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Wewaii
1 month ago
8

The number of pages in the U.S. tax code exceeds the number of pages in the King James Bible by 18,528. The combined number of p

ages in the tax code and the Bible is 21,472. How many pages are in the U.S. tax code?
Mathematics
2 answers:
Inessa [12.5K]1 month ago
7 0

Answer:

The number of pages in the U.S. Tax Code is 20,000.

Step-by-step explanation:

Designate T as the number of pages in the U.S. tax code.

Let B represent the number of pages in the King James Bible.

The U.S. tax code's pages exceed the Bible's by 18,528.

This can be translated to mean that the U.S. tax code has 18,528 pages more than the Bible.

This is expressed mathematically as:

T=B+18528..........(1)

The total number of pages between the tax code and the Bible is 21,472.

T+B=21472......... (2)

Next, replace T in equation (1) into equation (2)

B+18528+B=21472

=> 2B+18528=21472

=> 2B=2944

Giving us B=1,472 (Bible pages)

And T = 1472+18528 = 20,000

Conclusively, the U.S. tax code contains 20,000 pages.

Leona [12.6K]1 month ago
6 0
Let x represent the number of pages in the U.S. Tax Code and y denote the pages in the King James Bible.

According to the provided information,
x= y+18,528 ⇒ y=x-18,528
x+y = 21,472 ⇒ x+(x-18,528) = 21,472 ⇒ x+x-18,528 = 21,472 ⇒ 2x= 18,528+21,472 ⇒ 2x = 40,000 ⇒ x=40,000/2 = 20,000 pages

Therefore, the U.S. tax code consists of 20,000 pages.
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Upang masagot ang tanong na ito, kinakailangan nating maunawaan ang normal probability distribution at ang central limit theorem.

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Central Limit Theorem

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Ipagpalagay na ang standard deviation ng diameter ng mga rims ay 0.3 inches. Ang samples ay 9.

Ibig sabihin nito \sigma = 0.3, n = 9, s = \frac{0.3}{\sqrt{9}} = 0.1

a. Kalkulahin ang posibilidad na itigil ang paggawa kapag ang sample mean ay 16 inches.

\mu = 16Narito ang

Mas mataas sa 16.25:

Ito ay 1 na ibinawas mula sa p-value ng Z kapag X = 16.25. Kaya

Z = \frac{X - \mu}{\sigma}

Sa pamamagitan ng Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{16.25 - 16}{0.1}

Z = 2.5

Z = 2.5may p-value na 0.9938

1 - 0.9938 = 0.0062

Mas mababa sa 15.75:

Ito ay p-value ng Z kapag X = 15.75. Kaya

Z = \frac{X - \mu}{s}

Z = \frac{15.75 - 16}{0.1}

Z = -2.5

Z = -2.5may p-value na 0.0062

Probabilidad ng pagtigil:

2*0.0062 = 0.0124

0.0124 = 1.24% ang posibilidad na itigil ang paggawa kapag ang sample mean ay 16 inches.

b. Kalkulahin ang posibilidad na itigil ang paggawa kung ang mean ay lumipat sa 16.05 inches.

\mu = 16.05

Narito ang

Mas mataas sa 16.25:

Z = \frac{X - \mu}{s}

Z = \frac{16.25 - 16.05}{0.1}

Z = 2

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1 - 0.9772 = 0.0228

Mas mababa sa 15.75:

Ito ang p-value ng Z kapag X = 15.75. Kumbaga

Z = \frac{X - \mu}{s}may p-value na 0.0013

Z = \frac{15.75 - 16.05}{0.1}

Z = -3

Z = -3Probabilidad ng pagtigil:

0.0228 + 0.0013 = 0.0241

0.0241 = 2.41% ang posibilidad na itigil ang paggawa kung ang mean ay lumipat sa 16.05 inches.

c. Kalkulahin ang posibilidad na hindi makagambala sa produksyon kung ang mean ay lumipat sa 16.25 inches.

Sa pagitan ng 16.25 at 15.75 na may \mu = 16.25. Ito ang p-value ng Z kapag X = 16.25 na ibinawas mula sa p-value ng Z kapag X = 15.75.

X = 16.25

Z = \frac{X - \mu}{s}

Z = \frac{16.25 - 16.25}{0.1}

Z = 0

Z = 0may p-value na 0.5

X = 15.75

Z = \frac{X - \mu}{s}

Z = \frac{15.75 - 16.25}{0.1}

Z = -5

Z = -5may p-value na 0

0.5 - 0 = 0.5

0.5 = 50% ang posibilidad na hindi makagambala sa produksyon kung ang mean ay lumipat sa 16.25 inches.

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