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satela [25.4K]
3 years ago
10

Using a type of logic known as __________, a generalized conclusion can often be drawn from a large number of specific observati

ons.
Mathematics
1 answer:
Elden [556K]3 years ago
7 0

There are different kinds of logical reasoning, two of the most known are the deductive reasoning and the inductive reasoning.

In the deductive reasoning we come to a conclusion by giving previous statements, as in this example.

Premise 1: All birds has wings.

Premise 2: The chicken is a bird.

Conclusion: The chicken has wings.

By the other hand, in the inductive reasoning we came to a conclusion by a series of previous observations, coming from specific cases to a general case. As in this example.

Premise 1: The brown cat has a tail.

Premise 2: The black cat has a tail

Premise 3: The white cat has a tail.

Conclusion: All cats have tails.

For the inductive reasoning to be accurate, there must be a large number of premises (observations).

So, the answer would be <u>inductive reasoning </u>Answer:

<u>inductive reasoning</u>

Step-by-step explanation:

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Answer:

5

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10 / 2 = 5

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Answer:

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Write the equation of the line for the following table of values.
Luda [366]

Answer:

We conclude that the equation of the line is:

  • y = 5x + 1

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

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  • b is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

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  • (-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)

m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}

m=5

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

y = mx+b

y = 5x + 1

Therefore, we conclude that the equation of the line is:

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Answer:

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mike

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