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
QveST [7]
2 years ago
10

The manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable

. In fact, the times are exponentially distributed with a mean of 7.5 minutes. What is the probability that a car can complete the transaction in less than 5 minutes?
Mathematics
1 answer:
maw [93]2 years ago
7 0

Answer: 0.49

Step-by-step explanation:

The mean= E[x]=1/l= 7.5 min

l=1/7.5 =10/75=2/15

The exponential distribution's  probability density function is looking like that:

F(x)= l*e^(-l*x) = 2/15*e^(-2*x/15)

P(0<x<5)= e^(-0*2/15)- e^(-5*2/15)=1- e^(-2/3)= approx 0.49

You might be interested in
The area of a triangle is 1,4440 cm^2. The base of the triangle is 5 times the height. What is the height of the triangle?
DochEvi [55]

Answer:

h = 24 cm

Step-by-step explanation:

The formula for area of a triangle is

A = (1/2)bh     where b is the base and h is the height.

We are told that the base is 5 times the height, this translates to

b = 5h, so we can rewrite our formula to

A = (1/2)(5h)(h)  or

A = (1/2)5h²

We are given A = 1,440, so plug that in and solve for h...

1,440 = (1/2)5h²

    2,880 = 5h²    (multiply both sides by 2 to get rid of the fraction)

      576 = h²    (divide both sides by 5 to get the h value by itself)

         24 = h     (take the square root of both sides)

3 0
3 years ago
What is the surface area of the right cylinder below. radius 3 height 7​
lina2011 [118]

Answer:

160 sq. uits

Step-by-step explanation:

160 sq. uits é a resposta

4 0
2 years ago
H=2.9L+78.1<br> About how tall would the male have been if the length of the humerus measured 39 cm?
dalvyx [7]

Answer:H=191.2

Step-by-step explanation:

H=2.9(39)+78.1

H=113.1+78.1

H=191.2 cm

3 0
3 years ago
Evaluate [(30+6)-3^2] ÷ by 9·2
kow [346]

Answer:

PEMDAS

[(30+6)-3^2] ÷ by 9·2

[(30+6)-9] ÷ by 9·2

[(36)-9] ÷ by 9·2

(27) ÷ by 9·2

Division comes first in this equation. Multiplication & Division goes from left to right when using PEMDAS. Same thing goes for Addition & Subtraction.

[(27) ÷ 9] · 2

(3) · 2

Answer: 6

Hopefully that made sense!

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Brainliest if correct
Gnesinka [82]

Answer:

-45

Step-by-step explanation:

v=179-224

v=-45

v=-45

5 0
2 years ago
Read 2 more answers
Other questions:
  • For every 13 birds born there are 2 animals born. There were 44 fewer birds born last month, so how many animals were born?
    11·1 answer
  • A candidate for mayor plans to campaign at 5 shopping malls before the election. In how many different ways can the candidate sc
    13·1 answer
  • Find the center and radius of x^2+y^2=9
    12·2 answers
  • 44, 27, 35, 22, 44, 38, 40<br> Mean , Median_ , Mode
    13·2 answers
  • In AEFG, F = 61 inches, ZF=79º and ZG=34°. Find the length of g, to the nearest<br> 10th of an inch.
    12·1 answer
  • Factorise xy(x-y)+yz(y-z)+zx(z-x)
    15·1 answer
  • SOLVE INEQUALITY 5x-4&lt;39
    13·1 answer
  • Laura wants to place one flowerpot 3/4 every meters along the path from the gate to the main entrance of her home. The path is 1
    15·1 answer
  • A trapezoid has an area of 18 square miles. The bases are 5 miles and 7 miles. Using these measurements, the height of this trap
    14·1 answer
  • Determine the inverse of the function f (x) = 4(x − 3)2 + 2. inverse of f of x is equal to 3 minus the square root of the quanti
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!