Some numbers are not normally distributed. If the mean of the numbers is 38 and the standard deviation is 6, what proportion of values would fall between 26 and 50? What proportion of values would fall between 14 and 62? Between what two values would 89% of the values fall?

Answers

Answer 1

Answer:

??

Explanation:

Answer 2

Using Chebyshev's theorem, the solution to the problems posed are given thus :

Since the distribution isn't normally distributed, we use Chebyshev's theorem :

[1 - (1/k²)]k = number of standard deviations from the mean. Mean = 38 Standard deviation = 6

1.)

Proportion of values that fall between 26 and 50 :

(26 - 38) ; (50 - 38) = - 12, 12 = 12/6 = 2 standard deviations from the mean :

Hence, we have ;

[1 - (1/2²)]

[1 - 1/4] = 3/4 = 0.75

Hence, about 75% of the values fall between 26 and 50

2.)

Proportion that fall between 14 and 62 :

(62 - 38) / 6 = 24/6 = 4 standard deviations from the mean

Hence, we have ;

[1 - (1/4²)]

[1 - 1/16] = 15/16 = 0.9375

Hence, about 93.75% of the values fall between 14 and 62

3.)

We solve for k in the equation :

89% = 0.89

0.89 = [1 - 1/k²]

0.89 = (k² - 1)/k²

0.89k² = k² - 1

0.89k² - k² = - 1

0.11k² = - 1

k² = - 1/-0.11

k² = 9. 09

k = √9.09

k = 3.01 = 3

Lower boundary = 38 - (3×6) = 38 - 18 = 20

Upper boundary = 38 + (3×6) = 38 + 18 = 56

Hence, the two values are (20, 56)

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Related Questions

Which of the following scenarios describes a disadvantage of a global economy?


A. An electronics company expands to another country that has low manufacturing standards.
B. A tire company expands to a country where potential employees have diverse educational backgrounds.
C. A toy company builds a new factory in another country to build a larger market for its products.
D. A shoe company manufactures products in another country where materials are less expensive.

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Answer:

A)  An electronics company expands to another country that has low manufacturing standards.

Explanation:

The scenario is an electronics company expands to another country that has low manufacturing standards. Option A

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Expanding to a country with low manufacturing standards can be a disadvantage of a global economy. While it may initially lead to cost savings, it can compromise product quality, labor rights, and environmental regulations.

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The Ahmad Company paid 3.9 of dividends this year. If its
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The correct placement of information for a single-author book is as follows: Author, title, place of publication, publisher, and date. This sequence ensures clear and accurate citation, allowing readers to identify the author, book title, publication details, and publication year efficiently.

The correct answer is option D.

The general sequence of elements in the citation is as follows:

1. Author: The name of the author or authors (in this case, a single author).

2. Title: The title of the book, usually in italics or underlined.

3. Place of Publication: The city or location where the book was published.

4. Publisher: The name of the publisher responsible for producing the book.

5. Date: The year the book was published.

By presenting the information in this order, readers can quickly and accurately identify the author's name, the book's title, its publication details (place and publisher), and the year it was published. This format is widely used in various citation styles, such as APA (American Psychological Association), MLA (Modern Language Association), and Chicago style.

Here's an example of how the citation would look for a single-author book:

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Hi,

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(By Benjemin)

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Answer:

D

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Answer:

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Explanation:

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Answer:

c) long time absence and short presence

Explanation:

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A) consistency in action

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Answer:

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Answer:

Answers

Answer:

Use the Gordon Growth formula for this.

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Arrange the data points from smallest to largest.

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Answer:

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Answers

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Answers

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en el Peru cuales son los conocimiento de nuestra cultura andina que todavia se siguen utilizando¿cual es su utilidad para mitigar e impacto de determinados fenomemos naturales?

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Explanation:

Descriptions and typical ages that each stage of play emerge are included below. However, every child develops at their own pace and may engage in these types of play earlier or later. Plus, while these stages are progressive, they often occur simultaneously and stick around while new stages come about.

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Answers

Answer:

The difference between teacher made and standardized test are:

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Passage
The main character of this passage from a novel is Ree, a teenager living in the Ozark Mountains in
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(1) The snow fell first in hard little bits, frosty white bits blown sideways to polt Roo's face as she raised the
ax, swung down, raised it again, splitting wood while being stung by cold flung from the sky (2) Bits worked
inside her neckline and melted against her chest. (3) Ree's hair was shoulder-length and full with
ungovernable loose curls from temples to neck and snow bits gathered in the tangle (4) Her overcoat was
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inside her spint, poke the soothing sounds past that racket and down deep where her tonng soul paced
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favored The Sounds of Tranquil Streams, The Sounds of Tropical Down, and Alpine Dusk
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From Dar Woodret Winter Bone 2005 by De Wood
Question
The description in the first paragraph (sentences 1-9) suggests that Ree is
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Answers

Answer:

Touch and capable

Explanation:

The description in the first paragraph (sentences 1-9) suggests that Ree is tough and capable.

What does that tough mean?

The term a tough person is known to be a person that is very difficult to  deal with or handle.

Note that based on the passage, The description in the first paragraph (sentences 1-9) suggests that Ree is tough and capable as that is what she is.

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is a passing score for SAT and Algebra EOC for floridians still necessary to graduate high school? (i’m a senior, and class of 2021 did not have to even take the SAT)

Answers

Answer:

no i dont think so bc they didnt make anybody in crestview highschool take any test to graduate...

Explanation:

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