Determine which of the following pairs of events are dependent.
a) a: it rains today.
b: your favorite television show is on.

b)a: you cook your chicken improperly.
b: you get salmonella poisoning.

c)a: the power goes out.
b: you have batteries for your flashlight.

d)a: crickets chirp in the morning.
b: an owl howls at night.

Explanation:

A. Independent. The rainy weather does not affect what shows come on, and vice versa. They are separate events.

B. Dependent. It's not guaranteed, but its very likely that improperly cooking meat will lead to some kind of food poisoning. The events are heavily linked in that the second event depends on the first one.

C. Independent. You could make an argument that if you knew in advance of a power outage, then you would be stocked up on batteries (assuming you made proper steps to prepare). However, the event of power outage alone isnt enough to lead directly to you having batteries for the flashlight.

D. Independent. These two creatures have these behaviors for reasons completely separate from one another. A cricket chirp does not cause an owl to hoot, and vice versa.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.