6. Jayden does 2 sit-ups on the first day of the month, 4 the next day, 8 the
next day, and so on. If she continues with the pattern, how many total sit-
ups will she have done after 30 days?

I believe Jayden will have done 1,073,741,824 sit-ups after 30 days.

Step-by-step explanation:

Each day of the month Jayden does double the amount of sit-ups as before. The days would add to be 2, 4, 8, 16, 32, 64 134,217,728 for the 27th day, 268,435,456 for the 28th, and then skipping to the 30th day you would get a total of 1,073,741,824 sit-ups.

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