(L5) A(n) _____ is an argument that begins with the assumption that a conclusion is false, then uses logical reasoning to show that the assumption leads to a contradiction.

Answers

Answer 1

The term that completes the blank in this question is "contradiction." A contradiction is a statement that is logically inconsistent with other statements, making it impossible for all of them to be true at the same time. In the context of arguments, a contradiction can be used to show that a certain assumption or conclusion is false.

The type of argument described in the question is known as a reductio ad absurdum, which translates to "reduction to absurdity" in Latin. In this type of argument, the arguer assumes the opposite of the conclusion they want to prove, and then shows that this assumption leads to a contradiction. This contradiction then proves that the original assumption was false, and therefore the original conclusion is true.

For example, if someone argued that all cats are black, someone could use reductio ad absurdum to show that this is not true. They would assume that all cats are black, and then show that this assumption leads to a contradiction. They might point out that some cats are white, which contradicts the original assumption. Therefore, the original assumption must be false, and the conclusion that all cats are black is also false.

Overall, reductio ad absurdum is a powerful tool in logical reasoning, allowing us to prove that certain assumptions or conclusions are false by demonstrating that they lead to logical contradictions.

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Related Questions

in a secong grade class there are 7 boys there are as twice as much girls how many students are in that class

Answers

Answer:

I think the answer is 21 students

Step-by-step explanation:

I think it's 21 students because it said twice as much girls which is telling us to multiply 7 by 2 or 7 plus 2 and in this case the product/sum would be 14, and now we add 7 boys by 14 girls and that will be 21 students altogether.

-Hope this helps

A father opened a savings account for his daughter on the day she was born, depositing $1000. Each year on her birthday he deposits another $1000, making that last deposit on her 24th birthday. If the account pays 5.25% interest compounded annually, how much is in the account at the end of the day on his daughter's 24th birthday? How much interest has been earned?

Answers

At the end of the day on the daughter's 24th birthday, there will be approximately $24,764 in the account.

To calculate the amount in the account at the end of the day on the daughter's 24th birthday, we need to consider the yearly deposits and the compounded interest.

The initial deposit was $1000. Then, for the next 23 years (from the daughter's 1st birthday to her 23rd birthday), the father made additional deposits of $1000 each year. This gives us a total of 23 * $1000 = $23,000 in deposits.

Now, let's calculate the amount of interest earned. The interest rate is 5.25%, compounded annually. Since the interest is compounded annually, the total number of compounding periods is also 23 (from the daughter's 1st birthday to her 23rd birthday).

To calculate the interest earned, we use the formula:

Interest = Principal * (1 + Interest Rate)^Number of Periods - Principal

Principal = $1000

Interest Rate = 5.25% or 0.0525

Number of Periods = 23

Interest = $1000 * (1 + 0.0525)^23 - $1000

Now, let's calculate the values:

Interest = $1000 * (1.0525)^23 - $1000

Interest ≈ $1000 * 1.764 - $1000

Interest ≈ $764

Therefore, the interest earned is approximately $764.

To find the total amount in the account at the end of the day on the daughter's 24th birthday, we add the deposits and the interest earned:

Total amount = Initial deposit + Deposits + Interest earned

Total amount = $1000 + $23,000 + $764

Total amount ≈ $24,764

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I Need Help! Please!
Alex is only paid commission on his sales at Juniper Motor Company. In November, Alex earned $21,563 on his total sales of $204,865.

What is his rate of commission?______% ( Round to the nearest tenth of a percent)

Answers

Answer:

the answer is 10.52547%

Step-by-step explanation:

A company ships a cube with side lengths of 2 feet in a crate that is a larger cube with side lengths of 4 feet. Packing material is placed around the smaller cube.

Which expression can be used to find the volume of the part of the larger cube that is filled with packing material?
A. 4²-2²

B. 4³-2³

C. (4-2)²

D. (4-2)³

Answers

Answer:

yeah tbh i wanna know to

Step-by-step explanation:

sorry

would the sample size be large enough if the population is school-aged children and young adults in the united states? explain in 2-3 sentences.

Answers

Yes, the sample size would be large enough if the population is school-aged children and young adults in the United States as this is a simple random sampling.

Simple random sampling is used for randomly selecting the sample size for research. No member in the population has a higher chance in comparison to others for selection in sampling. Every individual has an equal chance to be a part of the sample for the study. This is a type of probability sampling method.

The probability sampling method states that every individual has a fair and equal chance to be selected as a research sample. It includes simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Here the researchers have picked around 150 students and young adults which is an appropriate amount of simple random sample for the study.

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question in link below

question in link below

Answers

Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

Describe and correct any error a student may have made when solving the equation
0.15(y -0.2)=2-0.5(1-y).

Describe and correct any error a student may have made when solving the equation0.15(y -0.2)=2-0.5(1-y).

Answers

Answer:

The student made an error during the distributive property in the second step where they multiplied 0.15 by -0.2 to equal -0.3 when it should have been -0.03.

Step-by-step explanation:

\(0.15(y-0.2)=2-0.5(1-y)\\0.15y-0.03=2-0.5+0.5y\\0.15y-0.03=1.5+0.5y\\100(0.15y-0.03)=100(1.5+0.5y)\\15y-3=150+50y\\15y-3-15y-150=150+50y-15y-150\\-153=35y\\-\frac{153}{35}=y\)

the hour property of the datetime structure stores the hour as an integer between 1 and 24. question 47 options: true false

Answers

False. The hour property of the datetime structure stores the hour as an integer between 0 and 23.

To support varied needs, three different property types are available:

1. Date — A day of the Gregorian calendar, without reference to a time zone or locale. The unit is a whole day, such as July 23, 2006.

2. Time of Day — A time of day, without reference to a time zone or locale. The unit is seconds, such as 15 seconds after 1:25 P.M.

3. Date Time — A date and time, stored internally to the millisecond if available, in a known time zone. For example 15.452 seconds after midnight on July 23, 2006 in London, U. K.

When presented with a DateTime value, a corresponding date and a time-of-day (in a specified time zone) can be determined.

However, the converse is not usually true: when starting with a Date and a TimeofDay value, multiple differing but "correct" DateTime values can be constructed, depending on assumptions about time zone, Daylight Savings Time, and other considerations. For example, when the date is January 1 in London, it can be December 31 in New York.

Thus, the given statement is false.

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suppose a frequency distribution has the following consecutive classes: $20 up to $30 $30 up to $40 $40 up to $50 what is the class midpoint for the first class?

Answers

Answer:25

Step-by-step explanation:

If the binomial (x−7) is a factor of the polynomial function f(x), which statement must be true?

Answers

If the binomial (x−7) is a factor of the polynomial function f(x), then the true statement is f(7) = 0

How to determine the true statement?

The given parameters are

The binomial (x−7) is a factor of the polynomial function f(x)

The above means that

When the function f(x) is divided by x - 7, it has no remainder

So, we have

x - 7

Set to 0

x - 7 = 0

Add 7 to both sides

x = 7

Substitute x = 7 in f(x) = 0

f(7) = 0

Hence, if the binomial (x−7) is a factor of the polynomial function f(x), then the true statement is f(7) = 0

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how to find the initial value of an exponential function

Answers

a = y2 / (b^x2) ,To find the initial value of an exponential function, you can use the formula y = a * b^x, where y represents the final value, a represents the initial value, b represents the base, and x represents the exponent.

To solve for the initial value (a), you need to have at least two points on the exponential function. Let's say you have the point (x1, y1) and (x2, y2).

Step 1: Substitute the values of x1, y1, x2, and y2 into the formula y = a * b^x.

Step 2: Since the goal is to find the initial value (a), we can set up two equations using the given points.

For the first point (x1, y1):
y1 = a * b^x1

For the second point (x2, y2):
y2 = a * b^x2

Step 3: Divide the second equation by the first equation to eliminate the base (b):

y2/y1 = (a * b^x2) / (a * b^x1)

Step 4: Simplify the equation:

y2/y1 = b^(x2 - x1)

Step 5: Take the logarithm of both sides of the equation to isolate the exponent (x2 - x1):

log(y2/y1) = (x2 - x1) * log(b)

Step 6: Solve for (x2 - x1):

(x2 - x1) = log(y2/y1) / log(b)

Step 7: Substitute the value of (x2 - x1) into either of the original equations to solve for a:

a = y1 / (b^x1)

or

a = y2 / (b^x2)

Remember to use the same base (b) in all calculations. This will help you find the initial value (a) of the exponential function.
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the triangular prisms shown below are silmilar. what is the values of x and y

Answers

The values of x is and y is , as it is given than the given triangular prisms on the basis of similarity or proportionality.

What are similar figures?

The similar figures or polygons are those having equal interior angles but the sides of the similar ploygons are proportional. On the other hand congruent figures or polygons are those which have all angles and sides same or equal.

Given dimensions of triangular prisms:

8 cm proportional to 4 cm

14 cm proportional to x cm

20 cm proportional to y cm

As they are proportional & similar, their ratio would be same.

\(\frac{8}{4} = \frac{14}{x} = \frac{20}{y}\)

On equating first and second ratio,

\(\frac{8}{4} = \frac{14}{x}\)

x = \(\frac{4}{8}\) × 14

x = 7 cm.

On equating first and third ratios:

\(\frac{8}{4} = \frac{20}{y}\)

y = \(\frac{4}{8}\) × 20

y = 10 cm.

The values of x and y are 7 cm and 10 cm.

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Refer to the figure attached below.

the triangular prisms shown below are silmilar. what is the values of x and y

true or false: the residuals from a linear regression analysis on any possible dataset (with more than 1 observation) will add up to 0.

Answers

The statement is False. The residuals will not necessarily add up to 0.

The residuals from a linear regression analysis are the differences between the observed values of the dependent variable and the predicted values of the dependent variable. Therefore, the sum of the residuals will depend on the data and the model used. If the model is a perfect fit, then the sum of the residuals will be 0. However, in most cases, the model will not be a perfect fit and the sum of the residuals will not be 0. Therefore, it is not true that the residuals from a linear regression analysis on any possible dataset (with more than 1 observation) will add up to 0.

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Let X have the Chi-Square pdf with 10 degrees of freedom. What is the probability that X is equal to 3.94

Answers

The probability that X is equal to 3.94 is approximately 0.0286.

Since X follows a chi-square distribution with 10 degrees of freedom, its probability density function (pdf) is given by:

\(f(x) = (1/2^(10/2) * Gamma(10/2)) * x^(10/2 - 1) * e^(-x/2)\)

where Gamma() is the gamma function.

To find the probability that X is equal to 3.94, we need to evaluate the pdf at that value, i.e., we need to find f(3.94). Plugging in the values, we get:

\(f(3.94) = (1/2^(10/2) * Gamma(10/2)) * (3.94)^(10/2 - 1) * e^(-3.94/2)\)≈ 0.0286

So the probability that X is equal to 3.94 is approximately 0.0286. Note that since X is a continuous random variable, the probability of it taking any particular value is zero. However, we can still talk about the probability of X being within a certain range or interval.

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Mr. Clark claims that he has a coin that is weighted so that the probability of heads is 40%. To test this, his students flip the coin 200 times and calculate the relative frequency of heads and tails.
Outcome Heads Tails
Relative frequency 0.38 0.62
Select from the drop-down menus to correctly complete each statement.
The relative frequency of heads is
A.reasonably close to
B.very different from
40%.
Mr. Clark's claim about the theoretical probability is likely to be
A.true
B.false

This means that the theoretical probability of tails is most likely
A.0.50
B.0.60
C.0.70

Answers

The relative frequency of heads is reasonably close to 40%.Mr. Clark's claim about the theoretical probability is likely to be false. This means that the theoretical probability of tails is most likely 0.60.

The relative frequency is the ratio of the number of times an event occurred to the total number of trials. In this case, the relative frequency of heads is 0.38 and tails is 0.62.The theoretical probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Here, Mr. Clark claims that the coin is weighted so that the probability of heads is 40%. Therefore, the theoretical probability of heads is 0.40.However, the relative frequency of heads after 200 trials is only 0.38, which is reasonably close to 0.40. Hence, the relative frequency of heads is reasonably close to 40%.

Mr. Clark's claim about the theoretical probability of heads is likely to be false because the relative frequency of heads is less than the theoretical probability of heads (0.38 < 0.40).Therefore, the theoretical probability of tails is 1 - 0.40 = 0.60 because the coin is fair, so the probabilities of heads and tails should add up to 1. Thus, the theoretical probability of tails is most likely 0.60.

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When an alternating current of frequency f and peak current I_0 passes through a resistance R, then the power delivered to the resistance at time t seconds is P = I^2_0 R sin^2 2 pi ft. Write an expression for the power in terms of csc^2 2 pi ft. P = I^2_0 R/(csc^2 2 pi ft) P = I^2_0 R (csc^2 2 pi ft) P = I^2_0/(1 - csc^2 2 pi ft) P = I^2_0 R(1 - csc^2 2 pi ft)

Answers

The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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Line v has an equation of y=–1/5x+9. Line w includes the point (–10,1) and is parallel to line v. What is the equation of line w?

Answers

The equation of the line passing through point (-10,1) and parallel to

y = -1/5x+9 is y = -1/5 x -1

What is slope?

The slope of a line is a number that describes both the direction and the steepness of the line.

Given that, Line v has an equation of y = -1/5x+9. Line w includes the point (-10,1) and is parallel to line v.

The standard equation of a line is: y = mx+c

Where, m is the slope and c is the constant,

We know that when two lines are parallel, their slopes are equal.

Therefore, slope of line v = slope of the line w = -1/5

Finding the constant c, for line w,

Since, the line is passing through point (-10,1), then,

1 = -1/5x-10+c

c = 1-2

c = -1

Hence, the equation of line w is y = -1/5 x -1

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camila drew a triangle with a side that is 24 inches long and a side that is 18 inches long. which of the following could be the length of the third side of a triangle that camila drew?

Answers

Formula: a^2+b^2=c^2
Plug in: 24^2+18^2=c^2
Exponents: 576+324=c^2
Add: 900=c^2
Square root: c=30
So the answer is 30 inches

Which r-value represents the weakest correlation

a.-0.75 ,

b. -0.27,

c. 0.11,

d. 0.54

Answers

The weakest correlation is represented by the value of c. 0.11.

The weakest correlation is represented by the value that is closest to zero, as it indicates a weaker relationship between the variables. In this case, the answer is: c. 0.11

A correlation coefficient of 0.11 is closer to zero than the other options provided, indicating a weaker correlation compared to the rest. The negative values (-0.75 and -0.27) represent negative correlations, but their magnitudes are larger than 0.11, making them stronger correlations (although still considered weak in general). The positive value of 0.54 represents a moderate positive correlation.

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HELP ME PLEASE! Lina invested $7,800 in a mutual fund at a simple interest rate of 4.35%. She earned $1,696.50 in interest. How long (in years) was the money invested?
Round to the nearest tenth of a year if needed.

Answers

The number of years for which the money was invested is 5.0 years

Simple Interest

From the question, we are to determine how long (in years) the money was invested

From the given information,

Lina invested $7,800 at a simple interest rate of 4.35%

and

She earned $1,696.50 in interest

From the formula for simple interest

I = PRT

Where I is the simple interest

P is the principal

R is the rate

and T is the time in years

From the given information,

I = $1,696.50

P = $7,800

R = 4.35% = 0.0435

Thus,

1696.50 = 7800 × 0.0435 × T

1696.50 = 339.3 × T

T = 1696.50/339.3

T = 5.0 years

Hence, the money was invested for 5.0 years

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Divide. Write your answer as a decimal.

8.722÷(−3.56)=​

Answers

Answer:

-2.45

Step-by-step explanation:

Answer:

-2.45

Step-by-step explanation:

Maureen is in charge of renting a climbing wall for the school’s fundraiser. The equation y = 170x represents the total cost of renting a climbing wall from Company A. The table shows the relationship between cost and rental time for Company B. The graph shows the relationship for Company C. Which company, if any, offers the best deal? Explain.

GRAPH COMPANY B:
2 340
3 510
4 680
5 850

GRAPH COMPANY C:
2 350
3 525
4 700
5 875

PLEASE EXPLAIN NOT ONLY SAYING WHICH COMPANY ONLY??!!

Answers

Answer:

Company A and B

Step-by-step explanation:

For company A- 170 is the cost for one hour

For company B- 170 is the cost for one hour

For company C- 175 is the cost for one hour

So company A and B offer the best deal since they both offer $170 per hour.

PLEASE HELP!!! PLEASE NO LINKS

PLEASE HELP!!! PLEASE NO LINKS

Answers

Answer: 624

Step-by-step explanation:

12 times 8 is 96 and 96 divided by 2 is 48 and 48 times 13 is 624

1 Find the area of the circle below: 4 cm​

Answers

Answer:

\(A = 16\pi\)cm

Step-by-step explanation:

Area of a circle equation:

\(A = \pi r^2\)

Plug in r = 4cm and solve:

\(A = 16\pi\)cm

Answer:

ok so if its the radius:

50.27cm

if its the diameter:

12.57cm

Step-by-step explanation:

What is the value of the expression below when z = 3?
z²+z+7

Answers

Answer:

19

Step-by-step explanation:

3^2+3+7

9+3+7

12+7

19

Hopes this helps please mark brainliest

the correct answer to this is 19. this is because z+z+7

Which of the following Is true regarding the normal distribution? Select one:
a. It is asymmetrical
b. It is bimodal
c. Mean, is not equal to median and mode equal to mean
d. Mean, median and mode are all equal
e. Z = + Or - 3

Answers

Answer: d. Mean, median and mode are all equal.

Step-by-step explanation:

Father is four times the age of his daughter. If after 5 years, he would be 3 times of daughter's age, then further after 5 years, how many times he would be of his daughter's age?

Answers

Answer:

The father is 40 years old, and his daughter is 10 years old.

Step-by-step explanation:

Given that a father is four times the age of his daughter, and after 5 years, he would be 3 times of daughter's age, then further after 5 years, to determine how many times he would be of his daughter's age, the following calculation must be done:

F = 4D

F + 5 = 3D

F = 40

D = 10

40 + 5 = 3 x (10 + 5)

45 = 45

Therefore, the father is 40 years old, and his daughter is 10 years old.

7) What does a multiplier of \( 1.2 \) mean?

Answers

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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a sum of money was equally distributed among some boys
had there been 10 boys more​

Answers

Answer:

I think I know what question you are trying to write because it sounds like the question I did years ago.

It is Rs 200

Step-by-step explanation:

Your welcome! :)

Rs 200 ? it just reminds me of my old homework

could someone pls explain how to solve this? question is in picture provided

could someone pls explain how to solve this? question is in picture provided

Answers

Answer:

Hey there, here's your answer hope it helps you!

thank you

could someone pls explain how to solve this? question is in picture provided
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