Percent error is the difference in percent between the estimated cost and the actual cost. So in this case the percent difference between 50 and 65. to find this we need to find out what percent the estimated cost is out of the actual cost, So what percent is 50 out of 65? We can find this by doing the equation 50 / 65, which is 0.76923076923.
This rounds to 0.77, which is 77%
So this means 77% is 50, and 100% is 65. So what is the difference? 100 - 77 = 23. So 23% is your answer.
Answer: 23% error.
Step-by-step explanation:
Percentage error = error in cost/actual cost X 100
Error = $65 - $50
= $15
Therefore, percent error
= 15/65 x 100
= 15 x 100/65
= 1500/65
= 23.07
Therefore, to the nearest whole %
= 23% error.
(-1, 1), (0, 0), (1, 1), (2, 0)
Answers
Part 1 = 2/9
Part 2 =5/9
Part 3 =7/9
Explanation
To convert the a repeating decimals this are the steps;
Part 1
Let x = 0.222222... (i)
10x = 2.222222... (ii)
Subtract equation (i) from equation(ii)
10x = 2.222222....
-x = 0.222222....
9x = 2.00000..
∴ 9x = 2
Divide by 9 both sides;
x = 2/9
Part 2
Let x = 0.5555...
10x = 5.5555...
subtract equation (i) from equation (ii).
10x = 5.5555..
- x = 0.5555..
9x = 5.0000..
∴ 9x = 5
x = 5/9
Part 3
Let x = 0.7777....
10x = 7.7777...
Subtracting equation (i) from equation (ii)
10x = 7.7777...
-x = 0.7777...
9x = 7.000..
∴ 9x = 7
x = 7/9
Pattern noted
When converting the repeating decimals to fraction only one number was repeating. This made the three decimals have the same fraction.
It is wrong, but close. Seperate the numbers and the varibles, to get 3/9 times x^2/x^5 which is the same thing, but can help you contemplate how to simplify the expression. If then simplified seperate you should get 1/3 times 1/x^3. From there just add the two to get 1/3x^3.