Una sustancia es retirada de un horno y llevada a un área de enfriamiento que mantiene una temperatura estable de 43°C, a los 15 y 30 minutos después de haberse iniciado el enfriamiento se realizaron dos registros de temperatura, que arrojaron como resultado 285°C y 252 °C, respectivamente. Determinar: a) La temperatura inicial de la sustancia. b) En que instante la temperatura del cuerpo es de 80 °C.

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)