3. The width of a rectangle is 4 feet less than the length. The area is 12 ft. Find the dimensions of the rectangle.

Proving the congruent supplements theorem

Arandom sample of size n 64 is taken from a population with population proportion p 0.38 describe the sampling distribution of p. draw a graph of this probability distribution with its a. mean and standard deviation. b. what is the probability that the sample proportion is greater than 0.5? what is the probability that the sample proportion is less than 0.3? d. what is the probability that the sample proportion is between 0.35 and 0.45?

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.