What graph represents the system of linear inequalities? 4x+y> 1 y≤32x+2

The graph in the attached figure

Step-by-step explanation:

we have

-----> inequality A

The solution of the inequality A is the shaded area above the dashed line

The equation of the dashed line is

The slope of the dashed line is negative

The y-intercept of the dashed line is the point

The x-intercept of the dashed line is the point

-----> inequality B  

The solution of the inequality B is the shaded area below the solid line

The equation of the solid line is

The slope of the solid line is positive

The y-intercept of the solid line is the point

The x-intercept of the solid line is the point

using a graphing tool

The graph in the attached figure

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

1 and 0

step-by-step explanation: