I'm on a time which of the following represents a rotation of △pqr, which has vertices p(−2,4), q(−3,−9), and r(4,−2), about the origin by 180°? p (2, −4) q (3, 9) r (−4, −2) p (2, −4) q (−9, −3) r (−4, −2) p (2, −4) q (3, 9) r (−4, 2) p (−4, −2) q (9, −3) r (2, 4)

P = (2,-4)

Q = (3,9)

R = (-4,2)

Step-by-step explanation:

rotation by 180 degrees means that the points are inverted. the answers would be the opposite of the given

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval

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