What is the math definition for 'counterexample'? When is counterexample used?

1 answer:

7 0

A counterexample is something that proves a statement, or equation, wrong. A counterexample is used in math when someone creates a theorem, writes an equation, or creates a new rule and someone proves it to be false.

For Example:
Let's say that I said an even number plus an odd number always equals an even number. A counterexample of that would be 4 + 5 = 9, because 9 is odd, therefore proving the statement wrong.

You might be interested in

Segment A prime B prime has endpoints located at A' (0, 0) and B' (2, 0). It was dilated at a scale factor of one half from cent

yarga [219]

Answer:

i believe the answer is segment AB is located at A (-2, 0) and B (2,0) and is twice the length of segment A prime B prime

Step-by-step explanation:

^^^

4 0

3 years ago

Read 2 more answers

8 less than the product of 6 and -16

Pachacha [2.7K]

Answer:

-104

Step-by-step explanation:

Step 1: Write out expression

6(-16) - 8

Step 2: Evaluate

-96 - 8

-104

3 0

3 years ago

It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the

son4ous [18]

Answer:

85.56% probability that less than 6 of them have a high school diploma

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$