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Who is the individual responsible for controlling and coordinating all range and publishing safe range use requirements?
RSO
What is the area of a circle if the diameter is 5 cm?
i believe the equation is : 2 x pi x rso if the radius is half the diameter, it will be 2 x pi x 2.5 = 15.72 x pi x r is the circumfrence.. pi x r2= A so 2.52 x pi=6.25pi or about 19.63
Which formula is used to find the relationship among density mass and volume?
Density is equal to the mass divided by the volume. Usually density is represented by the Greek letter rho, however here I will just use the letter "r". So then:r = M/V and thereforeM = rV and thereforeV = M/rSo if you know any two of r, M, or V, you can find the missing piece of information.
What happens to the area of a circle of it's radius is increased by10 percent?
The area increases by 21%.Let r=the original radiusand let R=the increased radius10% of r is .1rR=r + .1 rso R=1.1ra=the original areaand A=the area of the larger circlea= pi x r2A= pi x R2=pi x (1.1r)2=pi x 1.21r2A=1.21 x (pi x r2)=1.21 aA=a + .21 aThe area of the new circle increases by 21%
How do you show a variance matrix is nonnegative definite?
I assume you mean covariance matrix and I assume that you are familiar with the definition:C = E[(X-u)(X-u)T]where X is a random vector and u = E(X) is the meanThe definition of non-negative definite is:xTCx ≥ 0 for any vector x Є RSo is xTE[(X-u)(X-u)T]x ≥ 0?Then, from one of the covariance properties:E[(xT(X-u))((X-u)Tx)] = E[xT([(X-u)(X-u)T]x)] = E[((xTI)x)] = E[xTx]Finally, since we've already defined x to have only real values, xTx is therefore non-negative definite by definition.
