of size 2. 2. create five random samples of size two from the population. record the game times for the samples and calculate the mean game time of each sample. 3. create 5 random samples of size 11 from the population. record the game times for the samples and calculate the mean game time of each sample.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

What is 100,000 times 1/100,000, using the standard method of multiplication? write the answer as 10 to a power.