Waiting times to receive food after placing an order at the local Subway sandwich shop follow an exponential distribution with a mean of 66 seconds. Calculate the probability a customer waits:a. Less than 39 seconds.

Answers

Answer 1

Using the exponential distribution, it is found that there is a 0.4462 = 44.62% probability that a customer waits less than 39 seconds.

The exponential probability distribution, with mean m, is described by the following equation:  

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

In this problem, mean of 66 seconds, hence, the decay parameter is:

[tex]\mu = \frac{1}{66}[/tex]

The probability that a customer waits less than 39 seconds is:

[tex]P(X \leq 39) = 1 - e^{-\frac{39}{66}} = 0.4462[/tex]

0.4462 = 44.62% probability that a customer waits less than 39 seconds.

A similar problem is given at https://brainly.com/question/17039711


Related Questions

A car travels a constant speed of 45 km/h


3.4.1 The distance travelled in 6 hours?

3.4.2 The time it takes to travel 495 km?​

Answers

Answer:

1 hour

Step-by-step explanation:

because i divided

A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher. For Saturday’s game, the coach has not yet determined which 9 players to use nor what the batting order will be, except that the pitcher will bat last. How many different batting orders at occur?

Answers

Answer::2,075,673,600 batting orders may occur.

Step-by-step explanation: A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher.

if 5c-2=3c, then 24c=

Answers

Answer:

24

Step-by-step explanation:

Step-by-step explanation:

24 is 3×8

so, when

3c = 5c-2

then

8×3c = 24c = 8×(5c-2) = 40c - 16

How many palindromes between 1000 and 9999 inclusive are divisible by 9?

Answers

Palindromes are numbers that remain the same, when reversed.

There are 10 palindromes divisible by 9 between 1000 and 9999

To do this, we list the numbers divisible by 9 between 10 and 99.

The numbers are:

[tex]\mathbf{A = 09,\ 18,\ 27,\ 36,\ 45.\ 54,\ 63,\ 72,\ 81,\ 90,\ 99}[/tex]

Flip these numbers

[tex]\mathbf{B =90,\ 81,\ 72,\ 63,\ 54.\ 45,\ 36,\ 27,\ 18,\ 09,\ 99}[/tex]

Combine corresponding numbers

[tex]\mathbf{AB =0990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

Rewrite as:

[tex]\mathbf{AB =990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

990 is less than 1000.

So, we have:

[tex]\mathbf{AB =1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

Count the numbers

[tex]\mathbf{n(AB) =10}[/tex]

Hence, there are 10 palindromes divisible by 9 between 1000 and 9999

Read more about palindromes at:

https://brainly.com/question/14076732

y>= -5x + 8 what is m?​

Answers

Answer:

The slope = -5

Step-by-step explanation:

y ≥ -5x + 8

Look at the problem as y = -5x + 8 and compare to the slope intercept form. The slope = -5

Is this a function or not a function?

Answers

Answer:

This is indeed a function

Find the equation of this line.

Answers

y=3/4x+1/4

I hope this helped :)

Answer:

Step-by-step explanation:

two points on the line are (-3,-2) and (5,4)

slope=(4-(-2))/(5-(-3)=(4+2)/(5+3)=6/8=3/4

eq. of line is

y+2=3/4(x+3)

4y+8=3x+9

4y=3x+9-8

4y=3x+1

y=3/4 x+1/4

Hemp help help help help help math math math

Answers

Answer:

x=25

Step-by-step explanation:

5x-5+  2x+10 =180

2x-5x = 10+5

3x= 15

x=5

5(5)-5+ 2(5) +10 =180

help me out guys !!!?​

Answers

Answer:

4

Step-by-step explanation:

yeah-ya............. right?

Answer:

16

Step-by-step explanation:

because :-

f(x) =[x+6] x=-10

=[-10+6]

=10+6

16

Help help math please please

Answers

Answer:

x = 42

Step-by-step explanation:

2x + 8 + 2x + 4 = 180

4x + 12 = 180

4x = 168

x = 42

I don’t know but I really need answers I don’t know but I really need

SOMEONE PLS HELP LIKE IM SO FAWKIN DESPRETE [Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• opposite of 4

Answers

answer 1:If on a number line, to the right of zero but if not and you’re trying to oppose it, it’s -1.

answer 2:since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.

the absolute value of 1 is 1

so it is 1 unit above sea level

|_._._._._._._._._._._._|

-5,-4,-3,-2,-1,0,1,2,3,4,5

Find the discriminant of the quadratic equation.

2i2+6i=4

Answers

[tex] {2i}^{2} + 6i = 4 \\ {8i }^{2} = 4 \\ 8i = \sqrt[2]{4} \\ 8i = 2 \\ i = \frac{2}{8} \\ i = \frac{1}{4} [/tex]

- BRAINLIEST answerer

HOW DO I FIND QR

PLEASE HELP

Answers

Solution: For finding QR we need to apply Pythagoras Theorem

What is Pythagoras Theorem ?

ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°

According to this law let's apply it in the diagram shown here.

(Hypotenuse)² = (Adjacent)² + (Opposite)²

(PR)² = (QR)² + (PQ)²

(5x - 2)² = (QR)² + (3x - 1)²

(QR)² = (5x - 2)² - (3x - 1)²

After factorising both of them we get

(QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)

(QR)² = 25x² - 20x + 4 - 9x² + 6x - 1

(QR)² = 16x² - 14x + 3

QR = √(16x² - 14x + 3)

So, QR is √(16x² - 14x + 3)

Proxima Centauri, our nearest star except for the sun, is about 4·1013 km from Earth. Find to one decimal place its distance in parsecs.

Answers

Step-by-step explanation:

The conversion for parsecs into meters is

1 parsec (pc) = [tex]3.09×10^{16}\:\text {m}[/tex]

So if Proxima Centauri is [tex]4×10^{13}\:\text{m}[/tex] away, then in terms of parsecs, this distance is

[tex]4×10^{13}\:\text{m}×\left(\dfrac{1\:\text{parsec}}{3.09×10^{16}\:\text{m}}\right)[/tex]

[tex]\;\;\;\;\;= 1.2×10^{-3}\:\text{parsec}[/tex]

Prepare a mixture of 300 mL of 70% alcohol and 200 mL of 95% alcohol. What is the percentage strength of the final solution?

Answers

Answer:

Step-by-step explanation:

300(0.70) + 200(0.95) = (300 + 200)x

                             400 = 500x

                                  x = 0.80

                                          80%

please help me with these questions I could truly appreciate it. No link please!

Explain why an exponential or logarithmic function would not be used to model the graph from question 1?

For Question 1, what is the y intercept and explain the meaning in the context of that problem?

Answers

Answer:

see below

Step-by-step explanation:

neither would be used because for an exponential, it would be a constant increasing or decreasing, and same thing for the logarithmic. This function has a consistent wave pattern.

1. 600, y intercept is when the study began

A graph can be modeled by several functions such as exponential function, logarithm functions, linear functions, quadratic functions, etc.

The graph is neither an exponential function, nor a logarithmic functionThe y-intercept is 600

The function type

An exponential function and a logarithmic function would either increase through its interval or decrease through its interval.

These functions would not increase and then decrease or decrease and then increase at different intervals.

From the attached graph, we can see that the graph increases and decreases at several intervals.

Because of this changes in the graph behavior, the graph cannot represent an exponential function or a logarithmic function.

The y-intercept

The graph cross the y-axis at y = 600.

Hence, the y-intercept is 600

Read more about exponential and logarithmic functions at:

https://brainly.com/question/3181916

For every 3 minutes that Ginny plays on the computer, she plays outside for 10 minutes. What is the ratio of minutes Ginny plays on the computer to minutes she plays outside?​

Answers

Three to Ten  3:10

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

Can someone answer these questions? Thank you!

Answers

Answer:

It's not a function

Because it's not a function, you don't have to answer b and c

In a sequence of four numbers, the difference between each number is 7.
The sum of the four numbers is 6.
What are the numbers in the sequence?
You must show all your working.

Answers

Answer:

Step-by-step explanation:

Let x be the lowest number of the four

x  + (x + 7) + (x + 14) + (x + 21) = 6

4x + 42 = 6

4x = -36

x = -9

-9 + 7 = - 2

-9 + 14 = 5

-9 + 21 = 12

-9. -2, 5, 12

What is: 17/21 + 1/3 - 5/7 as a fraction in simplest form?

(Giving brainliest, 5 stars and a thanks)

Answers

Answer:

3/7

Step-by-step explanation:

it is -1/21 as a fraction

What is 2,000/3.67 estimate

Answers

Answer:

an estimate would be 2000/4 so it would be 500

Step-by-step explanation:

hope this helped <3

Please Help!
what is the resultant of the two vectors shown above?​

A. (9,1)
B. (1,-9)
C. (-1,9)
D. (5,5)

Answers

Answer:

D 5 5 it has to be the answer

There are 4 rows of seats in each of first class and business class and there are 32 rows of seats in economy class. How many rows of seats are there on the planes?

Answers

Answer:

4 + 4 + 32 = 40 rows

Step-by-step explanation:

4/2 - (-2/3)

im confusedddd lol

Answers

Answer:

2.66666666667

or

266666666667/100000000000

Step-by-step explanation:

9514 1404 393

Answer:

  2 2/3

Step-by-step explanation:

The minus signs cancel, so the sum is ...

  4/2 +2/3

The improper fraction on the left reduces to 2, so this is ...

  2 +2/3

That sum is simply the mixed number 2 2/3.

click on the link i need help

Answers

Answer:

Uuuuh thats kind of suspicious, maybe you could post your question without  a link? But links are usually scams, so dont do that :)

Mike can drive 345 miles on
15 gallons of gas. How many
miles per gallon does Mike
get?

Answers

Answer:

23

if you have 15 gallons of gas and it makes it 345 miles that is 345 divided by 15 which is 23 or 023

15x2 equals 30 34 - 30 equals 4 bring the 5 down you have 45 15x3 equals 45, 45 - 45 equals 0

If i have a silver necklece at the price of 26 $ and its 50 percent of what was the orginal price.

Answers

50%=100%/2

26*2 = 52

Original price is 52 dollas

Answer:

52

Step-by-step explanation:

please mark brainlest

1/7 divided by blank equals 14

Answers

Answer:

1/98

Step-by-step explanation:

Step 1: Translate statement into equation.

[tex]\frac{1}{7}/x = 14[/tex] [tex]\frac{1}{7x}=14[/tex]

Step 2: Multiply both sides by 7x.

[tex]\frac{1}{7x} * 7x = 14 * 7x[/tex] [tex]1 = 98x[/tex]

Step 3: Divide both sides by 98.

[tex]\frac{1}{98} =\frac{98x}{98}[/tex] [tex]x = \frac{1}{98}[/tex]

Step 4: Check if solution is correct.

[tex]\frac{1}{7}/\frac{1}{98}[/tex] [tex]\frac{1}{7}*98[/tex] [tex]14[/tex]

Therefore, the answer is 1/98.

4 examples of one step equation

Answers

Answer:

Step-by-step explanation:

x + 14 = 20

4 = x²

x/4 = 50

x - 7 = 1

sarah had $40 at the beginning of the week. She babysat 3 days and by Saturday had $110. what is the percent increase

Answers

Answer:

175% increase

Step-by-step explanation:

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