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3 years ago

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Mathematics

1 answer:

love history [14]3 years ago

4 0

The answer is D.

Why?

Let's determine what the maximum and minumum will be, the least number is 12 and the maximum number is 53. Only data set D has the correct min and max.

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Answer:

The area of the room and its uncertainty in square meters is:

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Step-by-step explanation:

We know the area of a rectangular room is the multiplication of the length and width:

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Now we need to know the uncertainty, the uncertainty of a multiplication is:

$\frac{δ_a}{|Area|} =\frac{δ_L}{|L|}+\frac{δ_W}{|W|}$ (1)

$δ_A$ : Area uncertainty

$δ_L$ : Length uncertainty

$δ_W$ : Width uncertainty

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L: Length

W: Width

Clearing the uncertainty of the area:

$δ_A=(\frac{δ_x}{|x|}+\frac{δ_y}{|y|})*Area$ (2)

$δ_A=(\frac{0.005}{|3.955|}+\frac{0.005}{|3.955|})*15.642 m^2$

$δ_A= 0.040 m^2$

The area of the room and its uncertainty in square meters is:

15.642±0.040 $m^2$

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Step-by-step explanation:

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