Research the topic of Pythagorean triples and write a brief report on the subject. A "Pythagorean Triple" is a set of positive integers, a, b and c that fits the rule: a2 + b2 = c2 (Pierce, 2011). The Pythagorean Theorem is a theorem that relates the lengths of the three sides of any right triangle (Stapel, 2010). If the triangle had a right angle (90°) and you made a square on each of the three sides, then the biggest square had the exact same area as the other two squares put together (Pierce, 2011). The sides of the triangle that meet at the right angle are labeled as sides (a) and sides (b).
A Pythagorean Triple can never be made up of all odd numbers or two even numbers and one odd number. This is true because: the square of an odd number is an odd number and the square of an even number is an even number and the sum of two even numbers is an even number and the sum of an odd number and an even number is in odd number. Therefore, if one of a and b is odd and the other is even, c would have to be odd. Similarly, if both a and b are even, c would be an even
Math 1600 Basic Probability and Statistics In this word document you have one example of what is expected when you have to compute the mean and the variance of a discrete probability distribution In page number 3 you have the modified exercise 4 for quiz No 8 Example 1. | Defective Transistors From past experience, a company has found that in cartons of transistors, 92% contain no defective transistors, 3% contain one defective transistor, 3% contain two defective transistors, and 2% contain three defective transistors.Find the mean, variance, and standard deviation for the defective transistors. Construct the probability histogramSolutionFill in the values in the table below
BMI=xKG/ym*ym the formula. x=body weight in kilograms y= body height in meter. June 2013 Body Mass Index 3 132 Divide your weight and one kilogram equals 2.2lbs. 2.2= 60 kg (60*0.254) (60/1.52) (39.47 *1.52) Multiple 60 Kilograms and 1 inch equals 0.254 meters. BMI=25.96 this is what I came up with as my BMI figure in the Kg/Meters.
1) Which of the following measures of central location is affected most by extreme values? A. Median B. Geometric mean C. Mean D. Mode Ans : C 2) A difference between calculating the sample mean and the population mean is: A. Only in the symbols, we use x instead of µ and n instead of N. B. There are no differences.
P(1+r/2)(1+r/2) Next step is to multiply the squared quantity. P(1+(r/2)+(r/2)+(r2/4)) Then carry out FOIL. P(1+(2r/2)+(r2/4)) Combine like terms. P+(2Pr/2)+(Pr2/4) Distribute P throughout the trinomial 4P+4Pr+Pr2 Simplified. 4 Now, unlike traditional polynomials, the one used above is not in descending order of the variables.
And C/Y and P/Y is set to 1. h. Whatever you need to solve, e.g. if you want to solve for I, take the cursor there, press ALPHA and then Press SOLVE. 3. To set the calculator for 4 decimal places. a.
There have been geometrical proofs where triangles are moved to form squares or a trapezoid in the case of President Garfield, algebraic proofs using the lengths and areas of triangles, and differential proofs using calculus. Euclid first found that a single formula could generate Pythagorean Triple. The formula he gave in Book 10 of his Elements, postulate 29 is: a=m²-n² b=2mn c=m²+n² As long as m>n, m and n have no common factors, and one of them is odd, this formula will generate unique Triples. In fact, this formula combined with multiples of the Triples that it generates will give all possible triples. Since there are an infinite number of pairs of such m and n values, this proves that there are an infinite number of such Triples.
None b. i only c. ii only d. i and ii e. ii and iii 5. For the positive integers a,b, and k, ak || b means that ak is a divisor of b, but ak+1 is not a divisor of b. If k is a positive integer and 2k || 72, then k is equal to p. 2 q. 3 r. 4 s. 8 t. 18 6. If p is the product of integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p?
If x, y, and z are relatively prime, then the triple is called primitive” (Rowland, 2011, Theorem 1). As our assignment this week states (Bluman, 2011, p. 620, project 4), one example of a Pythagorean triple is 3, 4, and 5, because 32 + 42 = 52 which reads 9 + 16 = 25 when solved. This is the same with the numbers 5, 12, and 13, because 52 + 122 = 132 which reads 25 + 144 = 169 when solved. In this assignment, we will test one set of formulas which will generate an infinite number of Pythagorean triples, all the while showing examples of other Pythagorean triples. One set of formulas is noted by Amar Kumar Mohapatra and Nupur Prakash, of the Guru Gobind Singh Indraprastha University of Delhi, India, in their written work, A generalized formula to determine Pythagorean triples.