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3 years ago

15

The relationship between time and the distance remaining one 3 mile walk for someone walking at a steady rate of 2 miles per hou

r

1 answer:

andre [41]3 years ago

8 0

It would take 1 1/2 hour to walk three miles.

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A type of long-range radio transmits data across the Atlantic Ocean. The number of errors in the transmission during any given a

Marianna [84]

Answer:

32.33% probability of having at least 3 erros in an hour.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

The mean number of errors is 2 per hour.

This means that $\mu = 2$

(a) What is the probability of having at least 3 errors in an hour?

Either you have 2 or less errors in an hour, or we have at least 3 errors. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 2) + P(X \geq 3) = 1$

We want $P(X \geq 3)$

So

$P(X \geq 3) = 1 - P(X \leq 2)$

In which

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-2}*(2)^{0}}{(0)!} = 0.1353$

$P(X = 1) = \frac{e^{-2}*(2)^{1}}{(1)!} = 0.2707$

$P(X = 2) = \frac{e^{-2}*(2)^{2}}{(2)!} = 0.2707$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1353 + 0.2707 + 0.2707 = 0.6767$

$P(X \geq 3) = 1 - P(X \leq 2) = 1 - 0.6767 = 0.3233$

32.33% probability of having at least 3 erros in an hour.

6 0

3 years ago

What is the cube root of 3?

PtichkaEL [24]

The cube root of 3 is 1.44224957031

7 0

3 years ago

Read 2 more answers

What is the slope and y-intercept of the equation 6x - 1 = 3y - 10?*

Ad libitum [116K]

Answer:

m = 2, b = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Given

6x - 1 = 3y - 10 ( add 10 to both sides )

6x + 9 = 3y ( divide all terms by 3 )

2x + 3 = y , that is

y = 2x + 3 ← in slope- intercept form

with slope m = 2 and y- intercept b = 3

6 0

3 years ago

A person places $6520 in an investment account earning an annual rate of 2.5%, compounded continuously. Using the formula V = Pe

beks73 [17]

Answer:

The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56

Step-by-step explanation:

The amount is given by

$V = Pe^{rt}$

Given P = $6520

r = 2.5%

t = 3 years

Substituting the given values, we get -

$V = 6520 * e^{2.5*3/100 }\\V = 6520 * 1.078\\V = 7028.56$

The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56

5 0

3 years ago

What is the length of the line segment that begins at (2,6) and ends at (7,6)?

ivolga24 [154]

$\sqrt{(2-7)^2 + (6-6)^2} = \sqrt{25} = 5$

5 0

4 years ago