A machinist is required to manufacture a circular metal disk with area 500 cm2. (a) What radius produces such a disk? (Round your answer to four decimal places.) 12.6188 cm (b) If the machinist is allowed an error tolerance of ±4 cm2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? (Round your answers to four decimal places.) 12.5683 cm < r < 12.6692 cm (c) In terms of the ε, δ definition of lim x→a f(x) = L, what is x? area target radius radius target area tolerance in the area What is f(x)? area target radius radius target area tolerance in the area What is a? area target radius radius target area tolerance in the area What is L? area target radius radius target area tolerance in the area What value of ε is given? cm2 What is the corresponding value of δ? (Round your answer to four decimal places.) cm

(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 = --