A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 448 gram setting. It is believed that the machine is underfilling or overfilling the bags. A 33 bag sample had a mean of 446 grams with a variance of 784. Assume the population is normally distributed. A level of significance of 0.01 will be used. Specify the type of hypothesis test.

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

Y=(x+3)(x-4)(x+1)^2 sulutions? multiplicity?

Select the conic section that represents the equation. 3x2 + 3y2 -2x + 4 = 0