Under the dilation, the point (-3, -4) is moved to (-15, -20) what is the scale factor of the dilation?

The scale factor of dilation is: 5

Step-by-step explanation:

" A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

If the scale factor is greater than 1, the image is an enlargement (a stretch) " .

Whenever we multiply an coordinates or for some figure if all the coordinates get multiply by same factor 'a' then 'a' is called as scale factor in the dilation.

Here in this question:

(-3,-4) is moved to (-15,-20).

Here when (-3,-4) is multiplied by 5 we get the coordinate as: (-15,-20).

Hence, the scale factor is 5.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

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