Given the following probability function for N: fN(n)={0.16 for n=0,0.42 for n=11,0.22 for n=35,0.08 for n=43, and 0.12 for n=54}.
What is the expected value of N? Give your answer as a decimal.

For what value of x does 4x = (1/8) x + 5?

1- 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.2- 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 the first question?

Acompany charges $0.10 for each letter engraved. bobby plans to spend no more than $5.00 on the engraving on a jewelry box. write and solve an inequality to find the maximum number of letters he can have engraved.