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Dafna1 [17]
3 years ago
12

Does a trend line need to pass through all the points in a scatter plot?

Mathematics
2 answers:
Anika [276]3 years ago
4 0

Hi.

The answer is no/false, as long as all the dots in the scatter plot follow the generic pattern of the line, it is fine. The line does not need to touch the dots.

ser-zykov [4K]3 years ago
3 0
No, I have attached an example. However, it should start start about where your first point is.

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A bone fragment has 67% of the parent Pb-210 remaining. The half-life of Pb-210 is 22 years. How old is the bone fragment?
Korolek [52]

To solve this question we will use two important formulas.

The first formula involves the calculation of the decay constant, k which is to be found as:

k=\frac{0.6931}{T_{\frac{1}{2}}}

where T_{\frac{1}{2}} is the half life of Pb-210 which is given to be 22 years in the question.

Thus, k=\frac{0.6931}{22}\approx0.0315

Now, we will use the second formula which is called the function of decay formula and is given as:

N = N_{0} e^{-kt}

where N percentage of Pb-210 remaining in the bone at present, which in our case is 67% or 0.67

N_{0} percentage of Pb-210 to start with, which is always 100% or 1.

Plugging in all these values in the decay formula we are supposed to find the time, t.

0.67=1\times e^{-0.0315t}

Taking natural log on both sides we get:

ln(0.67)=-0.0315t

\approx-0.4005=-0.0315t

\therefore t=\frac{0.4005}{0.0315}

t\approx12.71 years

Therefore the bone fragment is about 12.71 years old.

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4 years ago
Y=-7x + 15 cordinates of the y intercept
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Answer: Don’t quite understand what you are asking but the Y-Intercept = 15, and the slope would be -7. Hope this helps you

Step-by-step explanation:

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Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 24 kg : 28 kg
ella [17]
6/7 is the ratio in simplest form. 
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