Question 4 (essay worth 10 points) (09.04 mc) using the following equation, find the center and radius of the circle. you must show all work and calculations to receive credit. x2 − 4x + y2 + 8y = −4

1) a researcher is studying a population of bats in which 16% of the population has a certain trait. the researcher wants sampling distribution with a standard deviation that is less than 2%. which sample sizes could the researcher use? select all that apply : a)n=200 b) n=300 c) n=400 d) n=500 2) from a normal distribution population, a simple random sample of size 38 is taken. the mean of the sample is 82 and the standard deviation of the sample is 4. what is the 90% confidence interval for the population mean? round to the nearest tenth ( [1], 83.1)