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Bess [88]
3 years ago
8

A line has a rise of 6 and a slope of 1/20. What is the run?

Mathematics
2 answers:
bonufazy [111]3 years ago
5 0
Rise/Run=(Y-y)/(X-x)

6/Run=1/20=6/120

Say that R=Run

6/R=6/120

720/R=6

6R=720

R=720/6=120

Therefore Run=120.


Luda [366]3 years ago
4 0

Answer:

\boxed{\boxed{\text{Run}=120}}

Step-by-step explanation:

From coordinate geometry we know that, slope is ratio of vertical change rise and the horizontal change run.

Mathematically,

\text{Slope}=\dfrac{\text{Rise}}{\text{Run}}

Putting the given values,

\Rightarrow \dfrac{1}{20}=\dfrac{6}{\text{Run}}

\Rightarrow \text{Run}=6\times 20

\Rightarrow \text{Run}=120

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The probability of winning a lottery by selecting the correct six integers, are

\begin{aligned}&(a) 1.68 \times 10^{-6} \\&(b) 5.13 \times 10^{-7} \\& (c) 1.91 \times 10^{-7} \\&(d)8.15 \times 10^{-8}\end{aligned}

<h3>What is binomial distribution?</h3>

The binomial distribution is a type of probability distribution that expresses the probability that, given a certain set of characteristics or assumptions, a value would take one of two distinct values.

Part (a); positive integers not exceeding 30.

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\frac{\left(\begin{array}{c}6 \\6\end{array}\right)\left(\begin{array}{c}24 \\0\end{array}\right)}{\left(\begin{array}{c}30 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}30 \\6\end{array}\right)}=1.68 \times 10^{-6}

Part (b); positive integers not exceeding 36.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other thirty.

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Part (c); positive integers not exceeding 42.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the 36 other integers.

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Part (d); positive integers not exceeding 48.

To calculate the probability, use binomial coefficients. Choose six of the six accurate integers and none of the other 42.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}42 \\0\end{array}\right)}{\left(\begin{array}{c}48 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}48 \\6\end{array}\right)}=8.15 \times 10^{-8}

To know more about binomial probability, here

brainly.com/question/9325204

#SPJ4

The complete question is-

Find the probability of winning a lottery by selecting the correct six integers, where the order in which these integers are selected does not matter, from the positive integers not exceeding a) 30. b) 36. c) 42. d) 48.

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