It depends on what was added. If an ADDEND was 0 then it would be identity property of addition, which states that if 0 is added to a number, the number would stay the same. If the SUM was 0, then it would be inverse property of addition, which states that a number plus it's opposite equals 0.
Answer:
20% of 45 is 9. sale price- 9$
Step-by-step explanation:
20% of 45
20/100 = 0.20 (0.20) (45) = 9
Answer:
x=8+4y
Step-by-step explanation:
Add 8y to both sides:
2x=16+8y
Divide both sides by 2:
x=8+4y
Re-arranging the numbers;
13.0, 13.5, 13.6, 14.1, 14.8, 15.8, 19.1, 21.6, 26.0, 30.8
Mean, x_bar = (13.0+13.5+13.6+14.1+14.8+15.8+19.1+21.6+26.0+30.8)/10 = 18.23
Standard deviation, sigma = Sqrt [{(13-18.23)^2+(13.5-18.23)^2+(13.6-18.23)^2+(14.1-18.23)^2+(14.8-18.23)^2+(15.8-18.23)^2+(19.1-18.23)^2+(21.6-18.23)^2+(26-18.23)^2+(30.8-18.23)^2}/10] = Sqrt [{27.3529+22.3729+21.4369+17.0569+11.7649+5.9049+0.7569+11.3569+60.3729+158.0049}/10] = Sqrt [336.381/10] = 5.8
Therefore,
x_bar = 18.23
sigma = 5.8
At 99% confidence, Z = 2.58
Confidence interval = x_bar +/- Z*sigma/Sqrt (n) = 18.23+/- 2.58*5.8/Sqrt (10) = 18.23+/-4.73 = [(18.23-4.73), (18.23+4.73)] = [13.5,22.96]
Answer:
Step-by-step explanation:
Please use " ^ " to indicate exponentiation:
A = x^2 + 9x - 36. This factors into A = (x + 12)(x - 3). We can assume that the length of the parallelogram is x + 12 and that the width is x - 3.
Note that if x = 3 the area becomes zero. So: x must be greater than 3, so that the (x - 3) factor is positive.
Example: If x = 4, then the dimensions of the parallelogram are 4 + 12, or 16, and 4 - 3, or 1.
