The graph below shows a translation of preimage triangle vertex C to image triangle vertex C'. What is the algebraic rule for this translation?
A. (x, y) = (x+6,9+2)
B. (x, y) → (x-6,y-2)
C. (x, y) → (x -6,y-6)
D. (x, y) → (x+2,x+10)

Option (B)

Step-by-step explanation:

From the figure attached,

Triangle with vertex C' is a translated form of the triangle with vertex C.

Coordinates of pre-image C → (2 , 6)

Coordinates of the image C' → (-4, 4)

Rule followed from pre-image C to image C',

(2, 6) → (-4, 4)

(2, 6) → [(2 - 6), (6 - 2)]

(x, y) → [(x - 6), (y - 2)]

Therefore, rule given in option (B) is the answer.

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