There are three dials on a combination lock. Each dial can be set to one of the numbers 1,2,3,4,5. The three digit number 553 is one way the dials can be set , as shown in the diagram. (a) Work out the number of the different three digit numbers that can be set for the combination lock. (b) How many of the possible three digit numbers have three different digits.

Over the course of the school year, you keep track of how much snow falls on a given day and whether it was a snow day. your data indicates that of twenty-one days with less than three inches of snow, five were snow days, while of the eight days with more than three inches of snow, six were snow days. if all you know about a day is that it is snowing, what is the probability that it will be a snow day?

If a line is defined by the equation y = 5x + 2, what is the slope?

What is the radius of the cone in the diagram? round your answer to the nearest whole number