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asambeis
1 month ago
11

Julio cubes a number then takes the cube root of the result. He ends up with 20. What number did Julio start with

Mathematics
1 answer:
AnnZ [12.3K]1 month ago
6 0

Suppose we designate the number as x.

Julio's initial action is to cube this number, resulting in:

x^3

Next, he calculates the cube root of this value, leading to:

(x^3)^(1/3)

 

When simplified, this becomes:

x^(3/3) = x^1 = x

Since he ends with the value of 20, we conclude:

x = 20

 

<span>Thus, Julio both began and concluded with the number 20.</span>

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The required 95% confidence interval yields:-

\overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}\\\\ =\$50.50\pm(2.145)\dfrac{\$20}{\sqrt{15}}\\\\\approx \$50\pm\$11.08

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\$50\pm\$11.08

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