A dilation with a scale factor of 1/5 and centered at the origin is applied to MN with endpoints M(-2, 4) and N(1,5).
Drag and drop to match the correct coordinates with the point.
Coordinates of M'
Coordinates of N'
(-2/5, -4/5)
(-2/5, -4)
(1, 1)
(1/5, 1)
(-10, -20)
(-10, -4)
(5, 5)
(5, 25)
​

d. vertex

step-by-step explanation:

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