Which of the following inequalities matches the graph?

graph of an inequality with a solid vertical line through the point (−7, 0) and shading to the left of the line

x greater than or equal to −7
x less than or equal to −7
y less than or equal to −7
y greater than or equal to −7

The inequality is:

x less than or equal to −7

Step-by-step explanation:

We are asked to find the inequality that satisfy this graph.

graph of an inequality with a solid vertical line through the point (−7, 0) and shading to the left of the line.

Solid line means that the inequality is an inequality with an equality sign.

Now as the line is vertical and passes through the point (-7,0).

This means that the equation of the line is:

x= -7.

Also, it is given that the shaded region is to the left of the line this means that the origin is not included in the domain.

Hence, the inequality that holds this line is:

x≤-7

( Since the inequality does not satisfy the zero point test.

As 0≤-7 is a false inequality)

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