Michael was asked to give examples of the identity property of addition and the identity property of multiplication. below are his answers.

identity property of addition: 8 + 1 = 8

identity property of multiplication: 8(0) = 0

what was michael’s mistake?

he should have added 0 to 8 and multiplied 1 by 8.
he should have 8 + 1 = 9.
he should have 8(0) = 8.
he should have distributed the 8.

the correct answer is b) histograms can be used to exhibit the shape of distributions. this is because histograms count the frequency of each possible answer, so one is able to see which results are more common and which are less common.

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.

x= cost per bracelet

number of bracelets * x + shipping charge = total cost

so

9x+9=72

the translated point is (5,2)