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zloy xaker [14]
3 years ago
15

Find the slope of the line​

Mathematics
2 answers:
vladimir1956 [14]3 years ago
7 0

Answer:

The slope is 3

Step-by-step explanation:

Rise / Run

3 / 1

= 3

Leviafan [203]3 years ago
5 0
<h3><u>Explanation</u></h3>
  • Calculate the slope by finding two coordinate points that are part of the graph and use rise over run formula.

(1,3) \:  \:  \: (0,0)

These two coordinate points are part of the graph.

m =  \frac{rise}{run}  \Longrightarrow \frac{y_2 -y_1 }{x_2 - x_1}

m =  \frac{3 - 0}{1 - 0}  \\ m =  \frac{3}{1}  \longrightarrow 3

<h3><u>Answer</u></h3>

<u>\large \boxed{m = 3}</u>

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Right now Seth's age is 4/5 the age of his brother Eric. Twenty-one years ago, Eric was twice as old as Seth. What are their age
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Answer:

          Present Time                                                                

Let X= Eric's age                                                            (4/5)X= Seth's age

Question:  What are their ages now?________________________________________________________________________

                                             Past (21 years ago)

X-21 =Eric's age                                                                (4/5)X-21=Seth's age

2*[4/5(X-21]=Eric's age

Therefore, X-21= 2*[4/5(X)-21]=Eric's age           Substitution

_______________________________________________________________________

X-21= 8/5 X  - 42         Solve for "X" by adding 42 to both sides.

X-21+42=(8/5) X

X+21 = (8/5)X              Subtract "X" from both sides.

21=(3/5)X                    Multiply both sides of equation by reciprocal of (3/5), which is 5/3

21*(5/3)= X                  Finish the problem to find value of "X," which is Eric's age.  

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8 0
2 years ago
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A long novel is opened to a random page; the probability that the page is numbered something between 21 and 31.
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Using the uniform distribution, considering that the novel has 435 pages, the probability that the page is numbered something between 21 and 31 is:

p = \frac{10}{435}

<h3>What is the uniform probability distribution?</h3>

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

Researching the problem on the internet, it is found that the novel has 435 pages, hence a = 0, b = 435, and the probability that the page is numbered something between 21 and 31 is given by:

P(21 \leq X \leq 31) = \frac{31 - 21}{435 - 0} = \frac{10}{435}

More can be learned about the uniform distribution at brainly.com/question/13889040

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