what is the answer of this sqrt30 89702 40139702 30 239702
what is the answer of this sqrt(.30 *(-8%-9.70%)^2 +.40*(13%-9.70%)^2 + .30*( 23%-9.70%)^2) =
Solution
first x% means x/100
sqrt(.30 *(-8%-9.70%)^2 +.40*(13%-9.70%)^2 + .30*( 23%-9.70%)^2)
= sqrt(30*(-0.08 -0.097)^2 +40*(0.13 -0.097)^2 +30*(0.23-0.097)^2 )
=sqrt(30*(-0.177)^2 +40*(0.033)^2 +30(0.133)^2 )
=sqrt(30(0.031329) +40(0.001089) +30(0.017689) )
=sqrt(0.93987 + 0.04356 + 0.53067)
=sqrt(1.5141)
=1.23
