7. Let A = {0, 1, {0,1}}. Give an example of a partition S of the power set P(A) such that SI = 3.
1 answer:
Answer:
Step-by-step explanation:
The power set P(A) is the set made of ALL subsets of A. In this case it will be a set of 8 elements:
(Notice A has 3 elements on it, and P(A) is made of all subsets of it, we first listed those subsets of A with 0 elements (the empty set only), then we listed those with 1 element, then those with 2 elements, and finally those with 3 elements (which is the set A itself) )
A partition of P(A) is distributing all the elements of P(A) into nonempty disjoint sets. Think of it as simply distributing the elements of P(A) into different groups. In our case we want the partition to have 3 elements, so we want to distribute the 8 elements of P(A) into 3 groups. On the first group we just put the empty set, on the second group we put the elements of P(A) made of 1 single element, and on the third group we put the remaining 4 elements of P(A).
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Using the linear regression equation, the concentration of the unknown solution is 0.2161 M.
Linear regression describes the relationship of two variables. It may not be exact but it is the line that best fit the data. The equation for a linear regression is in the form y = bx + a, where x and y are the two variables.
If the absorbance of an unknown was determined to be 0.67 absorbance units, using the linear regression equation provided from the plot, substitute the value of absorbance to the variable y and solve for the value of x or the concentration.
y = 3.8674x - 0.1657
0.67 = 3.8674x - 0.1657
3.8674x = 0.67 + 0.1657
3.8674x = 0.8357
x = 0.2161
Hence, the concentration is 0.2161 M.
Learn more about linear regression here: brainly.com/question/25311696
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