A researcher randomly surveyed 1,477 farmers to determine the geographical region in which they farm and the types of crops that grow there. The two-way table displays the data.

Suppose a farmer from this survey is chosen at random. Let M = farmer lives in the Midwest and V = farmer grows vegetables. What is the value of P(V|M)?

A) 251/72
B) 168/437
C) 723/1477
D) 251/365

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

The square root of 9x plus 7 plus the square rot of 2x equall to 7

Seymour is twice as old as cassandra. if 16 is added to cassandra’s age and 16 is subtracted from seymour’s age, their ages become equal. what are their present ages? show !