Consider a taxi station where taxis and customers arrive in accordance with Poisson processes with respective rates of one and three per minute. A taxi will wait no matter how many other taxis are present. However, an arriving customer that does not find a taxi waiting leaves. Find the proportion of arriving customers that get taxis.

Answers

Answer 1

Answer:

The proportion of arriving customers that get taxis is:

= 33%.

Step-by-step explanation:

Rate of arrival of taxis = 1 per minute

In one hour, the number of taxis arriving = 60 (60/1)

Rate of arrival of customers = 3 per minute

In one hour, the number of customers arriving = 180 (60 * 3)

The proportion of arriving customers that get taxis = 60/180

= 0.333

= 33%

b) Since the taxis wait until they get a customer, it means that they will likely transport one out of 3 customers who arrive.  Therefore, the proportion of arriving customers that get taxis is equal to 1/3 or 60/180, which is equal to 33%.


Related Questions

A fair number cube, with numbers 1 through 6, was rolled 200 times. The number 5 was rolled 34 times. If the number cube was rolled 300 times, approximately how many times would the number 5 be rolled?

A:9

B:15

C:51

D:134

Answers

Answer:

51

Step-by-step explanation:

34/200=.17

.17×300= 51

Julie made some hot chocolate by mixing 1 1/4 cups of milk with 1/2 tablespoons of cocoa. How many cups of milk Julie uses for 1 tablespoon of cocoa?

Answers

Not sure really sure

Answer:

2 2/4

Step-by-step explanation:

Since 1/2 of tablespoon of coca can make 1 1/4 cup of milk...

1 1/4 + 1 1/4 = 2 2/4

im a breadstick grrrr

Answers

Answer:

ok if u say so

Step-by-step explanation:

Please answer plzzzzzzzzzzz

Answers

Answer:

543

Step-by-step explanation:

If this is long division then the answer should be 543

hope this helps!

Find the area of the figure shown below and choose the appropriate result.

Answers

The answer is 39 cm squared

Answer:

The answer is 39 cm squared

3 Each change of 6 in the linear function
f(x) results from a change of 2 in x.
What is the rate of change of f(x) in
relation to x?
A
1/3
с 3
B-1/3
D-3

Answers

Answer:

D. -3

Step-by-step explanation:

Sana nakatulong

z-(-7)< 5
Solve this inequalities

Answers

Answer:

z less than -2

Step-by-step explanation:

z negative times negative is positive and 1 x 7 is 7

z+7 less than 5

z less than 5 - 7 because if a positive number crosses the sign it becomes negative

z less than -2 because 5-7 is -2

A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)

Answers

Answer:

y = x + 15

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.

Plug this value (1) into your standard point-slope equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.

10 = (-5) + b

Simplify.

10 = -5 + b

Now, add 5 to both sides to isolate b.

15 = b

Plug this into your standard equation.

y = x + 15

This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)

Hope this helps!

How do I Solve 6=18x

Answers

Answer:

1/3

Step-by-step explanation:

6=18x

for x

x=6/18

x=1/3

Find the standard deviation. Round to the nearest tenth.
251, 180, 281, 234, 295, 285, 194, 272, 291
O A. 42.6
O B. 31.7
O C. 45.6
O D. 40.2

Answers

The answer to the question is B

Convert Standard Form to Factored Form (SHOW
ALL WORK) (LT 5.6)
j(x)=x²+7X-18

Answers

Answer:

j(x)=a(x+9)(x-2)

j(x)=1(x+9)(x-2) < final answer

For each equality decide whether the solution is represented by X less than 2 .5 or X greater than 2.5 -4x+5>-5 -25>-5(x+2.5)

Answers

Answer:

[tex]x<2.5[/tex] and [tex]x > 2.5[/tex] are the solutions

Step-by-step explanation:

Given

[tex]-4x + 5 > -5[/tex]

[tex]-25 > -5(x + 2.5)[/tex]

Required

Determine if their solution is x < 2.5 or x > 2.5

[tex]-4x + 5 > -5[/tex]

Collect like terms

[tex]-4x>-5-5[/tex]

[tex]-4x>-10[/tex]

Divide by -4

[tex]x<\frac{-10}{-4}[/tex]

[tex]x<2.5[/tex]

[tex]-25 > -5(x + 2.5)[/tex]

Open bracket

[tex]-25 > -5x - 12.5[/tex]

Collect like terms

[tex]5x > 25- 12.5[/tex]

[tex]5x > 12.5[/tex]

Divide by 5

[tex]x > \frac{12.5}{5}[/tex]

[tex]x > 2.5[/tex]

Pls help asapppppp!!!!!

Answers

answer : a or 10

explanation :
f(4)=4^2 - 6
4f=4^2 - 6
4f=16 - 6
4f=10

A rectangle has side lengths of 3 inches and square root 5 inches. Which statement
must be true
about the area of the rectangle?

Answers

Answer:

B

Step-by-step explanation:

Firstly, we will take a look at the equation and the options listed to choose from.

Secondly, we notice these options are reffering to rational and irrational numbers.

A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.

As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.

.............................................................................................................

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)

B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.

According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.

By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.

[tex]A = (3)\cdot \sqrt{5}[/tex]

[tex]A = 3\sqrt{5}[/tex]

Hence, the right answer is B.

We kindly invite you to check this question on irrational numbers: https://brainly.com/question/528650

Estimate the product 28 2/3 x 4/5

Answers

Answer:

23.2, exact is 22.9333334

Step-by-step explanation:

28 2/3 is around 28.5 ,4/5 is .75

28.5 * .75 = 21.375

12) A large box of crackers weighs 20 oz. If James needs 3 pounds of crackers for a
party, how many boxes of crackers should he buy?

Answers

Answer: about 3 boxes would be 3.50 lbs so idrk

Step-by-step explanation:

please help ///// brainiliest

A 6 cm high cone has a volume of 128π cm3 What is its exact surface area?

A. 160π cm2
B. 96π cm2
C. 144π cm2
D. 104π cm2


No dam links

Answers

I think it would be D. 104

Problem 3.1
Jaleel wrote a book. He wants to print some copies for his
friends and family. The printing company charges a one-
time fee of $200, plus $2 for each printed book.
Is Jaleel's total cost a function of the number of books he
prints?

Answers

Answer:

C(n) = 200 + 2n

Step-by-step explanation:

Given:

Fixed cost state by printing company = $200

Variable charges per book print = $2

Find:

Cost function of number of books print

Computation:

Assume:

Number of books printed = n

Total cost of n books printed = Fixed cost state by printing company + Variable charges per book print[Number of books printed]

C(n) = 200 + 2n

Where n = number of book

C = Total cost

Jaleel's total cost as a function of the number of books he print is [tex]c = 2n + 200[/tex]  (in dollars)

How to form mathematical equations from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.

If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions or equations.

For the considered case, we don't know exactly how many books will Jaleel gets printed. So we can use variable here.

Let we have:

n = number of books Jaleel gets printed.c = total cost Jaleel has to pay for printing those books

Then, as stated in the problem, for each book there is $2 price, and there is a fixed one-time charge of $200

Thus, we get total cost as:

c = Cost for n books + Fixed one-time cost.

Cost for n books = 2 + 2 + ... + 2 (n times ) (in dollars) = [tex]2n[/tex]

(we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Fixed one-time cost = $200

Thus, total cost is written as:

c = Cost for n books + Fixed one-time cost.

c = 2n + 200 (in dollars)

Learn more about forming equations here:
https://brainly.com/question/11938672

la expecion del volumen​

Answers

Answer:

no hay imagen lo siento

Step-by-step explanation:

6.632.512 what is the value 3

Answers

Answer:

HEHEHEH I NEED POINTS-

Step-by-step explanation:

A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100. You scored a 625. Calculate your z-score to the nearest hundredth (i.e. 2 decimal places).

z=

Answers

Answer: The required z-score = 1.25

Step-by-step explanation:

Let x be a random variable that denotes the scores in the exam.

The formula for z-score = [tex]\dfrac{X-\text{mean}}{\text{standard deviation}}[/tex]

As per given, we have

X= 625, mean=500, standard deviation = 100

Z-score = [tex]\dfrac{625-500}{100}[/tex]

i.e. Z-score = [tex]\dfrac{125}{100}[/tex]

i.e. Z-score =1.25

Hence, the required z-score = 1.25

Choose the equation that best describes the image.

Answers

Answer:

D

Step-by-step explanation:

your welcome!!!!!!! :D :)

The first sequence rule is multiply by 2 starting from 7. The second sequence rule is add 2 starting from 8. What is the first number that appears in both sequences?
Question 3 options:

10

14

18

28

Answers

The first and the second sequence are arithmetic and geometric sequence, respectively

The first number in both sequences is 14

How to determine the first number?

From the question, we have the following rules

Rule 1

Start = 7

Multiply by 2

Rule 2

Start = 8

Add = 2

So, the numbers in the sequence are:

Rule 1: 7, 14, 28, 56......

Rule 2: 8, 10, 12, 14, .....

By comparing the numbers in the sequence, we can see that the first number in both sequences is 14

Read more about sequence at:

https://brainly.com/question/6561461

Find the area of each figure. Answer asap

Answers

Answer: There is no picture I will edit my answer when you add one

Step-by-step explanation:

Answer:

I need the picture or the shape please and thank you

Step-by-step explanation:

Mark and Doug work at the mall. Last week,
Mark worked five less than three times the
number of hours that Doug worked. If their total
number of combined hours was 13 more hours
than Mark worked, how many hours did they
work in total?

Answers

If Mark and Doug work at the mall and their total number of combined hours was 13 more hours than Mark worked, The number of hours they work in total is 47 hours.

How to find the hours worked?

Let x represent the time Doug  worked

let 3x - 5 represent the number of hours Mark worked

Hence,

x + 3x - 5 = 3x -5 +13

4x-5=3x-5+13

4x-5=3x+8

Add 5 to both side

4x-5+5 =3x+8+5

simplify

4x =3x +13

subtract 3x from both side

4x -3x = 3x + 13 =3x

1x = 13

x =13/1

x =13 (Doug)

Hence,

3x -5 where x = 13

3 (13) -5

= 39 -5

= 34 hours (Mark)

Total hours

(Doug + Mark)

= 13 hours + 34 hours

= 47 hours

Therefore the total hours is 47 hours.

Learn more about hours worked here:https://brainly.com/question/568252

#SPJ1


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

QPN and TSU

Step-by-step explanation:

They're both exterior angles and they are both alternate to each other.

10+(2x3)^2 divied by 4x1/2^3

Answers

Answer:

11.125

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

please mark this answer as brainlest

A florist sells flower bouquets. The table shows the prices for various amounts and kinds of bouquets.
Flower Bouquets
Tole Price
daisies
$23.90
tulips
$60.80
roses
?
A customer buys 3 bouquets of tulips and 2 bouquets of roses for $147.70. What is the price of a bouquet of roses?
$28.25
$29.54
$55.93
S86.90

Answers

Answer:

$28.25

Step-by-step explanation:

$28.25

Help me pleas I need help to solv this problem

Answers

Answer:

(name) has a pizza. (name) steals (a fracton) of the pizza. How much pizza is left?

Step-by-step explanation:

Which of the following is a degenerate circle?
O A. r?+ y2 = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)2 = 0

Answers

The answer is D to your question

the Equation A. r²+ y² = 5 degenerate the circle.

What are the properties of the circle?

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

The general coordinate equation of a circle is:

(x-h)² + (y - k)² = r²

Where,

(h, k) is the center of a circle,

"r" is the radius of the circle.

Only option A, r²+ y² = 5

Satisfies the general equation of the line,

thus, From option A the coordinates of the circle on the plane r-y

is (0, 0) and the radius of the circle will be √5.

From option B,  x+y=7

It is the equation of the line.

From option C, x² + y² = -2

The sum of two squares can not be negative so it is not a real equation

From equation D, (x - 5)²+(y - 3)² = 0

The radius of a circle can not be zero otherwise it will become a point.

therefore, the Equation A. r²+ y² = 5 degenerate the circle.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ7

Complete question:

Which of the following is a degenerate circle?

O A. r²+ y² = 5

O B. x+y=7

O c. x² + y² = -2

O d. (x - 5)²+(y - 3)² = 0

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