Ms. Rodriguez purchased markers to use on her class whiteboard. She bought a total of 16 markers and three times as many blue markers as red markers. Set up the two equations that can be used to find the number of markers of each color that Ms. Rodriguez purchased.

Let constraint 1 refer to the equation that represents the total number of markers.
Let constraint 2 refer to the equation that describes the ratio of the number of blue markers to red markers.
Only constraint would be met if Ms. Rodriguez purchased 3 red markers and 9 blue markers.

Only constraint would be met if Ms. Rodriguez purchased 6 red markers and 10 blue markers.

In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. consider the data set 14, 6, 8, 15, 15. (a) use the defining formula, the computation formula, or a calculator to compute s. (round your answer to one decimal place.) s = 4.28 (b) multiply each data value by 3 to obtain the new data set 42, 18, 24, 45, 45. compute s. (round your answer to one decimal place.) s = 12.83 (c) compare the results of parts (a) and (b). in general, how does the standard deviation change if each data value is multiplied by a constant c? multiplying each data value by the same constant c results in the standard deviation remaining the same. multiplying each data value by the same constant c results in the standard deviation being |c| times as large. multiplying each data value by the same constant c results in the standard deviation increasing by c units. multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. (d) you recorded the weekly distances you bicycled in miles and computed the standard deviation to be s = 3.8 miles. your friend wants to know the standard deviation in kilometers. do you need to redo all the calculations? yes no given 1 mile ≠1.6 kilometers, what is the standard deviation in kilometers? (enter your answer to two decimal places.)