Natalie has three pairs of pants (tan, black, and blue) and five shirts (white, black, blue, green, and red). each morning, she randomly selects one pair of pants and then one shirt. the following tree diagram represents the sample space for this compound event. outcomes may be listed using an ordered pair. for example, tan pants and a red shirt can be listed as (tan, red).

a. how many total outcomes are in the sample space?
b. list the favorable outcomes for natalie selecting a pair of pants and shirt that are the same color.
c. list the favorable outcomes for natalie selecting a black shirt.
d. list the favorable outcomes for natalie selecting at least one blue article of clothing.

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution

Aadc is formed by reflecting aabc across line segment ac, as shown in the figure. if the length of ac is 4 units, the area of aadc is square units.

Savannah had 40 iris blooms last year this year she had 15% more iris blooms how many more hours blooms did savannah have this year