Answer: Choice C) -1/3
The given line has a slope of -1/3 so anything parallel to that given line is also going to have an equal slope (of -1/3)
To find the slope of that line shown, notice how we drop down 1 unit and the move to the right 3 units when we go from the left point to the right point. Alternatively, you can use the slope formula m = (y2-y1)/(x2-x1) to get the same result.
Answer:
6(8 -5)
Step-by-step explanation:
take out the 6 -
8 - 5
then put them in parentheses
(8 - 5)
add back the 6
6(8 - 5)
The sample size should be 250.
Our margin of error is 4%, or 0.04. We use the formula

To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide both sides by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99
Using a z-table (http://www.z-table.com) we see that this value has a z-score of approximately 2.33. Using this, our margin of error and our proportion, we have:

Divide both sides by 2.33:

Square both sides:

Multiply both sides by n:

Divide both sides to isolate n:
Answer:
Step-by-step explanation:

A + m = 54, m = a + 4 and, a + m = 54, - a + m = 4,
Combine the equations: 2m = 58
Now solve: 2m = 58, 2m/2 = 58/2, m = 29, therefore a = 24