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3 years ago

elizabeth buys a circular rug with a lace border. the lace is 12.56 feet long what is the diameter of the rug

Mathematics

2 answers:

vfiekz [6]3 years ago

3 0

We know that the lace is also what we would call the circumference of the circle.

And we also know that the circumference of a circle is represented by the equation: $c= \pi d$ .

We then can use the length of the lace (12.56 ft) to solve for the diameter (d) of the rug. Let us solve for that now:

$12.56=(3.14)d$

$d=4$

We now know that the diameter of the rug is 4 ft.

JulijaS [17]3 years ago

3 0

4 feet is the correct answer.

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Step-by-step explanation:

We are given the following in the question:

Alpha, α = 0.05

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$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

$\text{Margin of error} = z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$5 = 1.96(\dfrac{47}{\sqrt{n}} )\\\\\sqrt{n} = \dfrac{47\times 1.96}{5}\\\\n = 339.443776\\\Rightarrow n \approx 340$

Thus, the correct answer is

Option D) 340

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garri49 [273]

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