An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 364 watts with a standard deviation of 12. What is the probability that the mean amplifier output would differ from the population mean by more than 0.9 watts in a sample of 52 amplifiers if the claim is true? Round your answer to four decimal places.

6.3x+14 and 1.5x-6 answer in simplified form

The data shown in the table below represents the weight, in pounds, of a little girl, recorded each year on her birthday. age (in years) weight (in pounds) 2 32 6 47 7 51 4 40 5 43 3 38 8 60 1 23 part a: create a scatter plot to represent the data shown above. sketch the line of best fit. label at least three specific points on the graph that the line passes through. also include the correct labels on the x-axis and y-axis. part b: algebraically write the equation of the best fit line in slope-intercept form. include all of your calculations in your final answer. part c: use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.

Which is a reasonable estimate of the amount of water in a small, inflatable pool used by children?