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Ilia_Sergeevich [38]
3 years ago
11

Explain the purposes of inductive and deductive reasoning in mathematics. Be sure to define both inductive reasoning and deducti

ve reasoning and describe how each can help you develop and prove theorems.
Mathematics
1 answer:
uysha [10]3 years ago
7 0
When it comes to deductive reasoning, it is used to reach a logical solution. You start out with the general statement, or hypothesis, and examine all the possibilities so you can reach the final conclusion. 
Inductive reasoning is completely opposite - you focus on specific observations, and then make broad generalizations. 
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What is the area of the figure
Semenov [28]

Answer:

Area of the figure = 36 in²

Step-by-step explanation:

Area of the given composite figure = Area of the rectangle ABCE - Area of triangle CDE

Area of rectangle ABCE = Length × Width

                                        = AB × AC

                                        = 6 × 8

                                        = 48 in²

Area of triangle CDE = \frac{1}{2}(\text{Base})\times (\text{Height})

                                   = \frac{1}{2}(6)(4)

                                   = 12 in²

Now area of the composite figure = 48 - 12

                                                         = 36 square inch

4 0
2 years ago
What is the factored form of 4a^3b^5 − 16a^5b^2 + 12a^2b^3
Gre4nikov [31]
4a^3b^5 - 16a^5b^2 + 12a^2b^3 =
4a^2b^2 (ab^3 - 4a^3 + 3b) <==
8 0
3 years ago
Read 2 more answers
Describe the difference between the value of x in a binomial distribution and in a geometric distribution.
IceJOKER [234]

Answer:

A. In a binomial distribution, the value ofx represents the number of successes in n trials, while in a geometric distribution, the value ofx represents the first trial that results in a success.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

P(X=x)=(1-p)^{x-1} p

The most important difference is that in the binomial distribution, the value of x represents the successes in n trials.

And by the other hand in the geometric distribution, x represents the number of failures before you get a success in a series of Bernoulli trials.

So then the best answer for this case is:

A. In a binomial distribution, the value of x represents the number of successes in n trials, while in a geometric distribution, the value ofx represents the first trial that results in a success.

7 0
2 years ago
Given that g(x)=3x^2 -4x+3, find each of the following. <br><br>PICTURE DOWN BELOW!!!
victus00 [196]

Answer:

see explanation

Step-by-step explanation:

To evaluate the expression for the given values.

Substitute the given values for x into g(x)

a

g(0) = 3(0)² - 4(0) + 3 = 0 - 0 + 3 = 3

b

g(- 1) = 3(- 1)² - 4(- 1) + 3 = 3 + 4 + 3 = 10

c

g(2) = 3(2)² - 4(2) + 3 = 12 - 8 + 3 = 7

d

g(- x) = 3(- x)² - 4(- x) + 3 = 3x² + 4x + 3

e

g(1 - t)

= 3(1 - t)² - 4(1 - t) + 3

= 3(1 - 2t + t²) - 4 + 4t + 3

= 3 - 6t + 3t² - 4 + 4t + 3

= 3t² - 2t + 2

6 0
3 years ago
How to solve |2x+3|=5
astraxan [27]
1. subtract 3 from both sides
2x+3=5
-3 -3
now you have 2x=2
2. divide both sides by 2
2x=2
2x/2=2/2
now you have x = 2/2
3. simplify
the answer is x=1

hope i helped :)
4 0
3 years ago
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