Which answer correctly describes the change in the standard deviation for the data set {3,4,6,7,8,20} when the outlier is not included in the calculation? The standard deviation is still 5.63, which means a graph of the values doesn't change without the outlier.

The standard deviation increases from 1.85 to 5.63, which means a graph of the values is more spread out without the outlier.

The standard deviation decreases from 8 to 5.6, which means a graph of the values is less spread out without the outlier.

The standard deviation decreases from 5.63 to 1.85, which means a graph of the values is less spread out without the outlier.

Louis wants to carpet the rectangular floor of his basement.the basement has an area of 864 square feet.the width of the basement is 2/3 it's length. what is the length of louis's basement

Karen will divide her garden into equal parts. she will plant corn in 8/12 of the garden. what is the lowest number of parts she can divide her garden into?

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)