core concepts, Mathematics

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Find the generating function, Find the generating function for the number o...

Find the generating function for the number of r-combinations of {3.a, 5.b, 2.c}          Ans:  Terms sequence is given as r-combinations of {3.a, 5.b, 2.c}. This can be writte

Dividing mixed numbers, Dividing Mixed Numbers Dividing mixed numbers i...

Dividing Mixed Numbers Dividing mixed numbers is a 3-step process: 1. Convert the mixed numbers to improper fractions. 2. Divide the fractions 3. Convert the result ba

One-to-one function, One-to-one function: A function is called one-to-one ...

One-to-one function: A function is called one-to-one if not any two values of x produce the same y.  Mathematically specking, this is the same as saying,  f ( x 1 ) ≠ f ( x 2

Number theory, formula for non negative solutions integral

formula for non negative solutions integral

Distance traveled by car - word problem, Distance Traveled by Car - word pr...

Distance Traveled by Car - word problem: It takes a man 4 hours to reach a destination 1325 miles from his home. He drives to the airport at an average speed of 50 miles per h

Rate -categories of multiplication, Rate - when we know how many objects...

Rate - when we know how many objects are in a set, and need to find out the total number in several copies of that set. (e.g., if a child uses 4 copybooks in a year, how many co

Tests for relative minimum, Tests for relative minimum For a relative ...

Tests for relative minimum For a relative minimum point there are two tests: i.The first derivative, which is (dy)/(dx)  = f´(x) = 0 ii.The second derivative, which i

Determine the conditional probability, Consider a class of 55 students. The...

Consider a class of 55 students. The student names are placed in a hat and 3 names are randomly drawn without replacement. a) If the first person drawn was named the class presi

The sum of -4 and a number is equal to -48 what is number, The sum of -4 an...

The sum of -4 and a number is equal to -48. What is the number? Let x = the number. Because sum is a key word for addition, the equation is -4 + x = -48. Add 4 to both sides o

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