The sum of Ken's, k, and Alan's, a, ages is 61. Ken is 31 years older than Alan. Which of these systems of equations below best describe the ages of Ken and Alan?

There is a spinner with 14 equal areas, numbered 1 through 14. if the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 5?

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.

Solve the equation by completing the square. x^2+2x=17