Which statement about the simplified binomial expansion of (a + b)n, where n is a positive integer, is true? the value of the binomial coefficient nc0 is n – 1 for all values of n. the values of nc1 and ncn–1 are equal to 1. the values of nc0 and ncn are equal to 1. the value of the binomial coefficient nc1 is n – 1 for all values of n.

b

step-by-step explanation:

the word superfluous means unnecessary

x= cost per bracelet

number of bracelets * x + shipping charge = total cost

so

9x+9=72

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