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irina1246 [14]
3 years ago
9

You estimate that a piglet weighs 9 pounds. The actual weight of the piglet is 11 pounds. Find the percent error. Round your ans

wer to the nearest hundredth of a percent. PLEASE ANSWER
Mathematics
1 answer:
Alexandra [31]3 years ago
3 0
The percent error is calculated like by subtracting the actual amount from the estimated amount, dividing by the actual amount, taking the absolute value of this number, and multiplying by 100:

|\frac{estimated -actual}{actual} |*100

Plug in the values:

|\frac{9-11}{11} |*100= \\ \\ | \frac{-2}{11} |*100 $\approx$ \\ \\ \(\lvert -0.1818\rvert\) *100= \\ \\ 0.1818*100=18.18\%

The percent error should be ~18.18%.
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Option (B)

Step-by-step explanation:

There are two lines on the graph representing the system of equations.

First line passes through two points (-3, 1) and (-2, 3).

Slope of the line = \frac{y_2-y_1}{x_2-x_1}

                           = \frac{3-1}{-2+3}

                       m = 2

Equation of the line passing through (x', y') and slope = m is,

y - y' = m(x - x')

Equation of the line passing through (-3, 1) and slope = 2 will be,

y - 1 = 2(x + 3)

y = 2x + 7 ----------(1)

Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.

Let the equation of this line is,

y = mx + b

Slope 'm' = \frac{y_2-y_1}{x_2-x_1}

               = \frac{4-1}{-1-0}

               = -3

Here 'b' = 1

Therefore, equation of the line will be,

y = -3x + 1 ---------(2)

From equation (1) and (2),

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x = -\frac{6}{5}

x = -1\frac{1}{5}

From equation (1),

y = 2x + 7

y = -\frac{12}{5}+7

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  = \frac{23}{5}

  = 4\frac{3}{5}

Therefore, exact solution of the system of equations is (-1\frac{1}{5},4\frac{3}{5}).

Option (B) will be the answer.

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4 years ago
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