1.) explain how u can use absolute value to tell whether the sum of two integers is positive or negative?

The absolute value is always equal to the module (or positive value) of a number:

IxI = x if x>0

IxI = -x if x < 0

suppose you have an addition of two numbers of the same sign:

If both numbers are positive, the sum will be positive, if both numbers are negative, the sum will be negative, but now let's see the case where the sign of the numbers is different:

Here, you can apply the absolute value to both numbers, and the sign of the addition will be the same sign of the number associated with the biggest absolute value.

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