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
Natali [406]
2 years ago
12

An automatic car wash takes exactly 5 minutes to wash a car. On average, 10 cars per hour arrive at the car wash. Suppose that,

30 minutes before closing time, five cars are in line. If the number of cars in any time interval follows a Poisson distribution, and if the car was is in continuous operation until closing time, what is the probability that anyone will be in line at closing time
Mathematics
1 answer:
77julia77 [94]2 years ago
4 0

Answer:

0.9595724

Step-by-step explanation:

Time taken to wash a car (μ) = 5 minutes

Hence, Number of cars washed per hour = 60/5 = 12 cars

If 5 cars arrive, 30 minutes to closing ; it takes 25 minutes to finish up ;

If 1 more car arrives, then it takes exactly 30 minutes

Hence, there will be no one in line at closing ;

IF 0 or 1 car arrives, if more than 1 car arrives, then there will be people in line at closing.

Hence, probability of waiting in line at closing :

1 - [p(0) + p(1)]

Using poisson :

P(x) = [(e^-μ) * (μ^x)] / x!

If x = 0

P(0) = [(e^-5) * (5^0)] / 0!

P(0) = (0.0067379 * 1) / 1

P(0) = 0.0067379

X = 1

P(1) = [(e^-5) * (5^1)] / 1!

P(0) = (0.0067379 * 5) / 1

P(0) = 0.0336897

Hence,

1 - (0.0067379 + 0.0336897)

1 - 0.0404276

= 0.9595724

Hence, the probability that anyone would be in the car washing line after closing is 0.9595724

You might be interested in
A shopkeeper bought wheat for rs.35000. Due to leakage in the godown 1/7 of the total wheat was spoiled. He sold the good wheat
sladkih [1.3K]
<h2>Question: </h2>

A shopkeeper bought wheat for rs.35000. Due to leakage in the godown 1/7 of the total wheat was spoiled. He sold the good wheat at a gain of 10% and the spoiled when at a loss of 25%. Find his total gain or loss per cent.

Answer:

<h2>5%</h2>

<h2>step by step answer:</h2>

In the question we are given a shopkeeper or bought wheat for Rs. 35000. Now, due to leakage 17 of the total wheat is spoiled. Now, he sold the good wheat at 10% gain and the bad wheat at 25% loss. We need to find the total gain/loss percent.

According to the problem, the total cost of wheat is Rs. 35000.

Now, let us find the cost price of the spoiled wheat.

So, the cost of spoiled wheat is 17×Rs35000 which is equal to Rs. 5000.

Hence, the cost price of spoiled wheat is Rs 5000.

As we know that the spoiled wheat was sold at 25% loss, so we can say that if the cost price is considered as 100% so the selling price is considered as (100−25)% or 75%.

So, we got the selling price of spoiled wheat is 75100×5000=Rs3750

So, the cost price of spoiled wheat is Rs.5000 and selling price of spoiled wheat is Rs.3750.

Now, let us find the cost price of the good wheat.

Now, we will consider the good quality of wheat whose cost price is Rs(35000−5000) which is Rs. 30000.

Hence, the cost price is Rs. 30000.

As we know good quality wheat was sold at 10% gain so we can say that, if the cost price is 100% then the selling price will be (100+10)% or 110% .

Hence, the selling price of good quality wheat is 110100×Rs30000 which is Rs. 33000.

So, the cost price of good quality wheat is Rs. 30000 and selling price is Rs. 33000.

Let us find the total selling price of the wheat that the shopkeeper bought.

Now the total selling price of the wheat is Rs.3750+Rs.30000=Rs.36750.

Hence Profit = Total selling price − Total cost price

profit =Rs.36750−Rs.35000

=Rs.1750

profit %

=profitcost price×100%.

=175035000×100%.

=5%.

<h2>So, total profit is 5%.</h2>
6 0
2 years ago
Read 2 more answers
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among
9966 [12]

Answer:

Step-by-step explanation:

Each child received two pieces.

So total   pieces received by 4 children = 4*2 = 8

Total pieces = 10 + 8 = 18

3 0
3 years ago
Read 2 more answers
Answer this question pls!! (Will give Brainliest)
aev [14]

Answer:

first blank is 90/100

second blank is 145/100

Step-by-step explanation:

4 0
3 years ago
HELPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Nataliya [291]

Answer:

12 - B

13 - No

14 - for every 2 feet of rope he pays about $1.50

hope this helps

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
WILL GIVE BRAINLIEST!!
NNADVOKAT [17]
The second one should be correct

8 0
3 years ago
Other questions:
  • The locations, given in polar coordinates, for two ships are (8 mi, 63º) and (8 mi, 123º). Find the distance between the two shi
    9·2 answers
  • What are the coeffecients in 14x^2+x-12
    11·1 answer
  • Cuál enunciado No es verdadero con respecto al valor de la varieble n en la siguiente ecuación?
    15·1 answer
  • PLS MATHS EXPERT PLS ANSWER ASAP I AM GIVING OUT ALL MY POINTS!!!!!
    8·2 answers
  • Solve for x.<br> x= In e<br> x=
    6·1 answer
  • Xy + 3ey = 3e, find the value of y'' at the point where x = 0.
    12·2 answers
  • Please help and show work if you can I only need 10, 11 and 12​
    7·1 answer
  • Charlotte is making 20 flower bouquets 4/5 of the bouquet are daisies and the rest are tulips how many bouquets are tulips
    10·1 answer
  • What is the value of x?
    11·1 answer
  • HELP ME ASAP RIGHT NOW THIS IS DUE TOMORROW HELP ME NOWWW STOP SCROLLING!!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!