Answer: The answer is (D)
Step-by-step explanation: Given that there is a rectangle, where length of the rectangle is given by
and width of the rectangle is given by
We are to find the perimeter of the rectangle. To do so, we need to add two times length with two times breadth of the rectangle.
Therefore, perimeter is given by
Thus, the correct option is (D).
According to Sturge's rule, number of classes or bins recommended to construct a frequency distribution is k ≈ 7
Sturge's Rule: There are no hard and fast guidelines for the size of a class interval or bin when building a frequency distribution table. However, Sturge's rule offers advice on how many intervals one can make if one is genuinely unable to choose a class width. Sturge's rule advises that the class interval number be for a set of n observations.
Given,
n = 66
We know that,
According to Sturge's rule, the optimal number of class intervals can be determined by using the equation:
Here, n is equal to 66 and by substituting the value to the equation we get:
k = 7.0444
k ≈ 7
Learn more about Sturge's rule here: brainly.com/question/28184369
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The two curves intersect at two points, (0, 0) and (8, 8):
The area of a semicircle with diameter is
. The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of
between 0 and 8. Over this interval,
and
, so the volume of this solid is given by the integral