What is the goal of a proof by contradicción?

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Answer 1

Answer:

Answer:

In logic and mathematics, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition to be false leads to a contradiction.

Step-by-step explanation:

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Problem 11. (3 pt) [MBB2012, Ex. 4.46, p. 150, Dice] An experiment consists of tossing a single die and observing the number of dots that show on the upper face. Events A, B, and C are defined as follows: (A:) Observe a number less than 4 (B:) Observe a number less than or equal to 2 (C:) Observe a number greater than 3 Find the probabilities associated with the events below using either the simple event approach or the rules and definitions from this section. (a) S (b) A|B (c) B (d) A ∩ B ∩ C (e) A ∩ B (f) A ∩ C (g) B ∩ C (h) A ∪ B (i) B ∪ C .

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Hope this helps, let me know if it doesn't make sense

Call a household prosperous if its income exceeds $100,000. Call the household educated if the householder completed college. Select an American household at random, and let A be the event that the selected household is prosperous and B the event that it is educated. According to the Current Population Survey, P(A)=0.138, P(B)=0.261, and the probability that a household is both prosperous and educated is P(A and B)=0.082. What is the probability P(A or B) that the household selected is either prosperous or educated?

Answers

Answer: 0.317

Step-by-step explanation:

Let A be the event that the selected household is prosperous and B the event that it is educated.

Given : P(A)=0.138, P(B)=0.261

P(A and B)=0.082

We know that for any events M and N ,

$\text{P(M or N)=P(M)+P(N)-P(M or N)}$

Thus , $\text{P(A or B)=P(A)+P(B)-P(A or B)}$

$\text{P(A or B)}=0.138+0.261-0.082\n\n\Rightarrow\text{ P(A or B)}=0.317$

Hence, the probability P(A or B) that the household selected is either prosperous or educated = 0.317

What is the value of y when x equals 10 (y=2x+1)

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Answer:

y= 21

Step-by-step explanation:

2*10+1= y

20+1= 21

y = 21

The best fit line is given by the equation y=0.5x+0.4, where y represents the distance in miles, and x represents the time for the trip in minutes.

Use the best fit line to estimate the distance for a trip that takes 20 minutes.

Enter your response in the box. Give the answer to the tenths place.

miles

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Answer:

The anwser is 10.4

Step-by-step explanation:

0.5(20)+0.4

Gas prices went up this week from $4.00 a gallon to $4.20. What is the percent increase of the price?

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Answer:5% increase

Step-by-step explanation:

A quadrilateral has angles that measure 60°, 95°, and 150°. What is the measure of the fourth angle?

A.
25°

B.
55°

C.
85°

D.
125°

Answers

The sum of angles in a quadrilateral = 360 degrees.

Let the fourth angle be x:

Therefore: 60 + 95 + 150 + x = 360

305 + x = 360

x = 360 - 305

x = 55

Option B. I hope this helps.

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