Macaws are tropical birds that can live a very long time. The box plots below show the life spans (in years) of a random sample of Macaws that lived in captivity and a random sample that lived in the wild.
Which pieces of information can be gathered from these box plots?
A. On average, life spans were longer for the Macaws in the wild.
B. The life spans for all of the Macaws in captivity were longer than all of those in the wild.
C. The life spans for the Macaws in the wild varied noticeably more than those in captivity.
D. none of the above

C. The life spans for the Macaws in the wild varied noticeably more than those in captivity.

Step-by-step explanation:

A box plot displays the minimum, first quartile, median, third quartile, and maximum points in a set of data. A vertical line represents the median. The actual box represents the interquartile range.

The boxplot shows the life span of birds in captivity vs birds in the wild.

The data shows that the life span for birds in captivity is longer than those in the wild (look at the location of the box, it corresponds to higher numbers in the captive birds than the wild birds). This means A cannot be correct.

B can also not be correct. This is because the data overlaps. You can see, for example, that the lines on the wild plot are very long, which indicates that there is a lot of variety in the data. The numbers overlap with some of the numbers in the captive birds, highlighting that the lifespans for all Macaws in captivity were not longer than all of those in the wild.

C is true, as you can see from the spread of the data in the wild sample (the length of the box and lines). This suggests that there are lots of different lifespans present, indicating that it is varied. This contrasts with the captivity birds.

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

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.