Anormal die (numbered 1-6) is fair if each outcome is equally likely. therefore a 1, should come up of the time. if a fair die is rolled 360 times we would expect a 1 to come up 60 times since (1/6*360=60) if x represents the number of times "1" is rolled then\left | (x-60)/\sqrt{50} \right | < 1.95 gives reasonable range for the number of times a "1" will come up in 360 rolles. if we roll the dice 360 times and get "1" 30 times, is our die a fair die? show all work

How can the correlation in the scatter plot graph below best be described? positive correlation negative correlation both positive and negative no correlation

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?

If the tip varies directly with the number of guest which equation represents between the tip,t, and the number of guest,g?