Mark is going to an awards dinner and wants to dress appropriately. He has one blue dress shirt, one white dress shirt, one black dress shirt, one
pair of black slacks, one pair of grey slacks, and one red tie. All six of
Mark's possible outfits are listed below.
If we take outfits 1,2,5, and 6 as a subset of the sample space, which
of the statements below describe this subset?
Choose all answers that apply:
~The subset consists of all the outfits that do not have a white shirt.
~The subset consists of all the outfits that have either a blue shirt or a black
~The subset consists of all the outfits that have a black shirt.
~The subset consists of all the outfits that have a white shirt.

need more than 1 answer

The subset consists of all the outfits that have a white and black shirt.

gregory's graph is incorrect because it shows 2 inches of growth for each week when it should show 0.75 inches of growth each week.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}