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kvasek [131]
4 years ago
12

Is 7.555... a rational number?

Mathematics
2 answers:
Rashid [163]4 years ago
4 0

Answer:

Step-by-step explanation:

Yes it is

uranmaximum [27]4 years ago
4 0

Answer:

yes

Step-by-step explanation:

Rational Number

A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). It can be written as a fraction in which the the top number (numerator) is divided by the bottom number (denominator).

All integers are rational numbers since they can be divided by 1, which produces a ratio of two integers. Many floating point numbers are also rational numbers since they can be expressed as fractions. For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction.

A floating point number is rational if it meets one of the following criteria:

it has a limited number of digits after the decimal point (e.g., 5.4321)

it has an infinitely repeating number after the decimal point (e.g., 2.333333...)

it has an infinitely repeating pattern of numbers after the decimal point (e.g. 3.151515...)

If the numbers after the decimal point repeat infinitely with no pattern, the number is not rational or "irrational." Below are examples of rational and irrational numbers.

1 - rational

0.5 - rational

2.0 - rational

√2 - irrational

3.14 - rational

π (3.14159265359...) - irrational

√4 - rational

√5 - irrational

16/9 - rational

1,000,000.0000001 - rational

In computer science, it is significant if a number is rational or irrational. A rational number can be stored as an exact numeric value, while an irrational number must be estimated.

NOTE: The number zero (0) is a rational number because it can be written as 0/1, which equals 0.

source: https://techterms.com/definition/rational_number

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1.3 lesson help please
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Answer:

1. 125

2. 25

3. 40

4. 39

First question:

(15-10)^2 + (15-5)^2

parentheses first to get 5^2 + (15-5)^2

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parentheses again 25 + 10^2

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Second question:

simplify the exponents (3 *3) + (4 * 4) + (2 * 2) to get 9 + 16 + 4 = 29

Third question:

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Fourth question:

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7 0
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The box plot show the price of textbooks at a local high school. What range describe the middle 50% if the price (p) of the text
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Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the box plot is not attached.

However, the interpretation of the question is to determine the inter-quartile range (IQR) ; this represents the middle 50% of scores

To answer this question, I will make use of the attached box plot.

IQR is calculated as:

IQR = Q_3 - Q_1

Q_1 and Q_3 are represented by the vertical edges of the rectangle in the box plot. [See attachment]

Reading Q_1 and Q_3, we have:

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lubasha [3.4K]

Answer:

Sample size 'n' = 384

Step-by-step explanation:

<u><em>Explanation:</em></u>-

Given margin of error = 0.04

The sample proportion 'p'= 0.80

The margin of error is determined by

                               M.E = \frac{Z_{\alpha } \sqrt{p(1-p)} }{\sqrt{n} }

                             0.04 = \frac{1.96 \sqrt{0.80(1-0.80)} }{\sqrt{n} }

Cross multiplication, we get

                             \sqrt{n}  = \frac{1.96 \sqrt{0.80(1-0.80)} }{0.04 }

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Squaring on both sides , we get

                            n = 384.16≅384

<u><em></em></u>

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