Lockers numbered 1 to 100 stand in a row. A student stops by and opens all the lockers. Asecond student then comes by and closes all the even numbered lockers. A third student thencomes along and changes the state of all the lockers which are multiples of 3. This processcontinues until all 100 students have been through. Which lockers are now open?

Arandom sample of 240 park users were asked if they go to the park more often on weekdays or on the weekend. the results are shown in the table. weekdays weekend male 50 10 female 150 30 based on the data in the table, select correct or incorrect for each statement. correct incorrect the males go to the park more often on the weekend. the females go to the park more often on weekdays. for the participants in the survey, gender affects which days of the week a person goes to the park.

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?

An elevator travels 310 feet in 10 seconds. at that speed, how far can't his elevator travel in 12 seconds?