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lisabon 2012 [21]
2 years ago
7

How would you write the name of a segment differently than the name of a line? What symbols would you use?

Mathematics
2 answers:
Ainat [17]2 years ago
6 0

<u>Explanation</u>:

You can write both the name of a segment and the name of a line using two points; for the line, it is two points on the line; for the segment, it is the two endpoints of the segment.

The symbols we use are different for a segment and a line. Let the points on both the segment and the line be AB. For the segment, we draw a line segment (without endpoints or arrows) over the letters:

\overline{AB}

For the line, we draw a line with arrows at each end over the letters:\overleftrightarrow{AB}


il63 [147K]2 years ago
4 0
If the two points of a line segment are A and B, you write it as  AB  with a straight line over the top.    -----
                               AB

If the two points of a line are A and B, you write it as  AB  with a double sided arrow over the top.  <----->
                                   AB

If the two points of a ray are A and B, you write it as  AB  with a one sided arrow over the top (the side with the arrow depends on which way the ray is pointing)
Either:      <-----                 ------>
                  AB       OR        AB
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What is the value of x if g^x-1-2= 25?
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Answer:

Third option: x=\frac{5}{2}

Step-by-step explanation:

<h3> The correct exercise is attached.</h3>

The equation given is:

9^{x-1}-2=25

 The steps to find the value of "x" are shown below:

1. Add 2 to both sides of the equation:

9^{x-1}-2+2=25+2\\\\9^{x-1}=27

2. Descompose 9 and 27 into their prime factors:

9=3*3=3^2\\27=3*3*3=3^3

3. Substitute them into the equation:

3^{2(x-1)}=3^3

4. Knowing that If a^n=b^m, then n=m, we get:

2(x-1)=3

5. Apply Distributive property:

2x-2=3

6. Add 2 to both sides:

2x-2+2=3+2\\\\2x=5

7. Divide both sides of the equation by 2:

\frac{2x}{2}=\frac{5}{2}\\\\x=\frac{5}{2}

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2 years ago
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2 years ago
Suppose the time it takes a barber to complete a haircuts is uniformly distributed between 8 and 22 minutes, inclusive. Let X =
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Answer:

P(X>14)= 1-P(X

And replacing we got:

P(X>14)= 1- \frac{14-8}{22-8}= 0.5714

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Step-by-step explanation:

We define the random variable of interest as x " time it takes a barber to complete a haircuts" and we know that the distribution for X is given by:

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P(X>14)

We can find this probability using the complement rule and the cumulative distribution function given by:

P(X

Using this formula we got:

P(X>14)= 1-P(X

And replacing we got:

P(X>14)= 1- \frac{14-8}{22-8}= 0.5714

The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714

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