The function f(x) goes through the point (2, 6). what point will this translate to in the function f(x) = (x + 2) – 3? (0, 9) (0, 3) (4, 3) (4, 9)

(0,3)

Step-by-step explanation:

g(x) = f(x + 2) – 3

This is a shift of 2 to the left  and  a shift of 3 down

x moves from 2   to 2 units left  (-2)  so it becomes 0

y moves from 6 to 3 units down (-3) so it becomes 3

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

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step-by-step explanation: