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Marina86 [1]
2 years ago
6

Find the equation of the line shown. please I need it soon as possible​

Mathematics
2 answers:
Taya2010 [7]2 years ago
6 0

Answer:

y = \frac{1}{2} x + \frac{1}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = \frac{1-0}{1-(-1)} = \frac{1}{1+1} = \frac{1}{2} , then

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 1 ) , then

1 = \frac{1}{2} + c ⇒ c = 1 - \frac{1}{2} = \frac{1}{2}

y = \frac{1}{2} x + \frac{1}{2} ← equation of line

Anna35 [415]2 years ago
5 0

Answer:

Y=2x+0.5

Step-by-step explanation:

The gradient is 2/1=2x

The y-intercept looks to be around 0.5

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30 POINTS PLEASE ANSWER CORRECTLY AND CLEARLY THANK YOU!
TiliK225 [7]

Answer:

B

Step-by-step explanation:

The investment grows by 12 percent every year. Therefore, if you multiply the 1500 by 0.12 you should get the value of the amount of extra money made in one year. If you substitute 2 into t you get the value increased by year 2 and so on.

5 0
2 years ago
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Which equation represents the function notation for the equation y = 5x + 4?
alexandr402 [8]

Answer:

f(x) = 5x + 4

Step-by-step explanation:

5 0
2 years ago
How do you solve for B in 65pi=B5?
Bingel [31]
So assuming pi represents 1 term or the ratio of the diameter to the circumfernce and B5 means B times 5 and not B^5

65pi=B5
divide both sides by 5
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6 0
3 years ago
Jorge scored 18 out of 45 free throws. What decimal
katen-ka-za [31]

Answer:

0.4 (not rounded)

Step-by-step explanation

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GCF(18,45) = 9

18÷945÷9=25

We know that

25

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2÷5

Then using

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6 0
2 years ago
b) Would you consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone​ e
PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

Hello!

<em>Full text</em>

<em>In a national survey college students were​ asked, "How often do you  wear a seat belt when riding in a car driven by someone​ else?" The response frequencies appear in the table to the right.​ (a) Construct a probability model for​ seat-belt use by a passenger.​ (b) Would you consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone​ else? </em>

<em>Response , Frequency   </em>

<em>Never  102 </em>

<em>Rarely  319 </em>

<em>Sometimes  524 </em>

<em>Most of the time  1067 </em>

<em>Always  2727 </em>

n= 102+319+524+1067+2727= 4739

<em> ​(a) Complete the table below. </em>

<em>Response </em>

<em>Probability  </em>To calculate the probability for each response you have to divide the frequency of each category by the total of people surveyed:

<em>Never </em> P(N)= 102/4739= 0.0215

<em>​(Round to the nearest thousandth as​ needed.) </em>

<em>Rarely </em> P(R)= 319/4739= 0.0673

<em>​(Round to the nearest thousandth as​ needed.) </em>

<em>Sometimes </em> P(S)= 524/4739= 0.1106

<em>​(Round to the nearest thousandth as​ needed.) </em>

<em>Most of the time  </em>P(M)= 1067/4739= 0.2252

<em>​(Round to the nearest thousandth as​ needed.) </em>

<em>Always  </em>P(A)= 2727/4739= 0.5754

<em>​(Round to the nearest thousandth as​ needed.) </em>

<em />

<em>​(b) Would you consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone​ else? </em>

<em>A. </em>

<em>​No, because there were 102  people in the survey who said they never wear their seat belt. </em> Incorrect, an event is considered unusual if its probability (relative frequency) is low, you cannot know if it is usual or unusual just by looking at the absolute frequency of it.

<em>B. </em>

<em>​Yes, because ​P(never) < 0.05. </em> Correct

<em> C. </em>

<em>​No, because the probability of an unusual event is 0.    </em>Incorrect, the probability of unusual events is low, impossible events are the ones with probability zero

<em>D. </em>

<em>​Yes, because 0.01 < ​P(never) <  0.10. </em>Incorrect, by the definition an event is considered unusual when its probability is equal or less than 5%.

I hope this helps!

3 0
3 years ago
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