For the fiscal year 2007, a tax authority audited - id200715512106174 от kaylakk5 02.01.2021 00:19

Question

Mathematics: For the fiscal year 2007, a tax authority audited 1.55% of individual tax rotterns with income of $100,000 or more. Suppose this percentage stays the same for the current tax year. What is the probability that two randomly selected returns with income of $100,000 or more will be audited?

kaylakk5 · Accepted Answer

To find the area of shaded region, we can first find the respective area for the different rectangles.

The area of the larger rectangle:

(3x-4) × (2x+2)

=6x^2 -2x - 8

The area of the smaller rectangle:

(x-3)(x-6)

=x^2 - 9x + 18

We can then deduct the smaller area from the larger area to find the

(6x^2 -2x - 8) - (x^2 - 9x + 18)
= 6x^2 -2x - 8 - x^2 + 9x - 18
= 5x^2 + 7x -26

Therefore, the answer is 5x^2 + 7x -26.

Hope it helps!

For the fiscal year 2007, a tax authority audited 1.55% of individual tax rotterns

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