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MrRissso [65]
3 years ago
9

If possible, use the Law of Detachment to draw a conclusion from the 2 given statements. If not possible, write not possible.

Mathematics
2 answers:
Luda [366]3 years ago
7 0

Answer:

A. 3x-4=5.

Step-by-step explanation:

We are given two statements

Statement 1:if x=3 then 3x-4=5.

Statement 2: x=3

Law of detachment: if two statements are given

Statement: if p , then q.

Statement 2: p

Then conclusion: q

Using law of detachment to draw a conclusion

by comparing given statements with the statements of law of detachment then we get

p:x=3

q: 3x-4=5

Conclusion: q

Conclusion: 3x-4=5

Hence, the conclusion is possible and conclusion is 3x-4=5.

rodikova [14]3 years ago
4 0
The best and most correct answer among the choices your question about Law of Detachment provided here is the first choice or letter A. <span>a. 3x - 4 = 5. It is the answer because it draws the conclusion among the two statements about the law. I hope it has come to your help.</span>
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Jace's car used 14 gallons to travel 378 miles. How far can he travel on 13 gallons?
nata0808 [166]

Answer:

351 miles

Step-by-step explanation:

14 gallons for 378 miles  = 1 gallon for 27 miles

1 * 13 gallons = 27 * 13 miles

13 gallons = 351 miles

6 0
2 years ago
A circle with a radius of 5 cm has an area of 25π cm2. Which is the best approximation for the area of one-half of this circle?
kotegsom [21]

Answer:

A

Step-by-step explanation:

π=3.14159...

Full circle are 25π cm² = 25*3.14=78.5 cm²

Half 78.5 cm²/2 = 39.25 cm²

4 0
2 years ago
The perimeter of a rectangle is 4040 yards. what are the dimensions of the rectangle with maximum area?
Ivanshal [37]
Let x be the length and y be the width2x + 2y = 40x + y = 20change that into y = mx + b formy= 20 – x
Area =xy = x (20-x) = 20x - x^2Area=-x^2+20xcomplete the square:Area=-(x^2 – 20x + 100) +100=-(x - 10)^2 + 100This is an calculation of a parabola that opens downward with vertex at (10,100), which means maximum area of 100 happens when x, the length=10)Dimensions of the rectangle with maximum area? 10 yds. by 10 yds., a square.
8 0
3 years ago
The number of typing errors made by a typist has a Poisson distribution with an average of two errors per page. If more than two
wlad13 [49]

Answer: 0.6767

Step-by-step explanation:

Given : Mean =\lambda=2 errors  per page

Let X be the number of errors in a particular page.

The formula to calculate the Poisson distribution is given by :_

P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}

Now, the probability that a randomly selected page does not need to be retyped is given by :-

P(X\leq2)=P(0)+P(1)+P(2)\\\\=(\dfrac{e^{-2}2^0}{0!}+\dfrac{e^{-2}2^1}{1!}+\dfrac{e^{-2}2^2}{2!})\\\\=0.135335283237+0.270670566473+0.270670566473\\\\=0.676676416183\approx0.6767

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6 0
3 years ago
Need Assistance With This<br>*Please Show Work*​
artcher [175]

Answer:

a =7.5

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

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Subtract 100 from each side

a^2 = 56.25

Take the square root of each side

sqrt(a^2) = sqrt( 56.25)

a =7.5

3 0
3 years ago
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