An IT company plans to invest in a new game app for smart phones. Suppose there is a 20% chance that the company will lose $100,000, a 40% chance it will lose $75,000, and a 40% chance of a $250,000 profit. Based ONLY on this information, should the IT company invest in the app? A) The expected value is $50,000.00 -- the company should invest in the app. B) The expected value is $100,000.00 -- the company should invest in the app. The expected value is -$50,000 00 - the company should not invest in the app. The expected value is - $100,000.00 -- the company should not invest in the app

Design a number line containing five (5) points2.benin, one of the smallest countries in africa, has a total area of 43,475 square miles. the population of the country was recently estimated at 10,160,555. about 3,657,790 people live in rural areas. the country has only about 870 miles of surfaced roads. a. round off the total population to the nearest hundred thousand people. b. round off benin’s area in square miles to the nearest thousand. c. round off the number of miles of surfaced roads to the nearest ten. d. round off the number of people who live in rural areas to the nearest million.

Determine whether the set of whole numbers is closed under addition. explain why the set is or is not closed. give an example.

The first few steps in solving the quadratic equation 9x2 + 49x = 22 ? 5x by completing the square are shown. 9x2 + 49x = 22 ? 5x 9x2 + 54x = 22 9(x2 + 6x) = 22 which is the best step to do next to solve the equation by completing the square? 9(x2 + 6x + 3) = 25 9(x2 + 6x + 3) = 49 9(x2 + 6x + 9) = 31 9(x2 + 6x + 9) = 103