Which of the following is an example of independent events? a) selecting a bead from a bag of 9 different colored beads and then selecting a second bead without putting the first back. b) spinning a 3 on a spinner and getting a head from a coin toss. c) drawing a king from a standard deck of cards and then drawing an 8 without replacing the king. d )four people are drawn successively without replacement from a group of 30 to represent the group.

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.