Inductive and deductive reasoning differ in which way?

Mathematics

1 answer:

Brums [2.3K]3 years ago

7 0

Answer:

(D) Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.

Step-by-step explanation:

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Factor the following polynomial 14x^2 - 35x

KonstantinChe [14]

Answer:

The binomial 14 $x^{2}$ - 35x can be factored as 7x(2x+5)

Step-by-step explanation:

When factoring, you want to factor each constant or variable by their greatest common factor (or GCF). Since $14x^{2}$ and $35x$ has a greatest common factor of 7x, factor each term by 7x and you'll get $7x(2x+5)$ .

4 0

3 years ago

Laila guesses on all 20 questions of a multiple-choice test. each question has 4 answer choices. what is the probability of a su

Mrrafil [7]

The probability of a success and a failure is as follows,

P(success) = one - fourth

P(failure) = three - fourth

Definition of Probability

The area of mathematics that deals with numerical representations of the likelihood that an event will occur or that a statement is true is known as Probability. An event's probability is a number between 0 and 1, where, 0 generally denotes the event's impossibility and 1 denotes certainty of that event.

Calculating the Probability

The formula for finding the probability of an event to occur is given by,

P = (favorable outcomes)÷(total number of outcomes)

Now, it is given that each multiple choice question consists of 4 choices.

And, out of these four choices, only one answer is true.

Then, if Laila guesses the answer, the probability of choosing the right answer is given by,

P(success) =1/4

Thus, the probability of choosing the wrong answer will be,

p(failure) = 1 - P(success)

⇒ P(failure) = 1 - (1/4)

⇒ P(failure) = 3/4

Learn more on probability here: