A basketball court is a rectangle that is 28 m long and 15 m wide. A diagram on a coordinate plane shows a

Traffic flow is traditionally modeled as a Poisson distribution.A traffic engineer monitors the traffic flowing through an inter

babymother [125]

Answer:

There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

Step-by-step explanation:

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.

In this problem, we have that:

A traffic engineer monitors the traffic flowing through an intersection with an average of 6 cars per minute. So in 2 minutes, 12 cars are expected to flow through the intersection.

If 75% of vehiclesare from state, what is the probability that during next 2 min exactly 5 cars passing an intersection are from state?

We want to know how many of these cars are from state. In 2 minutes, 0.75*12 = 9 cars from the state are expected to pass the intersection, so $\mu = 9$ .

We want to find P(X = 2).

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

$P(X = 5) = \frac{e^{-9}*9^{5}}{(5)!} = 0.0607$

There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

7 0

3 years ago

Find out the values of x and y from the following ordered pairs<br> (2x – 2, y – 1) = (x + 3, 4)

Hoochie [10]

Answer:

x=1

y=-1

Step-by-step explanation:

hope it will help you

5 0

2 years ago

21) Answer the question using the information given. Special cube-shaped dice are manufactured having side lengths of in. The di

Elenna [48]

Answer: Hello your question is missing some details but I will provide a general solution based on the scope of the problem and you can plugin the missing value

answer = Volume of rectangular prism box / volume of cube

Step-by-step explanation:

To determine the number of Dice that will fit in the rectangular prism box

First : calculate the volume of the cube box ( dice )

volume of a Cube box : V = L^3 where L = side length

next : calculate the volume of the rectangular prism box

volume of rectangular prism box = L * b * h

L= length , b = width , h = height

final step : Divide the volume of the rectangular prism box by the volume of the cube box ( dice )

= ( L * b * h ) / ( L^3 )

7 0

3 years ago

Which equation is true?

enot [183]

Lets solve all of these:-

#1

√361 = 361 · 2

?
√361 = 361 · 2
√361 = 19
361 · 2 = 722

19 ≠ 722
So this equation is not true

#2:-

√361 = 19²

?
√361 = 19²
√361= 19
19² = 19 · 19 = 361

19 ≠ 361
So this equation is not true

√361 = 361 ÷ 2

?
√361 = 361 ÷ 2
√361 = 19
361 ÷ 2 = 180.5

√361 ≠ 361 ÷ 2
So this equation is not true

√361 = √19²
√361 = 19
√19² = 19

19 = 19

SO the last one is right. Hope I helped ya!! xD

4 0

3 years ago

Show √7 , √5 on a number line. <br><br>please hurry up my cissy and oppa<br>

tankabanditka [31]

Answer:

Draw the number line like in the picture.

Step-by-step explanation:

√5 is about 2.236, meaning it's kind of close to 2.25.

√7 is about 2.646, meaning it's very close to 2.625.

5 0

2 years ago