Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 36 < x < 54.

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

What is 100,000 times 1/100,000, using the standard method of multiplication? write the answer as 10 to a power.

Find the measure of angle c in the following triangle.