The sum of two numbers is negative. The product of these two same numbers is also negative. What can you conclude about these two numbers? Be as specific as you can. Give an example of two numbers that meet these requirements.

5 and -8

Step-by-step explanation:

One number must be negative since the product of the 2 number is negative (5 x -8 = -40). They both cannot be negative, if they were the product would then be positive. The negative number must have a absolute value that is larger than the positive, the negative numbers distance from 0 must be larger than the positive, -8 has a distance of 8 and 5 has a distance of 5. The sum of the two numbers is

=5 + (-8)

=5 - 8  

= -3

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560