Prove that the set x = [1, 2]u[3, 4] cr is not convex.
2.4 functions 41 (c) the intersection of two closed sets is closed (d) the cortacion product of two closed sets is closed (e) the intersection of two convex sets is convex (1) (from definitions 2.15, 2.16, and 2.17) a closed set contains its boundary points (g) the union and intersection of two bounded sets is bounded for e = 0.1 and € = 10, describe the e-neighborhoods: (a) ) (b) ,1) (c) ,1,-1) prove that the set

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.

(c) compare the results of parts (a) and (b). in general, how do you think the mode, median, and mean are affected when each data value in a set is multiplied by the same constant? multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c. multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of c. there is no distinct pattern when each data value is multiplied by the same constant. (d) suppose you have information about average heights of a random sample of airline passengers. the mode is 65 inches, the median is 72 inches, and the mean is 65 inches. to convert the data into centimeters, multiply each data value by 2.54. what are the values of the mode, median, and mean in centimeters? (enter your answers to two decimal places.) mode cm median cm mean cm in this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. consider the following data set 7, 7, 8, 11, 15. (a) compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = (b) multiply 3 to each of the data values. compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = --

The poll report includes a table titled, “americans using cash now versus five years ago, by age.” the age intervals are not equal. why do you think the gallup organization chose the age intervals of 23–34, 35–54, and 55+ to display these results?