What is the equation of the line, in point slope form, that passes through the given point, and has the given slope point: (8,-8); slope: 3 a. y-8=3(x+8) b. y+8=3(x+8) c. y-8=3(x-8) d. y+8=3(x-8)

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

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.

The radius of a sphere is 3 inches. which represents the volume of the sphere?