1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
11111nata11111 [884]
3 years ago
15

The average number of tunnel construction projects that take place at any one time in a certain state is 3. Find the probability

of exactly five tunnel construction projects taking place in this state.
Mathematics
1 answer:
slega [8]3 years ago
6 0

Answer: 0.1008188

Step-by-step explanation:

The question will usng the poisson distribution formula:

Given :

Mean(λ) number of occurrence in a given interval = 3

P(X=x) = Probability of exactly x occurrence in a given interval

Number of desired occurence(x) = 5

P(X=x) = [(λ^x) * (e^-λ)] / x!

Where ; e = base of natural logarithm = 2.7182818

P(X=5) = [(3^5) * (e^-3)] / 5!

P(X=5) = [(243) * (0.0497870)] / 120

P(X=5) = [12.098257] / 120

P(X=5) = 0.1008188

You might be interested in
The cost of a t-shirt is 8.50. David has $50 with him. How many t-shirt can he buy?​
anzhelika [568]
50÷8.5 = 5.88 but since we can’t have .88 of a person the answer would be five T-shirts
3 0
1 year ago
Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.1
NeTakaya

Answer:

22 square feet

Step-by-step explanation:

Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.

Area of circle = 3.14 × r × r

r = 10 ÷ 2

= 5

Area of circle = 3.14 × 5 × 5

= 78.5

Area of square = length × length

Area of square = 10 × 10

= 100

Area of shaded region = Square - Circle

= 100 - 78.5

= 21.5

= 22 (to the nearest square foot)

I hope this helps :)

7 0
2 years ago
¿Cuál es el peso total en kilos de los dulces?<br>A<br>2<br>3<br>B<br>oln​
Doss [256]

pesan 3kilos.

3/1=0.3kilos

4 0
2 years ago
Which properties justify the steps taken to solve the system?
Nutka1998 [239]

Answer:

X=-1

Y=1

Step-by-step explanation:

6x-12y

-18

) 6x + 4y

-

-2

Subtract the two equations

6x - 12y - (6x + 4y) = -18 - (-2)

Determine the sign

6x- 12y - 6x- 4y

=-18 + 2

Simplify

-12y

- Ay

=-18 + 2

Solve the equation

Substitute

6×+4

-2

Solve the equation

X=

6 0
2 years ago
Simplify (7x)- (-2x).<br><br> A 5x<br><br> B-5x<br><br> C9x<br><br> D-9x
WITCHER [35]
You answer is C because 7-(-2) is 9 and then u just had an X at the end .

Hope this helps:)
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the length of the hypotenuse of the right triangle ABC in the figure
    14·1 answer
  • When a figure is translated, what is true, compared to the preimage of the figure
    12·1 answer
  • Calculate 6 3/4% tax on $2,305.<br> a. $15.56 <br> b. $145.22 <br> c. $146.14 <br> d. $155.59
    5·2 answers
  • Give three examples of how percents are used in the real world????
    8·2 answers
  • Solve on the interval [0,2pi): 2cscx+5=1
    9·2 answers
  • What is the x-intercept of a line that has the following equation 2y=3x-6
    8·1 answer
  • Which of the given functions could this graph represent?
    15·2 answers
  • The volume of a cylinder is 47x3 cubic units and its height is x units.
    6·1 answer
  • Make h the subject of the relation V=1/3πr²h
    15·1 answer
  • I will give brainliest
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!