Write the equation of a line with the slope of 2, which contains the point (4,-8).

y = 2x-16

Step-by-step explanation:

To find a line when we know the slope and a point, we can use the point slope formula for a line

y-y1 = m(x-x1)  

where the point is (x1,y1) and the slope is m.  Substituting the known information in.

y--8 = 2 (x-4)

y+8 = 2(x-4)

We can manipulate this into slope intercept form by distributing the 2

y+8 = 2x-8

and subtracting 8 from each side

y+8-8 = 2x-8-8

y = 2x-16

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