The point (-1,-4) is on the line given by which equation below ?

Mathematics

2 answers:

hammer [34]4 years ago

8 0

Answer:

Step-by-step explanation:

To determine which line the point lies on , substitute the x-coordinate into the equation and if the value of y corresponds to the y-coordinate then the point lies on the line

y = x - 4 = - 1 - 4 = - 5 ⇒ point does not lie on the line

y = - 4x = - 4 × - 1 = 4 ⇒ point does not lie on the line

y = x + 4 = - 1 + 4 = 3 ⇒ point does not lie on the line

y = 4x = 4 × - 1 = - 4 ⇒ point lies on the line

Vlad1618 [11]4 years ago

4 0

Answer:

D. y = 4x

Step-by-step explanation:

y = 4x

Plug in The point (-1,-4) into the equation

when x = -1, y = 4(-1) = -4

So (-1,-4) is the solution of y = 4x

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The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes

andre [41]

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

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

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

In which $\mu = \frac{1}{m}$ 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, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that $m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833$