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Mekhanik [1.2K]
3 years ago
15

What is the answer? Please explain

Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:

y = 7x - 48

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 ) = (6, - 6) and (x₂, y₂ ) = (8, 8)

m = \frac{8+6}{8-6} = \frac{14}{2} = 7, thus

y = 7x + c ← is the partial equation

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

Using (8, 8), then

8 = 56 + c ⇒ c = 8 - 56 = - 48

y = 7x - 48 ← equation of line

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The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is th
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Answer:

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Step-by-step explanation:

Let X be the random variable that measures the time waited for a taxi.  

If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is  

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a)  

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\large P(X>60)=e^{-6}=0.0025

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c)

We want x so that

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We want P(X<x)=0.9

\large 1-e^{-x/10}=0.9\rightarrow e^{-x/10}=0.1\rightarrow x=-10ln(0.1)=23.03\;minutes

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Step-by-step explanation:

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Bruce has a rope that is 21 feet long he needs to cut the rope into 1/5 long pieces.

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Answer:

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Step-by-step explanation:

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