Let \(A\) denote the event that a building suffers structural damage from earthquake and \(B\) denote the event that a building suffers structural damage from wind. Given \(P(A) = 0.01\) and \(P(B) = 0.001\). Assume the two events are independent and that the building can be damaged only from these two events (the building is fireproof, waterproof, floodproof, corrosion proof etc), calculate the probability of structural damage?

In a coastal town, the humidity, measured in grams of water per kilogram of air, increases by 43% for every 1 degree celsius increase in temperature. a scientist observes that the humidity on monday morning is 5.75 grams per kilogram. he wants to know how much the temperature must increase for the humidity to reach at least 49.17 grams per kilogram. let t represent the increase in temperature, in degrees celsius, from monday morning's observation. write an inequality to represent the situation, and use it to determine the desired temperature increase.