Benford's law states that in a very large variety of real-life data sets, the first digit approximately follows a particular dis
tribution with about a 30% chance of a 1, an 18% chance of a 2 and in general P(D=j)=log10(j+1/j), for j in {1,2,23,...,9}, where D is the first digit of a randomly chosen element. Check that this is a valid PMF (using properties f logs, not with a calculator).
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<u>Given</u>:
Given that the parallelogram with the lengths 5x, 3x + 1, 2y - 5 and y.
We need to determine the values of x and y.
<u>Values of x and y:</u>
We know the property that the opposite sides of a parallelogram are congruent.
Thus, we have;
------- (1)
------- (2)
The value of x and y can be determined using the substitution method.
Substituting equation (2) in equation (1), we have;
Thus, the value of x is 3.
Substituting x = 3 in equation (2), we have;
Thus, the value of y is 10.