In order to determine the best fit undergraduate program, a high school senior researches the majors offered at the universities he is considering for admissions. the internet search reports that arizona state university lists nine of their most popular majors and the percent of student population enrolled in the programs. popular majors percent of student body biology 8% business marketing 20% communications/journalism 6% education 5% engineering 7% interdisciplinary studies 6% psychology 6% social sciences 10% visual and performing arts 8% the university’s enrollment is expected to reach at least 20,000 students for the fall semester. the minimum number of students who are expected to be working towards a social sciences degree is the university requires that any student who is studying visual and performing arts or communications/journalism must perform in one of the student productions before graduation. at least of the 20,000 students will be performing in the university’s student productions before graduation. in the fall semester, % of the student population will be enrolled in a degree program not listed as one of the university’s most popular. the most popular degree offered at arizona state university is for the fall semester, the university should expect that students will enroll in one of the two most popular degree programs.

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b? 1. define a variable for the situation. 2. write an inequality that represents the situation. 3.solve the inequality to find out how many months he needs to keep the website for site a to be less expensive than site b. 4. using words, describe how many months he needs to keep the website for site a to be less expensive than site b.

In january 2010, you began a one-year study of tuberculosis (tb) in a subsidized housing community in the lower east side of new york city. you enrolled 500 residents in your study and checked on their tb status on a monthly basis. at the start of your study on january 1st, you screened all 500 residents. upon screening, you found that 30 of the healthy residents had been vaccinated for tb and therefore were not at risk. another 20 residents already had existing cases of tb on january 1st. on february 1st, 5 residents developed tb. on april 1st, 10 more residents developed tb. on june 1st, 10 healthy residents moved away from new york city and were lost to follow-up. on july 1st, 10 of the residents who had existing tb on january 1st died from their disease. the study ended on december 31, 2010. assume that once a person gets tb, they have it for the duration of the study, and assume that all remaining residents stayed healthy and were not lost to follow-up. is the subsidized housing community in the lower east side of new york city a dynamic or fixed population? briefly explain the rationale for your answer. dynamic population it can changeable people can move out and move in into the population of a subsidized housing what was the prevalence of tb in the screened community on january 1st? prevalence = 30/500 0.06= 6% what was the prevalence of tb on june 30th? prevalence= 40/450=0.08= 8.88% what was the cumulative incidence of tb over the year? cumulative incidence = number of new cases/number in candidate population)over specified time period 10/450 = 2.2% suppose that you wanted to calculate the incidence rate of tb in the study population. calculate the amount of person-time that would go in the denominator of this incidence rate. be sure to show your work.

Twice the sum of a number and 2 is equal to three times the difference of the number and 8. find the number.