Two prisms are similar with a scale factor of 1:4. Find the volume of the smaller prism given that the volume of the larger is 2
2 answers:
Answer: 37.5
Step-by-step explanation:
We are asked to find the volume of the smaller prism, and we know that the larger prism has a volume of 2400 cubic feet. We also know that the scale factor of the two prisms is 1:4. You may be tempted to set 1/4 equal to x/2400, but that is not what you should do. Remember that the volume ratio is , if the similarity ratio is a/b. Now, with this in mind, we know that the cube root of 2400 is 13.388659. Now, we can set 1/4 equal to x/13.388659. Solve for x by cross multiplying. 13.388659=4x. Divide both sides by 4. x=3.34716475. Then, we need to find the volume of the smaller prism, so we find the third power of x, or 3.34716475, which is approximately 37.5, which is your solution.
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Answer:
(a)
(b)
B. The sample is too small to make judgments about skewness or symmetry.
Step-by-step explanation:
Given:
Solving (a):
First, calculate the difference between the recorded TBBMC for both operators:
The last row which represents the difference between 1 and 2 is calculated using absolute values. So, no negative entry is recorded.
The mean is then calculated as:
Next, calculate the standard deviation (s).
This is calculated using:
So, we have
Solving (b):
Of the given options (A - E), option B is correct because the sample is actually too small