The homecoming committee bought 500 plastic souvenir footballs to sell at the homecoming game to raise money for a local charity. The profit (in dollars), p, from the sale of s footballs can be represented by the following equation.

1. Since the homecoming committee bought only 500 footballs, they can sell no more than this. Represent this constraint with an inequality.

2. Is it possible for the profit to be exactly $1500? Show your work and justify your answer.

3. Is it possible for the profit to be at least $2400? Show your work and justify your answer.

The survey of study habits and attitudes (ssha) is a psychological test that measures the motivation, attitude toward school, and study habits of students, scores range from 0 to 200. the mean score for u.s. college students is about 115, and the standard deviation is about 30. a teacher who suspects that older students have better attitudes toward school gives the ssha to 55 students who are at least 30 years of age. the mean score is 113.2. assume the population standard deviation is 30 for older students what is the margin of error for a 95% confidence interval for the population mean score for a. older students? b. compute the 95% confidence interval for the population mean score for older students. c. compute the 99% confidence interval for the population mean score for older students. d. compute the 88% confidence interval for the population mean score for older students.