Carl has 9 1/2 cups of juice for a party. If each party goer gets exactly 3/5 cup of juice each, how many party goers will get t
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Answer:
The mode is 9 letters: True
The median is 7.5 letters: True
The mean is 7 letters: False
The graph is skewed right with an outlier of 2: False
Step-by-step explanation:
1) The mode is 9 letters. (True)
The mode is the value that shows up the most. 9 letters shows up the most as the length of a child's last name.
2) The median is 7.5 letters. (True)
The median is one of the middle points of a data set. This can be found by writing out all of the results from least to greatest, and crossing out each number starting from the ends.
2, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9
Once you meet in the middle, you should be left with 7 and 8. In this case, we find the mean of the two numbers, which is 7.5. (In cases where the data set has an odd amount - if there were 13 children instead of 12), you'd just use the middle piece of data.
3) The mean is 7 letters. (False)
The mean is also a middle point of a data set. However, this one is different. The mean can be found by adding up all of the numbers in the data set () and then dividing that number by the amount of numbers are in the data set. Setting this up as an expression would look like:
. By plugging this into a calculator you'd get 7.25 instead of just 7.
4) The graph is skewed right with an outlier of 2.
Although the outlier of 2 part of the statement is correct, the graph is not skewed right; it is skewed left.
Answer:
35.6 yd²
Step-by-step explanation:
Area of ∆UVW can be solved if we know the lengths of 2 sides and their included angle.
We are Given just 1 side, UV (w). Use the law of sines to find UW (v).
Thus:
W = 137°
w = 19 yd
V = 180 - (137 + 22) = 21° => sum of triangle
v = ??
Plug in the values and solve for v
Multiply both sides by sin(21)
(approximated)
Find area of ∆UVW:
Area = ½*UV*UW*sin(U)
Area = ½*v*w*sin(U)
= ½*10*19*sin(22)
Area = 35.6 yd² (to nearest tenth)