The board of directors of a company knows that the probability that carbon emissions from the company’s factory exceed the permissible level is 35%. they hire a consultant who uses a carbon footprint calculator to test the emissions level. the accuracy of the test is 85%. the probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is .

Lian is deciding which of two gyms to join. each gym charges a monthly rate plus a one-time membership fee. lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. in her work, she substituted an expression for one variable and solved for the other. this resulted in the equation 75 = 75. what can lian conclude? one gym charges $75 per month. each gym charges $75 per month both gyms charge the same monthly rate and the same membership fee. both gyms charge the same monthly rate, but not the same membership fee.