You are analyzing survey results regarding whether or not people like low-cal buter or regular butter. 47 said they preferred low-cal and 59 said they preferred regular. What is the ratio of those who prefer the low-cal to those who prefer the regular?

20 points! asap! a is known to be 6,500 feet above sea level; ab = 600 feet. the angle at a looking up at p is 20°. the angle at b looking up at p is 35°. how far above sea level is the peak p? find the height of the mountain peak to the nearest foot. height above sea level =

What is the value of x in the diagram below?

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.