In the USA today internet poll 73 percent of readers indicated that they were satisfied with their lives.
1 answer:
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Problem 2
Part (a)
The 3D shape formed when rotating around the y axis forms a pencil tip
The shape formed when rotating around the x axis is a truncated cone turned on its side.
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Part (b)
Check out the two diagrams below.
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Problem 3
Answer: Choice A and Choice C
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Explanation:
Think of stacks of coins. Let's say we had 2 stacks of 10 quarters each. The quarters are identical, so they must produce identical volumes. Those sub-volumes then add up to the same volume for each stack. Now imagine one stack is perfectly aligned and the other stack is a bit crooked. Has the volume changed for the crooked stack? No, it hasn't. We're still dealing with the same amount of coins and they yield the same volume.
For more information, check out Cavalieri's Principle.
With all that in mind, this leads us to choice C. If the bases are the same, and so are the heights, then we must be dealing with the same volumes.
On the other hand, if one base is wider (while the heights are still equal) then the wider based block is going to have more volume. This leads us to choice A.
Answer:
Dot plot, because a small number of scores are reported individually.
Step-by-step explanation:
Histogram is usually used when a group of data to be represented is usually large and given in ranges or intervals.
However, for a data set, such as the scores of the group of 12 students who participated in a dance competition are reported individually, and not as ranges or intervals, a dot plot would best for representing this small number of scores.
See attachment below to see how we can easily represent the given scores of the students on a dot plot. Each dot represents a score value for each student.
