Basic algebra operations actually breakdown in floating point arithmetic. Take for instance the associativity property of the real numbers under addition were the following would be true,

x+(y+z)=(x+y)+z x, y,z,∈ℝ

But in floating point arithmetic, the equality relation does not necessarily hold. Can you find three floating point numbers such that this equality becomes a strict inequality?
Find an x, y,zxyz such that, x+(y+z)≠(x+y)+z. Return the three floating point numbers in the three variables x, y, and z.

Replace to x, y, and z with your solution
x = 0.0
y = 0.0
z = 0.0

Write a program that reads a file consisting of students’ test scores in the range 0–200. it should then determine the number of students having scores in each of the following ranges: 0–24, 25–49, 50–74, 75–99, 100–124, 125–149, 150–174, and 175–200. output the score ranges and the number of students. (run your program with the following input data: 76, 89, 150, 135, 200, 76, 12, 100, 150, 28, 178, 189, 167, 200, 175, 150, 87, 99, 129, 149, 176, 200, 87, 35, 157, 189.)

What is the worst-case complexity of the maxrepeats function? assume that the longest string in the names array is at most 25 characters wide (i.e., string comparison can be treated as o( class namecounter { private: int* counts; int nc; string* names; int nn; public: namecounter (int ncounts, int nnames); int maxrepeats() const; }; int namecounter: : maxrepeats () { int maxcount = 0; for (int i = 0; i < nc; ++i) { int count = 1; for (int j = i+1; j < nc; ++j) { if (names[i] == names[j]) ++count; } maxcount = max(count, maxcount); } return maxcount; }

Creating "smart interfaces" in all sectors of industry, government, and the public arena is one of the fastest growing hct areas. these interfaces model, interpret, and analyze such human characteristics as speech, gesture, and vision. the field of biometrics, in which humans authenticate themselves to machines, is an area of considerable interest to hct practitioners. fingerprint scans are one of the most frequently used biometric options, and this article, biometric student identification: practical solutions for accountability & security in schools, makes a case for the implementation of fingerprint scans in schools. critique the article, and answer the following questions: according to the author, what are the main benefits of adopting fingerprint scans in schools for student identification? according to the author, what are the main drawbacks of adopting fingerprint scans in schools for student identification? do you agree with the author's assessment of the pl