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3 years ago

Explain the difference between deductive and inductive arguments in your own words.

Mathematics

1 answer:

lyudmila [28]3 years ago

5 0

Answer: The difference is as follows:

Step-by-step explanation:

Deductive Arguments: A deductive argument is an argument wherein it is felt that the premises give an assurance of reality of the end. In a deductive arguments, the premises are planned to offer help for the conclusion that is so strong to an extent that, if the premises are valid, it would be impossible for the conclusion to be false.

Inductive Arguments: An inductive arguments is an arguments where it is believed that the premises provide reasons supporting the likely truth of the conclusion. In an inductive arguments, the premises are proposed distinctly to be strong to an extent that, on the off chance that they are valid, at that point it is impossible that the conclusion is false.

The contrast between the two originates from the kind of connection the author or explainer of the argument takes there to be between the premises and the conclusion. In the event that the author of the argument accepts that reality of the premises certainly sets up reality of the conclusion because of definition, l<igical entailment or scientific need, at that point the argument is deductive. In the event that the author of the argument does not feel that reality of the premises certainly sets up reality of the conclusion, however in any case accepts that their fact gives valid justification to accept the conclusion genuine, at that point the argument is inductive.

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The nth term of a sequence is represented by 3n4−10/6n4+7 . What is the limit of the the nth term as n becomes increasingly larg

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Answer:

Step-by-step explanation:

Given the limit of the function expressed as;

$\lim_{n \to \infty} \frac{3n^4-10}{6n^4+7} \\$

To take the limit, we nee to divide through by the highest power of n first

$\lim_{n \to \infty} \frac{3n^4/n^4-10/n^2}{6n^4/n^4+7/n^4}\\= \lim_{n \to \infty} \frac{3-10/n^2}{6+7/n^4}\\= \frac{3-10/(\infty)^2}{6+7/(\infty)^4}\\= \frac{3-0}{6-0}\\= \frac{3}{6}\\ = \frac{1}{2}\\$

Hence the limit of the the nth term as n becomes increasingly large is 1/2

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3 years ago

A survey was given asking whether people like dogs and/or cats. 153 said they like dogs 191 said they like cats 56 said they lik

lapo4ka [179]

Answer:

There were 362 people surveyed

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- A survey was given asking whether people like dogs and/or cats

# 153 said they like dogs

# 191 said they like cats

# 56 said they liked both cats and dogs

# 74 said they don't like cats or dogs

- We need to find how many people were surveyed

* <em>Lets find the number of who likes dogs only and the number who</em>

<em> likes cats only </em>

- The number who likes dog only (cats only) is the difference between

the number who likes dogs (cats) and the number who likes both

∴ The number who likes dogs only = 153 - 56 = 97

∴ The number who likes cats only = 191 - 56 = 135

- The total number of people were surveyed is the sum of the number

who likes cats only and who likes dogs only and who likes both and

who doesn't like both

∵ The number who doesn't like dogs or cats is 74

∴ The total number = 97 + 135 + 56 + 74 = 362

* There were 362 people surveyed

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3 years ago

The points (-5,r) and (-2,15) lie on a line with a slope of 3. Find the missing coordinate r. <br> .

Komok [63]

I hope this helps you

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3 years ago

Given the quadratic equation <img src="https://tex.z-dn.net/?f=y%20%3D%202%28x%20-1%29%5E%7B2%7D%20%2B%208" id="TexFormula1" tit

Sunny_sXe [5.5K]

Answer:

Part 1) "a" value is $2$

Part 2) The vertex is the point $(1,8)$

Part 3) The equation of the axis of symmetry is $x=1$

Part 4) The vertex is a minimum

Part 5) The quadratic equation in standard form is $y=2x^{2}-4x+10$

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

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if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

$x=h$

In this problem we have

$y=2(x-1)^{2}+8$ -----> this is the equation in vertex form of a vertical parabola

The value of $a=2$

a>0 then the parabola open upward (vertex is a minimum)

The vertex is the point $(1,8)$

$(h,k)=(1,8)$

The equation of the axis of symmetry is $x=1$

The equation of a vertical parabola in standard form is equal to

$y=ax^{2}+bx+c$

Convert vertex form in standard form

$y=2(x-1)^{2}+8$

$y=2(x^{2}-2x+1)+8$

$y=2x^{2}-4x+2+8$

$y=2x^{2}-4x+10$

see the attached figure to better understand the problem

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3 years ago