12. assume that a sample is used to estimate a population mean. use the given confidence level and sample data to find the margin of error. assume that the sample is a simple random sample and the population has a normal distribution. round your answer to one more decimal place then the sample standard deviation.
95% confidence; n=21; x=0.16; s=0.16
i know the answer is 0.073, explain how to get there.

Find two rational expressions that have the difference of 2-n/n-4

Prove that 3: 8 is equivalent to 12: 32.a. use diagrams to support your answer.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)