What is tautology in math?

Answers

Answer 1

A statement which is known as tautology is a type of compound statement in whose result is always the truth value. We don't take in consideration the other individual values in consideration , the result in tautology is always true.

It is one of the most significant part in logical mathematics if we need to find the most accurate answers or findings among a given group of answers.

In mathematics, tautology is used so as to ensure that the results which is obtained are true and exact and not false . A tautology is a compound statement and it will always returns true value. The result in tautology is always true, regardless of what the constituent parts are.

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Related Questions

I NEED HELP WITH THIS PLEASEEE

Answers

Answer:

The probability of it being greater than 6 is 3/4.

Step-by-step explanation:

there are 4 outcomes, and 6 is only one of them. 3 are greater than 6, so 4 out of the 4 times the number will be greater than 6.

A qué te gusta mi respuestas entonces un pvp

help me find the right angles URGENT !!

Answers

Answer:

q is around 85-89 and S is 91-95

Step-by-step explanation:

sorry i dont have a protractor on me this is the best i can do

Write a formula for arc length S in terms of r for the following figure.
1.2
S
The angle in the figure is a central angle in radians.
SE

Answers

Answer:

1.2r

Step-by-step explanation:

The arc length in terms of r will be equal to 1.2r.

What is the arc length of the circle?

The distance between two places along a segment of a curve is known as the arc length. Curve rectification is the process of measuring the length of an irregular arc section by simulating it with connected line segments.

It is given that the angle in radians is 1.2 and the radius is r then the arc length will be calculated as below:-

The arc length = Angle x radius

The arc length  = 1.2 x r

The arc length  = 1.2r

Therefore, the arc length in terms of r will be equal to 1.2r.

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Triangle STU is a right triangle.
Write an equation that relates the lengths of sides s, t, and u? (5 points)

Answers

Use the concept of the Pythagorean Theorem, where the sum of the squares of legs 1 and 2 is equal to the square of the hypotenuse. This means you can take the square root of the hypotenuse square and obtain its length since a square’s area is s².

So, here’s the equation:

t²+s²=u²

Where t=leg 1, s=leg 3, and u=hypotenuse

Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child..
Ty!

Answers

Answer: 5 or c

Step-by-step explanation:

1. What is the distance between the points (4, 5) and (-3, 5)?

Answers

d(A,B) = √(x2 - x1)^2 + (y2 - y1)^2
d(A,B) = √(-3 - 4)^2 + (5 - 5)^2
d(A,B) = 7

Find the distance AB rounded to the nearest tenth Need help?

Answers

Um I need to answer in order to ask a question so

y-intercept of y=-2x+4

Answers

Answer:

Y=4

Step-by-step explanation:

y intercept means x=0

Y=4

when x equal 8 to the x^6-64x^4+x^2-7x-51

Answers

The expression (x - 8) is not the factor of the polynomial x⁶ - 64x⁴ + x² - 7x - 51.

What is factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial is given below.

⇒ x⁶ - 64x⁴ + x² - 7x - 51

If the value of the polynomial is zero at x = 8. Then (x - 8) will be the factor of the polynomial.

At x = 8, the value of the polynomial is given as,

⇒ (8)⁶ - 64(8)⁴ + (8)² - 7(8) - 51

⇒ 262,144 - 262,141 + 64 - 56 - 51

⇒ - 43

The expression (x - 8) is not the factor of the polynomial x⁶ - 64x⁴ + x² - 7x - 51.

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Find a word problem 4=3/4x+0

Answers

Answer:

x=16/3

Step-by-step explanation:

4=3/4x+0

4=3x/4

4=3x/2square

4times4=16

3x/3=16/3

x=16/3

solve 2+n=0(mod6)
solve2+(3+n)=1 (mod6)

Answers

Solving the modular arithmetic will result to

2 + n = 0 (mod 6): n = -22 + (3 + n) = 1 (mod 6): n = -4

What is modular arithmetic?

The term modular arithmetic is the arithmetic that works with whole numbers in a such that, following division by a modulus, all numbers are replaced by their remainders.

Solving the modular arithmetic: 2 + n = 0 (mod 6)

2 + n = 0 (mod 6)

n = -2

Solving the modular arithmetic: 2 + (3 + n) = 1 (mod 6):

2 + (3 + n) = 1 (mod 6)

5 + n = 1 (mod 6)

n = 1 - 5

n = -4

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need help asap! will give brainliest!

Answers

Answer:

10.5

Step-by-step explanation:

Please help I need this

Answers

Answer:

[tex]4+2 i[/tex]

Step-by-step explanation:

[tex]i=\sqrt{-1}[/tex]

[tex]4+\sqrt{-4} =4+\sqrt{-1} * \sqrt{4} =4+i2[/tex]

Answer:

the expression of number 4+√(-4) in

a+bi

form is 4+2i

Fatuma recently hired a roofer to do some necessary work. On the final bill, Fatuma was charged a total of $1449. $315 was listed for parts and the rest for labor. If the hourly rate for labor was $63, how many hours of labor was needed to complete the job?


(A) First write an equation you can use to answer this question. Use x as your variable and express any percents in decimal form in the equation.


The equation is


(B) Solve your equation in part (A) to find the number of labor hours needed to do the job.


Answer: The number of labor hours was

Answers

(A) The equation is:

$63[tex]x[/tex] = $1449 - $315

(B) The labor hours needed to complete the job was 18 hours.

STEPS TO FIND TIME OF THE COMPLETE JOBS

(A) To find the number of labor hours needed to complete the job, we can set up an equation using the information given in the problem.

We know that the total bill was $1449, and $315 of that was for parts. So the remaining amount, $1449 - $315 = $1134, was for labor.

We also know that the hourly rate for labor was $63. To find the number of hours needed for labor, we can divide the amount for labor by the hourly rate:

        $63[tex]x[/tex] = $1449 - $315

        [tex]x[/tex] = ($1134 / $63)

Solving this equation gives us the number of hours needed for labor, which is 18 hours. We can check this by multiplying 18 hours by the hourly rate, which should give us the same amount for labor:

        [tex]x[/tex] = ($1134 / $63)

           = 18 hours

Double check for:

        18 hours × $63 = $1134

This confirms that 18 hours is the correct number of labor hours needed to complete the job.

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NOW IT HAS TO EQUAL TO 100 WHERE DO YOU PUT THE PARENTHESES!!!! HELP QUICK PLS


4+2•3^2

IT HAS TO EQUAL 100

Answers

Answer: (4+2)•(3^2?

Step-by-step explanation: I hope that helps I don't know how to explain but ya. But that's where u put the parentheses.

Answer:

(4+2×3)^(2)

Step-by-step explanation:

First, because parenthesis are being used, we will start by multiplying 2 by 3, giving us 6

(4+6)^(2)

Then, we add 6 to 4

(10)^2

and we then raise 10 to the 2nd power

100

A pyramid has a base area of 44cm and a height of 12. 6 cm what is the volume of the pyramid ?

Answers

Solution:

Pyramids have been a symbol of great architecture inventions of the mankind. Egyptian People were the first once to design pyramids on a very large level.

Let a be the Side of Area of base of Pyramid . The base of a pyramid is a square shaped quadrilateral

The Volume of the Pyramid with base area   and height  is given by the equation (1)

[tex]Volume = (1/3)Ah....(1)[/tex]

[tex]A = a^{2}[/tex]

[tex]a = Side[/tex]

A = [tex]a^{2}[/tex] = [tex]44cm^{2}[/tex]

[tex]h = 12.6[/tex]

Putting these values in equation (1) we get

[tex]Volume = (1/3)X44X12.6[/tex]

[tex]Volume[/tex] [tex]= 184.8cm^{3}[/tex]

Hence , the volume of the pyramid is 184.8cm³

Express the ratio of 300 miles to 25 gallons of gasoline as a unit rate. Simplify your answer. Show your work

Answers

Answer:

1 gallon to 12 miles

Step-by-step explanation:

Distance = 300 miles

Gasoline used = 25 gallons

Expressing as a unit rate :

Distance covered per gallon of gasoline :

Distance / gasoline used

300 / 25

12 miles

Hence, the unit rate is :

1 gallon of gasoline = 12 miles

1 gallon of gasoline will cover 12 miles in distance.

In which pair of numbers does the red number have a greater value?
Circle your answer.
365 or
3,456

Answers

i think the answer is 365 .

What is the probability that this year's graduation will fall on the birthday of exactly one of the 68 Seniors? What is the probability that there is more than one such Senior?

Answers

The probabilities are given as follows:

Birthday of one student: 0.1550 = 15.50%.Birthday of more than one student: 0.0152 = 1.52%.

What is the binomial distribution formula?

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.

The parameter values for this problem are given as follows:

n = 68, as the class is composed by 68 Seniors.p = 1/365, as the year has 365 days, hence the probability of a person having a given day as a birthday is of 1/365.

Hence the probability of one senior having the birthday on the same day as the graduation is of:

P(X = 1) = 68 x 1/365 x (364/365)^67 = 0.1550.

The probability of more than one is given as follows:

P(X > 1) = 1 - P(X <= 1).

In which:

P(X <= 1) = P(X = 0) + P(X = 1)

Hence:

P(X = 0) = (364/365)^68 = 0.8298.P(X = 1) = 68 x 1/365 x (364/365)^67 = 0.1550.

Finally:

P(X <= 1) = 0.8298 + 0.1550 = 0.9848.P(X > 1) = 1 - P(X <= 1) = 1 - 0.9848 = 0.0152.

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Joanie bought a total of 56 presents to put in 7 gift bags.She put 3 pencils and an equal number of stickers in each bag.How many stickers did she put in each bag​

Answers

Answer:

5 stickers were put in each bag.

Step-by-step explanation:

There is a total of 56 presents and 7 gift bags. If she puts three pencils in each bag, 7 times 3 is 21. 56 presents minus 21 pencils is 35 presents left. 35 divided by 7 is 5, so there are 5 stickers in each bag.

Which of the following is not a strategy for finding P-values with the Student t distribution? Choose the correct answer below. O Use a TI-83/84 Plus calculator to find the P-value rounded to at least 4 decimal places. O Use the table in the book with the appropriate number of degrees of freedom to find a range of values containing the P-value. O Use software such as Minitab, Excel, or STATDISK to find the P-value rounded to at least 4 decimal places. O Use the table in the book to find the P-value rounded to at least 4 decimal places

Answers

Use the table in the book to find the P-value rounded to at least 4 decimal places.

It is not possible to find the exact P-value rounded to at least 4 decimal places by using tables, as the P-value is a continuous variable and tables only give a range of values containing the P-value.

The probability that you would have discovered a specific collection of observations if the null hypothesis were true is expressed as a number called the p value, which is determined from a statistical test.

In order to determine whether to reject the null hypothesis, P values are utilised in hypothesis testing. You are more inclined to reject the null hypothesis the smaller the p value.

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Kendra used 6 loaves of bread on an 8 day hiking trip. She wants to know how many loaves of bread she should pack for a 12 day hiking trip if she eats the same amount of bread each day.

Answers

Answer:

9 loaves of bread

Step-by-step explanation:

We know

8 days = 6 loaves of bread

1 day = 0.75 loaves of bread

12 days = 0.75 x 12 = 9 loaves of bread

So, she should pack 9 loaves of bread for a 12-day hiking trip.

Answer: Kendra will need to back 9 loaves of bread for a 12 day hiking trip.

Step-by-step explanation:

Alright, the first step to solve any math problem is to take a look at the information we have. We know that Kendra has eaten through 6 loaves over the course of 8 days. We want to know how much bread she needs if she takes a 12 day hiking trip.

Because she's eating the same amount of bread each day, we need to find out how much of a loaf she eats daily. In order to find that number, we have to divide. In this case, it would be 6/8. (Amount of bread she has/Time taken to eat that bread).

This gives us 0.75. This means that Kendra eats 0.75 of a loaf of bread daily. In order to find out how much bread she needs for a 12 day hiking trip, all we have to do is multiply by 12.

0.75 * 12 = 9.

Kendra will need to back 9 loaves of bread for a 12 day hiking trip.

P.S. You could also do this with fractions by simplifying 6/8 to 3/4 (divide the numerator and denominator by 2, as they're both divisible by 2), and then multiply like 12 in the same way. They both yield the same answer, so it's a matter of preference. I used decimals as I found them easier to work with!

what are the conditions for using the normal approximation for a sampling distribution of proportions g

Answers

The normal approximation for sampling distributions of proportions can be used when the sample size is large enough.

What prerequisites must be met for a sampling distribution of proportions g in order to use the normal approximation?The conditions for using the normal approximation for a sampling distribution of proportions are as follows: The sample size (n) must be sufficiently large (usually 30 or more). The sample proportion (p) should not be close to 0 or 1. The population distribution should be normally distributed.The general rule is that if the sample size (n) is greater than or equal to 30, then the normal approximation can be used. When using the normal approximation for a sampling distribution of proportions, the sample size must be greater than or equal to 30 and the population proportion (p) must be between 5% and 95%. Furthermore, the sample size must be large enough that the expected number of successes (np) and expected number of failures (nq) are both greater than or equal to 10. Finally, the sampling distribution should be approximately normal and the sample should be randomly selected from the population. The normal approximation is a useful tool for estimating confidence intervals and the probability of extreme values, as well as for hypothesis testing. It can be used to estimate the probability of success in a given sample of proportions, which can be helpful when making decisions about a population or understanding the behavior of a system.

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I need help finding the angles for 1, 3, and 6 also thank you!♡​

Answers

Answer:

Step-by-step explanation:

angle 1 = 180- angle 3 (linear pair)

angle 3= angle 6 (alternate interior angles)

Please answer both! Thanks sm :)

Answers

Answer:

1. C= 2(pi)(d/2)

2. C= 2(pi)r

Step-by-step explanation:

The first answer is where you would have to find the radius of the circle if you know the diameter. And to find the radius, you would have to divide the diameter by 2 to get the radius. Welp.... I wish you luck! ;)

The first one is definitely C and the second one is C too

A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results.

Answers

Answer:

where is the other dot plot

Answer:

B, D, and E

Step-by-step explanation:

What is the equation of a circle with endpoints of the diameter at (-8, -5) and (-4, 1) ??

Answers

Answer:(x + 6) + (y + 2)^2 = 13

Step-by-step explanation:

The centre of the circle is halfway along the diameter = (-6, -2)

r^2 = (-4 - -6)^2 + ( 1 - -2)^2 = 2^2 + 3^2 = 13

So circle equation is (x - -6)^2 + (y - -2)^2 = 13

Fernando is tossing bean bags at a target. He hit the target on 6 out of his last 15 tries. What is the experimental probability that Fernando's next toss will be a hit? Write your answer as a fraction or whole number.

Answers

Answer:

6/15

Step-by-step explanation:

sINCE fERANDO hit 6 times and he had 15 tries it is 6/15

-2n = -1 1/4
................................

Answers

Answer:

n = 5/8

Step-by-step explanation:

-2n = -1 1/4

-1 1/4 = -5/4

So, our equation is

-2n = -5/4

Divided both sides by -2

n = 5/8

So, the answer is

n = 5/8

The new athletic
facility on the
downtown campus
measures 0.74 km
by 0.4 km. How
many square
meters is the
facility?

Answers

Answer:

0.296 square km or 296000 square meters

Step-by-step explanation:

first of all to find the area you multiply 0.74 and 0.4 to get 0.296 square kilometers then you multiply by 1 million to convert it to square meters

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