A fair die is rolled 6 times. What is the probability that a 5 comes up at least once? Write your answer as a decimal rounded to 3 decimal places. (Hint: think about how likely it is to roll a 5 and to not roll a 5 on a die)

If 25% of y is 30, what is 60% of y?

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?

Which inequality has a dashed boundary line when graphed ?