Mathematics: Which function represents the graph of y=4x−1?

Which function represents the graph of y=4x−1? - id419505239, peperivera2652738

ladybugys

11.02.2022

y=4^x −1

x intercept is the point when y = 0, so you sub in 0 for y:

0 = 4^x - 1

4^x = 1

Any number excluding 0 that is raised to the the exponent 0 always equals 1, 0^0 is undetermined.

x = 0

x intercept = (0,0)

If the x intercept is at the origin (0,0) than the y intercept is also (0,0)

s is the only line that passes through (0,0)

0,0(0 оценок)

gungamer720

30.04.2020

Mean $\mu = \dfrac{1}{\lambda }= 1250$

$\lambda = \dfrac{1}{1250}$

P(X 5000) = 0.0183

P(X 1250) =0.3679

Step-by-step explanation:

From the given information:

a.)

Mean $\mu = \dfrac{1}{\lambda }= 1250$

$\lambda = \dfrac{1}{1250}$

Let consider X to be a random variable that follows an exponential distribution; then:

P(X) = 1 - $e^{- \lambda x}$ since $\lambda 0$

b.)

The required probability that a random chosen customer would spend more than $5,000 can be computed as:

$P(X 5000) = 1 - \bigg [ 1 - e ^{- \dfrac{5000}{1250}} \bigg]$

$P(X 5000) =e^ {-4$

P(X 5000) = 0.0183

c.)

$P(X 1250) = 1 - \bigg [ 1 - e ^{- \dfrac{1250}{1250}} \bigg]$

$P(X 1250) =e ^{- 1$

P(X 1250) =0.3679

0,0(0 оценок)