Practice Plus Use the graphs off and g to solve Exercises 81-88. Y y = f(x) 12 = g (x) 81. Find (f + g)(-3). 83. Find (fg)(2). 85. Find the domain off + g. 87. Graph f + g. 82. Find (g - f)(-2). 84. Find ( g 1(3). 86. Find the domain of I g 88. Graph f - g.

The complement of an angle is one-sixth the measure of the supplement of the angle. what is the measure of the complement angle?

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.)

Study results indicate that the mean length of time people spend on a bus in a city is between 21.2 min and 24.5 min what is the study margin of the error?