1. Solve for x. x + 9 = 21
2. Solve for c.

c + 7 = 14
3. Solve for a.

3 + a = 6

4. -4a = -36

5. Three times a number is 36. What is the number?

6. The attendance at the Jazz Festival decreased by 74 people for the last 3 years. How many fewer people attended the festival this year than 3 years ago?

7. Carlos rode the elevator up 4 floors, then down 2 floors. He then rode down 5 more floors and got off on the first floor. Where was Carlos when he began his elevator ride?

8. A box contains 4 white crayons, 3 red crayons, 3 blue crayons, and 2 purple crayons. You pick a crayon at random, and then draw a second crayon without replacing the first. What is the probability of picking a white crayon, then a red crayon?

9. A jar contains 2 green, 3 white, and 5 black balls. The balls are selected at random, one at a time, and not replaced. What is the probability of selecting a white, then a green?

10. The ratio of crayons to pencils is 4 to 9. If there are 45 pencils, how many crayons are there?

11. Mary purchased a sweater for $35.80. Tax was 8.5%. What is the total cost of the sweater?

12. Convert the following decimal to a percent and fraction.

0.18

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.