If you roll a number cube 60 times and use the results to calculate the experimental probability of rolling a 1, the experimental probability of rolling a 1 will be less than the theoretical probability of rolling a 1. a. sometimesb. alwaysc. neverif a and b are independent events and p(a) and p(b) are both greater than , then p(a and b) is greater than 1.a. sometimesb. alwaysc. nevera copy center offers its customers two different pricing plans for black and white photocopies of 8.5 in. by 11 in. pages. customers can either pay $0.08 per page or pay $7.50 for a discount card that lowers the cost to $0.05 per page. write and solve an equation to find the number of photocopies for which the cost of each plan is the same. a. 08c = .05c+7.50 ; c = 250b. 08c = .05c-7.50 ; c = 250c. 05c = .08c+7.50 ; c = 22.5d. 7.50 = .08c+.05c ; c = 58

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

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answer:

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