Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 2525 cans of the soda drink. those volumes have a mean of 12.19 oz and a standard deviation of 0.140.14 oz, and they appear to be from a normally distributed population. if the workers want the filling process to work so that almost all cans have volumes between 11.9811.98 oz and 12.6212.62 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.160.16 oz. use the sample data to test the claim that the population of volumes has a standard deviation less than 0.160.16 oz. use a 0.010.01 significance

Hye ryung is the president of the local chapter of the american medical students association (amsa). she is organizing local outreach and informational meetings. at her first meeting there are five people present (including herself). every month after that her group grows by 5 people. a. how many members are in the group after 6 months? b. the logistics of hosting and feeding her group at meetings was more complicated than expected. the cost of feeding 5 people at her first meeting was $30, for 10 people it was $35, for 15 it was $45, and after 6 months all of the costs had added up to $100. write a function to model the cost with the number of people attending meetings. c. what connections can you make between the linear growth of the group’s membership and the increasing costs of running meetings?

Jude is making cement for a driveway. the instructions show the amount of each ingredient to make 1 batch of cement. complete each statement to adjust the ingredients for each new situation if jude uses these instructions.

Which function can be used to model the monthly profit for x trinkets produced? f(x) = –4(x – 50)(x – 250) f(x) = (x – 50)(x – 250) f(x) = 28(x + 50)(x + 250) f(x) = (x + 50)(x + 250)