Justin has a home-based business putting on children's parties. he charges $30 to design the party and then $10.00 per child. write a function rule that relates the total cost of the party to the number of children n.

Acylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. what is the radius of the cone? a) 3 cm b) 5 cm c) 7 cm d) 9 cm

Larissa dives into a pool that is 8 feet deep. she touches the bottom of the pool with her hands 6 feet horizontally from the point at which she entered the water. what is the approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point? 36.9° 41.4° 48.6° 53.1°

Asurvey of eating habits showed that approximately 5 % of people in a certain city are vegans. vegans do not eat meat, poultry, fish, seafood, eggs, or milk. a restaurant in the city expects 350 people on opening night, and the chef is deciding on the menu. treat the patrons as a simple random sample from the city and the surrounding area, which has a population of about 600,000. if 20 vegan meals are available, what is the approximate probability that there will not be enough vegan meals long dash—that is, the probability that 21 or more vegans will come to the restaurant? assume the vegans are independent and there are no families of vegans.