2. to estimate the mean age for a population of 4000 employees, a simple random sample of 40 employees is selected. a. would you use the finite population correction factor in calculating the standard error of the mean? explain. b. if the population standard deviation is σ = 8.2 years, compute the standard error both with and without the finite population correction factor. c. what is the probability that the sample mean age of the employees will be within ±2 years of the population mean age?

One side of a rectangle is 7 feet shorter than seven times the other side. find the length of the shorter side if we also know that the perimeter of the rectangle is 306 feet.

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions

If sin(x) = 0 and cos(x) = 1, what is tan(x)?