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
Ymorist [56]
2 years ago
12

The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests, and then load passengers. Cabs

arrive at the hotel every 8 minutes; if a taxi drives by the hotel and the line is full, it must drive on. Hotel guests require a taxi every 5 minutes, on average. It takes a cab driver an average of 3.5 minutes to load passengers and luggage and leave the hotel(exponentially distributed).
1. What is the average time a cab must wait for a fare?
2. What is the probability that the line will be full when a cab drives by, causing it to drive on?
Mathematics
1 answer:
maksim [4K]2 years ago
6 0

Answer:

The appropriate solution is:

(1) 22.81 minutes

(2) 0.171

Step-by-step explanation:

According to the question, the values will be:

The service rate of guess will be:

= 5+3.5

= 8.5 \ minutes

The mean arrival rate will be:

\lambda =\frac{60}{5}

  =7.5 \ cabs/hr

The mean service rate will be:

\mu= 7.05 \ cabs/hr

(1)

The average time a cab must wait will be:

⇒ W_q=22.95-\frac{1}{7.05}

⇒       =\frac{161.798-1}{7.05}

⇒       =\frac{160.798}{7.05}

⇒       =22.81 \ minutes

(2)

The required probability will be:

⇒ P(X\geq 6)=\frac{1-2.115}{1-7.5}

⇒                  =\frac{-1.1115}{-6.5}

⇒                  =0.171

You might be interested in
I will mark brainlyest plss helpp
lana [24]

Answer:

The answer is C

Step-by-step explanation:

i also use khan

5 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP!!!! 100% CORRECT ANSWERS ONLY PLEASE!!!!
stealth61 [152]
The answer is "alternate exterior angles theorem."
3 0
2 years ago
Read 2 more answers
A large pizza costs $8.95, plus $0.65 for each additional topping. Ron paid $10.90 for a large pizza. How many additional toppin
svp [43]
X represents # of toppings

8.95+0.65x=10.90
0.65x=1.95
x=3

He got 3 additional toppings onto his large pizza.
5 0
2 years ago
23. Find the perimeter and area of the rectangle below. 10x^2 7xy^2​
coldgirl [10]

Answer:

Area= 70x^3y^2

Perimeter = 20x^2 + 14 xy^2

Step-by-step explanation:

Area is just multiplying the length and width, I multiplied the constants first which gets us 70 then multiplied the variables, they combine however only the x's can be multiplied to each other which results in 70x^3y^2 .  The perimeter you just multiply the length by two and the width by two, they are separate because the variables when added to each other do not combine.  

4 0
2 years ago
Ashton had 14 photo frames. He gave 7 frames to his cousin. Now, Ashton has 2 frames. Jack filled 14 bags each with 7 pounds of
rodikova [14]
Kate's situation is correct because she put 2 muffins each in 7 boxes, which is saying 7 x 2. If you multiply these factors together, you will get 14 muffins; which is the amount that Kate started with.
7 0
3 years ago
Read 2 more answers
Other questions:
  • The answer to the wuestikn
    14·1 answer
  • Please answer today! A triangle has 2 congruent sides. The angle between the 2 congruent sides is labeled x. The angles opposite
    7·2 answers
  • Ashley wants to find out how much money she has in her piggy bank. She has x number of quarters and y number of dimes and says t
    5·1 answer
  • 4/3x3.14x5x5x5 volume
    7·1 answer
  • A bucket that contains several inches of water is left outside on a rainy day. The height of the water in the bucket that day is
    11·2 answers
  • Finding actual height and width of a room
    13·1 answer
  • -6(2)divided by (-3)
    7·2 answers
  • 1. Gina has a circular gold bracelet with a diameter of 3 inches. She wants
    9·1 answer
  • A) 4+10+8=<br> B) 5-9+1=<br> C) -8-2+3=<br> D) -15+8-7=<br> E) 24+6-12=<br> F) 18-3-21=
    11·2 answers
  • What error did zacharias make? the –5 should be 5. the 52 should be –52. the 2 in the numerator should be –2. the 2 in the denom
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!