Let X1, Y1, X2, Y2, . . . be independent random variables, each uniformly distributed in the unit interval [0, 1], and let W = (X1 + . . . + X500) − (Y1 + . . . + Y500) 500 . Let, 500 is a big number. Using the Central Limit Theorem (CLT), find a good approximation to the probability P(|W − E[W]| < 0.01).

Find the gradient of f(x,y,z)equals=left parenthesis x squared plus y squared plus z squared right parenthesis superscript negative 1 divided by 2 baseline plus ln left parenthesis x right parenthesis x2+y2+z2−1/2+ln(xyz) at the point left parenthesis negative 2 comma 1 comma negative 2 right parenthesis(−2,1,−2).

Segment ab is shown on the graph. which shows how to find the x-coordinate of the point that will divide ab into a 2: 3 ratio using the formula

Select all expressions that are equivalent to 2(3x + 7y). question 1 options: 6x + 14y 6x + 7y 1(6x + 14y)