You write 4 different names on index cards. you shuffle the cards and then lay them out in a row. what is probability that they will come out in alphabetical order? express your answer as a fraction in simplest form. 1/256 1/24 1/4 1/6

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

Which of the following can be used to explain a statement in a geometric proof?

Arepresentative from plan 1 wants to use the graph below to sell health plans for his company how might the graph be redrawn to emphasize the difference between the cost per doctor visit for each of the three plans?