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
In Lixue’s garden, the green pepper plants grew 5 inches in 34 month. At this rate, how many feet can they grow in one month? (L
beks73 [17]

Answer:

<h2>0.15 inches per month</h2>

Step-by-step explanation:

step one:

This problem is focused on the growth rate of a plant.

given data

the plants grow 5 inches in 34 months

and also that 1 month= 4 weeks

step two:

We can still say that

if 34 months see a growth of 5 inches

then 1 months will be X inches

cross multiply we have

X= 5/32 inches

step three:

converting this number to decimal we have

X= 0.15 inches per month

Therefore the growth rate would be

0.15 inches per month

5 0
3 years ago
38.3 cm<br> Р<br> 0 12.6 cm R
nasty-shy [4]

Answer:

Step-by-step explanation: F 50.9 cm (H 25.7 cm. G 46.3 cm. -38.3 cm. G 46.3 cm. 921.3 cm. Ø 12.6em Å ... Р. 3 - с. 2, +6:48 348 р. 8. Find the distance between P(2, 8) and Q15, 3). F9 ... REVIEW VOCABULARY!!!!! R=0 tre of the two angles. Atab=180. 2 ДО - Чx 49.

7 0
3 years ago
Seascapes rent small fishing boats for a day-long fishing trips. each boat can carry only 1200 lb of people and gear for safety
solmaris [256]

A. We are given that each person weighs 150 lb, each gear per person weighs 10 lb, and a total of 200 pounds of gear for the boat itself.

Since each person only carries one gear, therefore total weight per person in 160 lb (weight of person + weight of gear).

So let us say that x is the number of persons, the inequality equation is:

 

160 x + 200 ≤ 1200

 

 

B. There are three groups that wish to rent the boat.

> Solve the inequality equation when x = 4

160 (4) + 200 ≤ 1200

840 ≤ 1200           (TRUE)

 

> Solve the inequality equation when x = 5

160 (5) + 200 ≤ 1200

1000 ≤ 1200         (TRUE)

 

> Solve the inequality equation when x = 8

160 (8) + 200 ≤ 1200

1480 ≤ 1200         (FALSE)

 

So only the 4 people group and 5 people group can safely run the boat.

 

 

C. Find the maximum number of people that may safely use the boat, solve for x:

 

160 x + 200 ≤ 1200

160 x ≤ 1000

x ≤ 6.25

 

Therefore the maximum number of people that can safely use the boat is 6 people.

3 0
3 years ago
What is the y-intercept of the line shown? <br> -1<br> 0<br> 1
Hatshy [7]

Answer:

-1

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis.

7 0
2 years ago
Read 2 more answers
The gardener sells half of his oranges plus three more to his first buyer. The gardener then sells half of his remaining oranges
Andrew [12]

Answer:

146

Step-by-step explanation:

5 0
4 years ago
Other questions:
  • What is the right answer to this?
    13·1 answer
  • A 12 ​-foot piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. Find
    8·2 answers
  • What are the zeros of the quadratic function f(x)=2x^2+8x-3
    10·1 answer
  • a rectangle is a four sided flat shaped where every interior angles is a right angle. Therefore, opposite sides aRE PARALLEL and
    12·1 answer
  • What is the purpose of the cell membrane?
    11·1 answer
  • Can anyone help me with 24,27,30 and 33 please
    11·1 answer
  • What is the volume of the cynlinder?
    8·1 answer
  • Find the distance between the two points in simplest radical form.<br> (4, -3) and (-1, -9)
    8·2 answers
  • Find the degree of the polynomial 9x^3 y6 + 2.5xy + x^2 .
    15·1 answer
  • Amelia, Shauna, Jamie, and Clarence used different approaches to solve this equation.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!