The dot plot below shows the number of books 26 students read in a month: Is the median or the mean a better center for this dat
a and why?
A.Mean; because the data is skewed and there are outliers
B.Mean; because the data is symmetric and there are outliers
C.Median; because the data is skewed and there are outliers
D.Median; because the data is symmetric and there are outliers
A.Mean; because the data is skewed and there are outliers
B.Mean; because the data is symmetric and there are outliers
C.Median; because the data is skewed and there are outliers
D.Median; because the data is symmetric and there are outliers
1 answer:
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Answer:
A
Step-by-step explanation:
The base of a solid in the region enclosed by the graphs of <em>y</em> = eˣ, <em>y</em> = 0, <em>x </em>= 0, and <em>x</em> = 1. Each cross-section perpendicular to the <em>x</em>-axis is an equilateral triangle. We want to find the volume of the solid.
Please refer to the graph below. We are concerned with the red region.
In order to find the volume, we essentially sum up the area of the figure at each <em>x</em> value. So, we integrate from <em>x </em> = 0 to <em>x </em>= 1.
The area for an equilateral triangle is given by:
Where <em>s</em> is the side length of the triangle.
Since the triangle lies perpendicular on the region, the side length of the triangle at <em>x</em> is simply <em>y</em>, which is eˣ.
Therefore, our volume is:
Substitute:
Evaluate the integral. Simplify:
Integrate using u-substitution:
Evaluate:
Therefore, the volume of the solid is:
Our answer is A.
Answer:
36y² - 1
Factorize
We have the final answer as
Hope this helps you