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3 years ago

10

Write the equation of the line through (6,4) that is parallel to the line whose equation is y= 1/2 x+7. Show all work below and

place it in Slope Intercept Form.

1 answer:

soldier1979 [14.2K]3 years ago

5 0

Answer:

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

Step-by-step explanation:

4 = ½[6] + b

3

$\displaystyle 1 = b \\ \\ y = \frac{1}{2}x + 1$

I am joyous to assist you anytime.

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Leya [2.2K]

Answer:

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b) 52.76% probability that a person waits for less than 3 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \lambda e^{-\lambda x}$

In which $\lambda = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

In this question:

$m = 4$

a. Find the value of λ.

$\lambda = \frac{1}{m} = \frac{1}{4} = 0.25$

b. What is the probability that a person waits for less than 3 minutes?

$P(X \leq 3) = 1 - e^{-0.25*3} = 0.5276$

52.76% probability that a person waits for less than 3 minutes

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3 years ago