Suppose a1, а2, а3, and a4 are vectors in R^3, A=(a1 | a2 I a3 | a4), and rref (A) = 0 5 a. Select all of the true statements (there may be more than one correct answer). A. span{a1, a2}=R^3 B. span{a1, a2, a3, a4} = R^3C. a and a2 are in the null space of A D. { ai , a2. аз, aa) is a basis for R^3 E. (ai , a2. a3 } is a linearly independent set F. { a, a2. аз, a4) is a linearly independent set a G. { a1, a2, аз, a4 } is not a basis for R^3 H. [ai, az is a linearly independent setb. If possible, write a as a linear combination of a and a2; otherwise, enter DNE. Enter al for a, etc. a3 = 2(a1)+a2c. If possible, write a4 as a linear combination of a1 , a2 , and a3: otherwise, enter DNE. a4 = DNE

1. 34

2. 268

3. x=14.4

step-by-step explanation:

step-by-step explanation:

the shape,the size and the distance

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560