Mr. Patel asked five of his students to line up by height. Juan is not the shortest and is not standing next to Pamela. Tad is the tallest and is not standing next to Juan. Marco is taller than Pamela and Caroline is next to Tad. Who is standing in the middle?

Juan is in the middle

Explanation:

Given:

Five students in total

_  _  _  _  _

Juan is not the shortest. So, Juan can be in 2nd, 3rd, 4th or 5th position.

_  J  J  J  J

Tad is the tallest and not standing next to Juan, So,

_  J  J  _  T

Caroline is next to Tad. So,

_  J  J  C  T

Juan is not standing next to Pamela. So,

P  _  J  C  T

Marco is taller than Pamela. So,

P  M  J  C  T

The height is arranged in increasing order from Pamela to Tad.

Thus, from the series we can see that Juan is in the middle.

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