The gray area represents the portion of \(\displaystyle B\) that is not in \(\displaystyle A\) - in other words, all multiples of 9 that are not also multiples of 6.

\(\displaystyle 4,572 \div 6 = 762\) 

\(\displaystyle 3,438 \div 6 = 573\) 

\(\displaystyle 8,544 \div 6 =1,424\) 

Therefore, 4,572, 3,438, and 8,544 can be eliminated.

\(\displaystyle 9,349 \div 9 = 1,038 \;R\; 7\), so 9,349 can be eliminated because it isn't a multiple of 9.

\(\displaystyle 4,077 \div 6 = 679 \; R \; 3\) and \(\displaystyle 4,077 \div 9 = 453\), so, as both a nonmultiple of 6 and a multiple of 9, 4.077 is the correct choice.

If the two events in a problem are independent, they cannot occur at the same time.  That means their circle will not intersect and they will not have a shared middle section.

To find the range of a set of data, simply subtract the smallest total from the largest total.  The left side of a stem-and-leaf plot represents the ten's digit, and the right side represents the one's digit. The largest value here is 47.  The smallest value is 0. 

\(\displaystyle \dpi{100} 47-0=47\)

First order the numbers from least to greatest:

\(\displaystyle 3117, 4520, 6960, 7325, 8321, 8732, 9031\)

Then find the difference of the greatest and the smallest number:

\(\displaystyle 9031-3117=5914\)

Answer: The range is 5914.

First, order the numbers in the set from least to greatest:

\(\displaystyle 6059, 6509, 6609, 6905, 6906, 6950, 6960\)

Then, find the difference between the largest and the smallest number:

\(\displaystyle 6960-6059=901\)

Answer: The range is 901.

First, order the numbers from least to greatest:

\(\displaystyle 299, 344, 398, 411, 640, 782\)

Then, find the difference between the largest and smallest number:

\(\displaystyle 782-299=483\)

Answer: The range is 483.

First, order the numbers from least to greatest:

\(\displaystyle 9198, 9818, 9881, 9889, 9889, 9891, 9918, 9981, 9989\)

Then, find the difference of the largest and smallest number:

\(\displaystyle 9989-9198=791\)

Answer: The range is 791.

First, order the numbers from least to greatest:

\(\displaystyle 3334, 3343, 3343, 3434, 4334, 4343, 4434\)

Then, find the difference between the largest and the smallest number:

\(\displaystyle 4434-3334=1100\)

Answer: The range is 1100.

First, order the numbers from least to greatest:

\(\displaystyle 6333,6336,6363,6366,6366,6633,6669\)

Then, identify the mode (most recurring number): 6366

Then, identify the range (subtract the smallest number from the largest):

\(\displaystyle 6669-6333=336\)

Finally, subtract the range from the mode:

\(\displaystyle 6366-336=6030\)

Answer: 330

First, order the numbers from least to greatest:

\(\displaystyle 6333, 6336,6363,6363, 6366, 6633, 6663\)

Then, find the difference of the largest and the smallest numbers:

\(\displaystyle 6663-6333=330\)

Answer: The range is 330.