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]
3 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]3 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
Select any equations that have the same solution set as:
aliya0001 [1]

Answer: 6+4x=26, 4x=20

Step-by-step explanation: 6+4x=20 is the initial equation but completely multiplied by two, so you can know without solving that it is equivalent.

If you solve the equation, 2x+3=13 (subtract 3 from both sides)

2x=10 (divide both sides by 2)

x equals 5.

if you plug in 5 as x to 4x=20, you get 20=20, which is a true statement, so this choice is also correct. You could also solve to prove x equals 5 in this equation as well. Divide 20 by 4 and you get x=5.

8 0
2 years ago
2’’ 1/4 divided by 8” 2/6
xenn [34]
The answer should be 1/48
6 0
4 years ago
Stuck on this last problem​
marissa [1.9K]

Answer:

A.

Step-by-step explanation:

Since the associate property is grouping and since the only that groups the number differently is A.

6(1/3 x 7/5) changes to (6 x 1/3) 7/5

Hope this helps :)

4 0
3 years ago
Suppose you own 1 stock of Amazon and it cost $750 to buy it. After you buy the stock, it increases by 100%.
viva [34]

Answer:

1500

Step-by-step explanation:

750+750

8 0
3 years ago
Read 2 more answers
|-1| ___ 1 ≥ ≤ ≠ = what is the answer to this problem
galina1969 [7]

Answer:

<

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Two burgers and three small fries is 21.18. Four burgers and two small fries is 29.56 how much is one burger and one fries
    10·1 answer
  • PLEASE HELPP!!
    11·1 answer
  • When given a function in standard form,how can you determine if the parabola has aminimum or maximum value
    5·1 answer
  • Elspeth knows that Pi times r almost-equals 9.42 centimeters. What would she need to do to find the circumference?
    5·2 answers
  • The Big Time Band put on a community concert. A total of 1,236 people attended the concert. There were twice as many adults as c
    12·1 answer
  • Please Help Me Answer
    7·2 answers
  • Lightning flashes and is followed by the sound of thunder. The formula that relates the time between seeing the lightning, heari
    8·2 answers
  • Please help ! The equation is attached in the photo above :)
    10·2 answers
  • I need help with this please​
    6·1 answer
  • What is the 75 percentage of 25?.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!