4) the intensity i of a sound (in watts per square meter) varies inversely with the square of the distance d (in meters) from the sound's source. at a distance of 2 meters from the stage, the intensity of the sound at a shostakovich opera is about 12 watts per square meter. what is the intensity of the sound, rounded to the nearest hundredth, you hear if you are sitting 15 meters from the stage?

Which of the functions graphed below has a removable discontinuity?

A. s.a.! similarity in right triangles, refer to the figure to complete this proportionc/a = a/? a.) cb.) hc.) rd.) s

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)