Two different antibiotics can be used to treat an infection. treatment with antibiotic 1 is known to be successful 80% of the time. this treatment costs $80. antibiotic 2 is successful 90% of the time and costs $100. the two treatment plans are: plan a: treat with antibiotic 1. if not effective, treat with antibiotic 2. plan b: treat with antibiotic 2. if not effective, treat with antibiotic 1. based on the data provided, what is the probability that a patient treated under plan a will be successfully treated?
a. 0.98
b. 0.72
c. 0.80
d. 0.90

[15 points]find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible

Solve this riddle: i am an odd number. i an less than 100. the some of my digit is 12. i am a multiple of 15. what number am i?

Arandom sample of 15 observations is used to estimate the population mean. the sample mean and the standard deviation are calculated as 172 and 63, respectively. assume that the population is normally distributed. a. with 99 confidence, what is the margin of error for the estimation of the population mean? b. construct the 99% confidence interval for the population mean. c. construct the 95% confidence interval for the population mean. d. construct the 83% confidence interval for the population mean. hint: you need to use excel function =t.inv.2t to find the value of t for the interval calculation.