The actual income for this month has been reduced by $200. how can this budget be modified so there will be a positive actual net income? monthly budget budgeted amount actual amount income wages $1250 $1050 expenses rent utilities food clothes cell phone $450 $150 $220 $200 $75 $ $ $ $ $ net income $155 $ a. this budget can be modified by increasing the amount spent on food and utilities and decreasing the amount spent on clothes and rent, thereby maintaining a positive actual net income. b. this budget can be modified by reducing the amount spent on rent and utilities, thereby reducing overall expenses to have the maximum amount of money for all other expenses. c. this budget can be modified by reducing the amount spent on food and clothes, thereby reducing overall expenses to have the maximum amount of money for fixed expenses and maintaining a positive actual net income. d. this budget cannot be modified.

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.)