It is a widely held belief that a typical piece of printer paper with a thickness of 0.1 mm can go through at most 7 folds. when folding a piece of paper in half, the number of layers doubles with each fold, which also doubles the thickness. sylvia is testing this theory and employing a hydraulic press in order to ensure each fold is as tight as possible. if sylvia is successful in folding the paper completely, determine the thickness of her piece of printer paper after being folded in half 7 times a) 14.0 mm b)12.8 mm c)17.1 mm d) 10.5 mm

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages