Let u1=[1 1 -2] u2=[5 -1 2] u3=[0 0 1] Note that u1 and u2 are orthogonal but that u3 is not orthogonal to u1 and u2 it can be shown that u3 is not the subspace W spanned by u1 and u2.Use this factor to construct the nonzero factor v in R3 that is orthogonal to u1 and u2.

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

Complete the steps to find 4.830 ÷ 5

What is the length of the segment, endpoints of which are intersections of parabolas y=x^2− 11/4 x− 7/4 and y=− 7 /8 x^2+x+ 31/8 ?