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kodGreya [7K]
3 years ago
7

What is the reciprocal of 2 and 3/8

Mathematics
2 answers:
Leviafan [203]3 years ago
8 0
To find the reciprocal of a number or fraction, just flip the numerator and denominator. Whole numbers are always over 1. 

 2 = \frac{2}{1}

The reciprocal of \frac{2}{1} =  \frac{1}{2} or .5 (one-half)

The reciprocal of \frac{3}{8} =  \frac{8}{3}
chubhunter [2.5K]3 years ago
4 0

The <em><u>correct answer</u></em> is:

8/19.

Explanation:

2 3/8 can be written as 1 + 1 + 3/8. Each whole number 1 can then be written as a fraction, 8/8:

8/8 + 8/8 + 3/8 = 16/8 + 3/8 = 19/8

The reciprocal is found by flipping the fraction; this makes it 8/19.

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What is the fuction for the graph?
Andrews [41]

The <em>piecewise defined</em> function is formed by the following three functions: y = 40, for 0 ≤ x < 15, y = 0.0425 · x² - 3.8 · x + 87.438, for 15 ≤ x < 65 and y = 0.4 · x - 6, for x ≥ 65.

<h3>What is the piecewise defined function behind the graph?</h3>

In this problem we have a <em>piecewise defined</em> function formed by three functions: (i) <em>Linear</em> equation, (ii) <em>Quadratic</em> equation, (iii) <em>Linear</em> equation. The <em>first</em> function is y = 40, for 0 ≤ x < 15.

The <em>second</em> function can be found based on the knowledge of three points:

y = a · x² + b · x + c

(x₁, y₁) = (15, 40)

40 = 225 · a + 15 · b + c

(x₂, y₂) = (45, 2.5)

2.5 = 2025 · a + 45 · b + c

(x₃, y₃) = (65, 20)

20 = 4225 · a + 65 · b + c

And the <em>quadratic</em> equation is y = 0.0425 · x² - 3.8 · x + 87.438, for 15 ≤ x < 65.

And the <em>latter linear</em> equation is:

y = m · x + b

m = (30 - 20)/(90 - 65)

m = 0.4

And the x-intercept is:

b = y - m · x

b = 20 - 0.4 · 65

b = - 6

The <em>linear</em> equation is y = 0.4 · x - 6, for x ≥ 65.

The <em>piecewise defined</em> function is formed by the following three functions: y = 40, for 0 ≤ x < 15, y = 0.0425 · x² - 3.8 · x + 87.438, for 15 ≤ x < 65 and y = 0.4 · x - 6, for x ≥ 65.

To learn more on piecewise defined functions: brainly.com/question/12561612

#SPJ1

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2 years ago
What is the x intercept of the line 3x+2y-10=0
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To find the x int, sub in 0 for y and solve for x
3x + 2y - 10 = 0
3x + 2(0) - 10 = 0
3x - 10 = 0
3x = 10
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18b - 32 = 2(18b/2 - 32/2) = 2(9b - 16)
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Answer:

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b. Discrete

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a. The number of fish caught is a discrete random variable because these are countable.

b. The number of text book authors are also countable so it is a discrete random variable.

c. The political party affiliation of adults is not a random variable because the political party affiliation depends on person's interest and it cannot be randomly assigned to person. Also random variable is the numerical outcome of random experiment whereas political affiliation is the categorical variable that results in non numerical responses such as Democrat, Republicans etc.

d. The square footage of a house is measurable and so it is a continuous random variable.    

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