debe tomar 4 fotos de una carrera. Cada vez que un corredor pasa a su lado, hay un 50% de probabilidad de que tome una foto de ese corredor. Además, para dos corredores cualesquiera, la probabilidad de que tome una foto de uno es independiente del otro. Una vez que obtenga 4 fotos, abandonará las instalaciones de la carrera y no intentará tomar más fotos. Si eres el sexto corredor en pasar al fotógrafo, entonces la probabilidad de que te tome una foto puede expresarse en la forma M / NM / N, donde MM y NN son números enteros positivos relativamente primos (es decir, su máximo común divisor es 1 ). Calcule M + NM + N.

Atheater wants to build movable steps that they can use to go on and off the stage. they want the steps to have enough space inside so they can also be used to store props. how much space is inside the steps?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

In a column proof the right column states your reasons