Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 4 minutes. When taking off, the run time of an airplane on the runway is 24 seconds. Planes are on average waiting 5 minutes and 54 seconds for take-off. On average there are 12 planes taking off per hour. How many planes are either on the runway or waiting to take off?

Answers

Answer 1

Answer:

1 plane either on the runway or waiting to take off

Step-by-step explanation:

We are given;

Frequency of take off = 12 planes per hour = 12/60 = 0.2 planes per minute

Waiting time on runway = 5 minutes 54 seconds = 5.9 minutes

Run time on runway = 24 seconds = 24/60 minutes = 0.4 minutes

To solve this question, we will use Little's law which is given by the formula;

System inventory = rate of flow × throughput time

Now, rate of flow is the same as Frequency of take off.

Thus, rate of flow = 0.2 planes per minute

Throughput time = Waiting time on runway + Run time on runway

Thus;

Throughput time = 5.9 minutes + 0.4 minutes

Throughput time = 6.3 minutes

Thus;

System inventory = 0.2 × 6.3 = 1.26 planes

Thus is approximately 1 plane.


Related Questions

Ben Amstrong earns $13.57 an hour plus time and a half for weekend work. Last week he worked his regular 40 hours plus 8 hours on Saturday. What was his total pay for the week? A) $542.80 $651.36 B) C) $705.64 $759.92 D)​

Answers

Answer:

$651.36

Step-by-step explanation:

13.57x48

y = (25 - 2) (35 - 2).
Multiply the binomials.

Answers

Answer:  y=759

Step-by-step explanation:

y = (25 - 2) (35 - 2)

y = (23) (33)

y = 759

Answer:

y = 759

Step-by-step explanation:

subtract the numbers

y = 23 (35 - 2)

y = 23 x 33

Multiply the numbers

y = 759

Solution

y = 759

What are the solutions of this quadratic equation?
X^2 = 16x – 65

Answers

Answer:

x= 4.3125

Step-by-step explanation:

Answer:

x=4+7i and x=4-7i

Step-by-step explanation:

Rewrite the given quadratic equation by completing the square.

x^2-8x=-65

x^2-8x+16=-65+16

x^2-8x+16=-49

(x-4)^2=-49

Now, solve the equation by applying the square root property and isolating x.

(x-4)^2=-49

√(x-4)^2 = √-49

x-4=+7i

x=4+7i

So, the solutions to the given quadratic equation are x+4+7i and x=4-7i.

puzzle time: what did the bowling pin say to the bowling ball

Answers

Answer:

please spare me

Step-by-step explanation:

100% A coin is tossed 100 times. Which is the best estimate for the number of times the coin will land heads up?

A 10
B. 20
c. 50
D. 80
E. 100​

Answers

Answer:

C.50

Step-by-step explanation:

It would be 50 because there are 2 sides to the coin. So if you take 100/2 you get 50. that would be the best estimate answer in my opinion

Number of times the coin will land heads will be 50

What is Binomial Distribution?

Number of trials or observation when each trial has the same probability of attaining one particular value. It determines the probability of observing a specified number of successful outcome in a specific number of trial.

Here , number of times the coin had tosses: 100

P(probability of getting a head in a coin ) : number of time head can come when flipped once / total number of observations

 since , head can come once and there are two possibility either head or tail

hence P= 1/2

this implies number of times heads land up = n*P = 100 *(1/2) = 50

option c) 50

Let us learn more about binomial distribution:

https://brainly.com/question/13634543?referrer=searchResults

#SPJ2

x=???????? ASAPPppppp

Answers

Answer:

x=2

Step-by-step explanation:

12=12 2=2

the sides have the same x

PLEASE HELPPPP IS ALGEBRA 1 it’s easy i guess :/

Answers

It’s b the hourly charge is x because we don’t know exactly how many hours

Find the slope of the line from the graph.

Answers

Answer:will hope it help to find the answer with an unqualified

Step-by-step explanation:

The slope is +3 because the points are every 3 and it is positive because it is going up to the right

Mr. Mikie hired 3 students to deliver advertising fliers. He paid each student the same amount. Let x be the total amount the students earned. Write an expression that tells how much 1 student earned.

Answers

Answer:

$x/3

Step-by-step explanation:

Can i get some help im really confused and im in the test

Answers

Answer:

b y= 3x+6 is the ans but not sure

The value of a share of AT&T stock on that day wa \$97 50 more than the value a share of IBM HockUnx to represent the unknown value Write an algebraic expression for each of the quantities being compared 0 = the value of a share of AT&T Mock E = the value of a share of IBM stock

Answers

Answer:

[tex]A = 97.50 + H[/tex]

Step-by-step explanation:

Given

Stocks: AT&T and IBM HockUnx

Required

Determine the algebraic expression

Represent AT&T with A and IBM HockUnx with H.

Since AT&T is 97.5 more than IBM HockUnx;

The required expression is:

[tex]A = 97.50 + H[/tex]

Graph A
Graph B
Graph C
ORE
2
.
Graph D
Graph E
ū v

Answers

Answer:

a

Step-by-step explanation:

Which angles would the consecutive interior angles theorem state are supplementary?

Answers

Answer: I'd go with Option (C.<3 AND 4, <6 AND 4)

Answer: The answer is D

Step-by-step explanation:

Order from least to greatest

Answers

Answer:

|-3|, |-3.52|, |8|, |-11|

Step-by-step explanation:

Hope this helps my guy

Answer:

Well, this is fairly simple.

Step-by-step explanation:

Those |  | on either side of all the numbers are absolute value lines.

Those things are everyone's best friend. They turn every number positive, and essentially make your day better.

So, using that knowledge, I can look at your numbers and tell you with confidence that the correct order is |-3|, |-3.52|, |8|, |-11|.

If I'm wrong, go ahead, shoot me. Sounds lovely.

Please help!
What is the inverse of f(x)=x2 - 11 if the domain is x > 0

Answers

Inverse means to reflect the graph on the plane of y=x
Thus simply switch x with y and isolate y,
x = y2 - 11
y2 = x + 11
y = root (x + 11)

The inverse of f(x) is:

y = root (x + 11)
range is y is greater than 0

PLEASE HELP Will give brainliest! Write the equation in y=mx+b form for the line on the graph. PLEASE

Answers

Answer:

y=-1.9x-1

Step-by-step explanation:

A ticket to see your favorite baseball team cost $43.32. The price decreases by $0.25 for every game loss during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 24 games. What is the price of a ticket after the team loses 24 games?

Answers

Answer:

$37.82

Step-by-step explanation:

Given that the cost of the ticket is

$43.32

and the price decrease is by $0.25

let the cost be C

and let the number of losses be L

the expression for the cost we be

C=43.32-0.25L

for the number of losses which is 22 we have

C=43.32-0.25(22)

C=43.32-5.5

C=37.82

Therefore the price after 22 losses is $37.82

Some equations have the form y=kxy=kx, where kk is a number.

Which equation CANNOT be written in the form y=kxy=kx?​

Answers

Answer:

[tex]x = 4y[/tex]

Step-by-step explanation:

Given

[tex]y = kx[/tex]

See attachment for options.

Required

Determine which of the options answers the question

Analyzing the option one after the other:

[tex]\frac{x}{y} = 4[/tex]

Multiply through by y

[tex]y * \frac{x}{y} = 4 * y[/tex]

[tex]x = 4y[/tex]

Divide through by 4

[tex]\frac{x}{4} = \frac{4y}{4}[/tex]

[tex]\frac{x}{4} = y[/tex]

This can be rewritten as

[tex]y = \frac{x}{4}[/tex]

[tex]y = \frac{1}{4} x[/tex]

By comparison with [tex]y = kx[/tex]

we have:

[tex]y = y[/tex]

[tex]x = x[/tex]

[tex]k = \frac{1}{4}[/tex]

Hence: this answers the question.

2.
Tom swims a steady pace in the pool. He swims 20 laps in 4 hours. What is the unit rate of
laps per hour?

Answers

Answer:

5

Step-by-step explanation:

5 (l)x4(h)=20

(l)=laps

(h)=Hours

The answer is gonna be: 5

21/4 times the quantity 51/2 minus k
Need help writing a expression for this phrase

Answers

Answer:

21/4 x 51/2 - k use the app Photomate if wrong

100 points please solve fast! Brainliest please!

Answers

Answer:

21

Step-by-step explanation:

The number of rectangles and combinations:

1 rectangle = 62 rectangles = 53 rectangles = 44 rectangles = 35 rectangles = 26 rectangles = 1

Total

6 + 5 + 4 + 3 + 2 + 1 = 21

Now the number of,

Rectangles and combinations are,

→ 1 rectangle = 6

→ 2 rectangles = 5

→ 3 rectangles = 4

→ 4 rectangles = 3

→ 5 rectangles = 2

→ 6 rectangles = 1

Then the total number is,

→ 6+5+4 + 3+2+1

→ 15 + 6 = 21

Hence, total number is 21.

The 2013-14 roster of the Seattle Seahawks, winners of the 2014 NFL Super Bowl, included 10 defensive linemen and 9 offensive linemen. (Data set may be found here.) The weights in pounds of the defensive linemen were 254 311 297 323 260 242 300 252 303 274 and the weights of the offensive linemen were 310 315 305 318 298 301 321 332 320 (a) Make a back to back stemplot of the weights of the offensive and defensive linemen. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Find the five-number summary for the offensive line. (Enter your answers to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (b) Find the five-number summary for the defensive line. (Enter your answer to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (c) Which group of players tends to be heavier? Offensive Defensive

Answers

Answer:

Step-by-step explanation:

The weights in pounds of the defensive linemen were :

254,311, 297, 323, 260, 242, 300, 252, 303, 274

Ascending order: 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323

The weights in pounds of the offensive linemen were :

310 ,315, 305, 318, 298, 301, 321, 332, 320

Ascending order:298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332

a)

Offensive line       Stem        Defensive line

                               24     |            2

                               25     |            2 , 4

                               26     |            0

                               27     |            4

         8             |      29     |           7

      1,5              |      30     |           0,3

     0,5,8           |      31      |           1

     0,1               |      32     |           3

      2                |      33     |

Five number summary of offensive line:

1) minimum: 298

2) maximum: 332

3)

Lower quartile:298 ,301 ,305 ,310

Q1 is the median of lower quartile

[tex]Q1=\frac{301+305}{2}=303[/tex]

4)

Upper quartile:318 ,320 ,321 ,332

Q3 is the median of upper quartile

[tex]Q3=\frac{320+321}{2}=320.5[/tex]

5)

Q2 is the median

 298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332

Mid value =[tex]\frac{9+1}{2}[/tex]=5th term = 315

Q2=315

Five number summary of defensive line:

1) minimum: 242

2) maximum: 323

3)

Lower quartile:242 ,252 ,254 ,260 ,274

Q1 is the median of lower quartile

Q1=254

4)

Upper quartile:297 ,300 ,303 ,311 ,323

Q3 is the median of upper quartile

Q3=303

5)

Q2 is the median

 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323

Mid value =\frac{274+297}{2}=285.5

Q2=285.5

c) Mean weight of offensive line = [tex]\frac{298+301+305+310+315+318+320+321+332}{9}=313.33[/tex]

Mean weight of defensive line = [tex]\frac{242+252+254+260+274+297+300+303+311+323}{10}=281.6[/tex]

Mean weight of offensive line is more

So, Offensive group of players tends to be heavier

Jacob and Joe are selling cheesecakes for a school fundraiser customers can buy New York style cheesecake and strawberry cheesecakes Jacobs or six New York style cheesecake's and six strawberry cheesecakes for a total of $96 Joe sold one New York style cheesecake and four strawberry cheesecake for a total of $52 what is the cost of each of one New York style cheesecake and one strawberry cheesecake

Answers

Step-by-step explanation:

Given data

Let the cheese be x

And strawberry be y

So

6x+6y=96-------1

x+4y=52----------2

Solving 1 and 2 simultaneously

Let us multiply equation 2 by 6 we have

6x+6y=96

6x+24y=312

-0-18y=-216

18y=216

y=216/18

y=12

Put y=12 in equation 2

x+4*2=52----------2

x+8=52

x=52-8

x=44

cheese =44

strawberry =12

The meter is the standard unit for:

weight
height
mass
length

Answers

The answer is length
the answer is length

If the domain of the sqaure root function f(x) is x <= 7, which statement must be true?

A) 7 is subtracted from from the x term inside the radical.
B) The radical is multiplied by a negative number.
C) 7 is added to the radical term.
D) The x-term inside the radical has a negative coefficient.

Answers

Answer:

D

Explanition:

What is an equation of the line that passes through the points (5,4) and (2,-2)

Answers

Answer:

2

Step-by-step explanation:

Slope equation: (y2-y1)/(x2-x1)

y2 = 4, y1 = -2, x2= 5, x1 = 2

4 – -2 = 6

5 - 2=3

6/3 = 2

3
Rewrite the equation y= 3/7x + 4 in standard form.

Answers

Answer:

I think it is 3x-7y=-28

3y-7x-4. Multiply 3 on both sides to get it out of the division of 7x. Subtract 7x to move it to the other side, making 3y-7x=4

Which of the following is the factor of 5x - 35?
A. 5(x - 7 ) B. 5(x + 7)
C. 7(x - 5) D. 7(x + 5)​

Answers

Answer:

a

Step-by-step explanation:

The answer above is correct

Alex prepares goody bags for his guests. He has 30 Minifigures and 24 spinners. How many goody bags can he make if he wants to put the same number of Minifigures in each bag and the same number of spinners in each bag with no toys left over?

Answers

Answer:

he can make 6 goodie bags

Step-by-step explanation:

how do you solve | -23.12 + .2361 | + 31.876 ?

Answers

Answer:

54.7599

Step-by-step explanation:

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