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Firdavs [7]
3 years ago
13

According to the partial construction shown, what is the next step in constructing a line parallel to a given line?

Mathematics
2 answers:
Fofino [41]3 years ago
4 0

Answer:

place compass at P and, with compass set to segment AB, draw an arc that intersects line PA.

Step-by-step explanation:

sp2606 [1]3 years ago
3 0

Answer:

Place compass at P and, with compass set to segment AB, draw an arc that intersects line PA ⇒ 2nd answer

Step-by-step explanation:

<em>"I have added screenshot of the complete question as well as the </em>

<em>  diagram"</em>

* <em>Lets revise how to construct a parallel line to a given line</em>

1. Using your straightedge, draw a transversal through point P

  This is simply a straight line which passes through P and intersects

   with the given line

2. Using the construction COPY AN ANGLE, construct a copy of the

   angle formed by the transversal and the given line such that the

   vertex of the copied angle will be point P

3. Draw an arc centered at A and intersecting the given line and the  

   transversal at B and C.

4. <u><em>Draw an arc of the same distance centered at P intersecting the</em></u>

<em>    </em><u><em>transversal at C'</em></u>

5. Use the compass to measure the distance from B to C, and

    with the compass centered at C' scribe an arc whose radius is

    the distance from B to C intersecting the arc from Step 4 at B'.

6. Draw the line from P through B' which is the parallel line to the

   given line

* <em>Now lets solve the problem</em>

- The next step in constructing a line parallel to a given line is

  <u><em>Place compass at P and, with compass set to segment AB, draw </em></u>

<em>    </em><u><em>an arc that intersects line PA.</em></u>

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Answer:

The answer is (5, 2)

Step-by-step explanation:

I. If move left = -x

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3 years ago
An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concen
devlian [24]

Answer:

(a) A 95% confidence interval for the population mean is [433.36 , 448.64].

(b) A 95% upper confidence bound for the population mean is 448.64.

Step-by-step explanation:

We are given that article contained the following observations on degrees of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range:

420, 425, 427, 427, 432, 433, 434, 437, 439, 446, 447, 448, 453, 454, 465, 469.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                              P.Q.  =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean = \frac{\sum X}{n} = 441

            s = sample standard deviation = \sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }  = 14.34

            n = sample size = 16

            \mu = population mean

<em>Here for constructing a 95% confidence interval we have used One-sample t-test statistics as we don't know about population standard deviation.</em>

<em />

<u>So, 95% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-2.131 < t_1_5 < 2.131) = 0.95  {As the critical value of t at 15 degrees of

                                             freedom are -2.131 & 2.131 with P = 2.5%}  

P(-2.131 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.131) = 0.95

P( -2.131 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.131 \times {\frac{s}{\sqrt{n} } } ) = 0.95

P( \bar X-2.131 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.131 \times {\frac{s}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X -2.131 \times {\frac{s}{\sqrt{n} } } , \bar X +2.131 \times {\frac{s}{\sqrt{n} } } ]

                                      = [ 441-2.131 \times {\frac{14.34}{\sqrt{16} } } , 441+2.131 \times {\frac{14.34}{\sqrt{16} } } ]

                                      = [433.36 , 448.64]

(a) Therefore, a 95% confidence interval for the population mean is [433.36 , 448.64].

The interpretation of the above interval is that we are 95% confident that the population mean will lie between 433.36 and 448.64.

(b) A 95% upper confidence bound for the population mean is 448.64 which means that we are 95% confident that the population mean will not be more than 448.64.

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Step-by-step explanation:

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