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Tpy6a [65]
4 years ago
6

If p —> q and q —> r are true conditional statements,

Mathematics
1 answer:
kirill [66]4 years ago
8 0

Answer:

False; this is the law of syllogism.

Step-by-step explanation:

Law of Detachment is:

1) p->q

2) p

------------------------

Conclusion: q

Law of syllogism is:

1) p->q

2) q->r

---------------------

Conclusion: p->r

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Y-3=3(x+1)
Sloan [31]

Answer: x + 3y = 2

Step-by-step explanation:

Given:

y - 3 = 3 ( x + 1 )

y - 3 = 3x + 3

y = 3x + 3 + 3

y = 3x +6

comparing the equation with the formula for finding equation of line in slope - intercept form

y = mx + c , where m is the slope and c  is the y - intercept. This means that the slope of the line above is 3

Two lines are said to be perpendicular if the product of their slope = -1, that is , if m_{1} is the slope of the first line and m_{2} is the slope of the second line , if they are perpendicular , then m_{1}m_{2} = -1

Considering this rule , this means that the slope of the line we are to find = \frac{-1}{3}

Using the formula : y - y_{1} = m ( x - x_{1} ) to find the equation of the line , we have

y - (-1 ) = \frac{-1}{3} ( x - 5 )

y + 1 = \frac{-1}{3} ( x - 5 )

multiplying through by 3 , we have

3 ( y + 1 ) = -1 ( x - 5)

Expanding , we have

3y + 3 = -x + 5

writing the equation in standard form , we have

3y + x = 5 - 3

Therefore :

x + 3y = 2

7 0
3 years ago
What is the most precise name for quadrilateral ABCD with vertices A(-2,4) B(5,6) C(12,4) D(5,2)
Ostrovityanka [42]
I graphed it (and I hoped I did that correctly).
It doesn't seem as if it would have any specific name.

7 0
3 years ago
A savings account is an example of a
Gelneren [198K]

A savings account is an example of a Short-term investment

Real estate is an example of a Long-term investment

A U.S. savings bond is an example of a Long-term investment

A 401(k) account is an example of a Long-term investment

It is correct  just answered it.

7 0
3 years ago
Read 2 more answers
There are 42 children in the classroom each student will get 28 pencils and 46 erasers how many pencils will the teacher have to
Aleksandr-060686 [28]

Since the question is asking how many pencils the teacher will have to give out, we can automatically ignore the 46 erasers from the problem because it is not relevant. The information was most likely put there to confuse you.

Each student is getting 28 pencils, so if we multiply the number of students by 28 pencils, we will find how many pencils the teacher will need to give out.

There are 42 children in the classroom, so multiply 42 by 28.

42 * 28 = 1,176

The teacher will have to give out <u>1,176 pencils</u> to her 42 children in the classroom.

4 0
4 years ago
Read 2 more answers
According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 in
Zolol [24]

Answer:

The probability that the person is between 65 and 69 inches is 0.5403

Step-by-step explanation:

Mean height = \mu = 66

Standard deviation = \sigma = 2.5

We are supposed to find What is the probability that the person is between 65 and 69 inches i.e.P(65<x<69)

Z=\frac{x-\mu}{\sigma}

At x = 65

Z=\frac{65-66}{2.5}

Z=-0.4

Refer the z table for p value

P(x<65)=0.3446

At x = 69

Z=\frac{69-66}{2.5}

Z=1.2

P(x<69)=0.8849

So,P(65<x<69)=P(x<69)-P(x<65)=0.8849-0.3446=0.5403

Hence the probability that the person is between 65 and 69 inches is 0.5403

6 0
3 years ago
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