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# Algebra answers to 8 questions

Combinations and permutation in mathematics are the various ways through which a set of items can be organized. Mathematicians have deduced that these number arrangements can be found using factorials. For example, an n number of items can be arranged…

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P(X=0)=C020 *0.080 * 0.9220 = 0.9220 ≈ 0.1887

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Solution: Let the three numbers be x, y and z. Sum of the numbers is 98. x + y + z = 98………………(i) The ratio of the first to the second is 2/3. x/y = 2/3. x = 2/3 ×…

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5P3 is an example of nCr which is DEFINED as n! / (n-r)! In this case, 5! / 2! has the 5•4•3 expansion...it's 5! but with the 2•1 having cancelled the last two factors of 5! Answer 60 is entirely…

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oh, it's quite simple we need to get x from one of equation, so x-2 = -x-4 then 2x=-2 x = - 1 after that we put x into y=x-2 and get y = - 3 Answer: -3

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Total time spent: 4 hours 15 minutes (it is equivalent to 255 minutes). Let the flight time from Paris to Glasgow be X. Then the flight time from Glasgow to Paris will be (X+10). We have an equation with one…

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x represents the number of comic books to start x - 0.5x + 14 = 28

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Here is a 2×2 counterexample, easily extendable to n×n: Let A orthogonally project onto one axis, and let B rotate the plane by 90∘. The operation of ABA is to collapse everything down to one axis, then turn that axis, then collapse that axis down to the origin. However, A2=A≠0

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