Find the slope of a line perpendicular to 2x + y = -8

slope =

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2x + y = - 8 into this form by subtracting 2x from both sides

y = - 2x - 8 ← in slope- intercept form

with slope m = - 2

Given the slope of a line m then the slope of a line perpendicular to it is

= - = - =

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

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation: