Findasubsetof{v⃗,v⃗,v⃗,v⃗,v⃗}thatfo rmsabasisforspan{v⃗,v⃗,v⃗,v⃗,v⃗}
12345 12345
and write the remaining vectors as a linear combination of those where v⃗ = (1,2,1,1), v⃗ = (−2,−4,−2,−2), v⃗ = (−1,0,1,1),
123
v⃗ = (0,1,−1,−1), v⃗ = (0,3,1,1)

step-by-step explanation:

yes it represnts a functio, their are not 2 of the same numbers on the both sides

cause it equals more

hey there : ) your answer would be a.

step-by-step explanation:

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.