The sum of positive 2 numbers is k. Show that the sum of their squares is at least (greater than or equal to) 1/2k^2.

Related BrainMass Solutions

• Binary message probability

  ) = SUM C(n-1,2k) p^(2k) (1-p)^(n-2k) from k=1 to k=[n/2] + SUM C(n-1,2k-1) p^(2k) (1-p)^(n-2k) from k=1 to k=[n/2] = SUM C(n,2k) p^(2k) (1-p)^(n-2k) from k=1 to k=[n/2] using Newton's identity C(n-1,r-1) + C(n-1,r) = C(n,r) with r =

• Integer problems

  24063 Integer problems Suppose that integers 1,2,3,4,5,6,7,8,9,10 are arranged randomly along a circle. 1) show that For each circular arrangement, there exists at least three adjacent numbers whose sum is greater than 17 2) take n + 1 integers

• Compute sum of fourth powers given the sum of lower powers

  161827 Compute sum of fourth powers given the sum of lower powers The sum of three numbers is 4, the sum of their squares is 10 and the sum of their cubes is 22. What is the sum of their fourth powers?

• Regression: ANOVA

  This is the probability of getting an F value as large or larger than 0.7619 if Null hypothesis is true Since the probability value is larger than the significance level of 5.00% We accept the Null hypothesis

• Radius of convergence in series (complex plane)

  familiar with them) a).Show that the radius of convergence of the power series Sum ( n = 1 to infinity) ((-1)^n)/n (z^n*(n+1)) is 1.

• ANOVA Tests

  Since each sample has degrees of freedom equal to one less than their sample sizes, and there are k samples, the total degrees of freedom is k less than the total sample size: dfw = N - k=12-3=9.

• Hypothesis Testing in Business Statistics

  we see that calculated F value is greater than table F value at 5% level of significance.

• A formula that permits to express one class of finite sums in explicit form.

  It's clear that the total sum of the rectangles squares is equal to = p SN .

• Significant Difference

  Since each group has degrees of freedom equal to one less than their sample sizes, and there are k groups, the total degrees of freedom is k less than the total sample size: dfw = N - k=59-3=56.