The amount of potato chips an 18-ounce bag contains follows a normal distribution with a mean of 18.5 ounces and a standard deviation of 0.2 ounces. 100 bags of chips were randomly selected. What is the probability that the sample mean weight of these 100 bags is less than 18.6 ounces

Muscles, a membership-only gym is hoping to open a new branch in a small city in pennsylvania that currently has no fitness centers. according to their research approximately 12,600 residents live within driving distance of the gym. muscles sends out surveys to a sample of 300 randomly selected residents in this area (all of who respond) and finds that 40 residents say they would visit a gym if one was located in their area. based on the past survey research, muscles estimates that approximately 30% of these respondents would actually join the gym if they opened one in the area. based on this information and the results of the sample survey, about how many residents should muscles expect to join its new branch? a) 134 b) 504 c) 1,680 d) 3,780

Is it true that product of 3 consecutive natural numbers is always divisible by 6? justifyyour answer

If g(x) is an odd function, which function must be an even function?