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
slamgirl [31]
3 years ago
10

Fresh produce is delivered to a restaurant every four days. Every 6 days, the restaurant receives a delivery of a dried and cann

ed goods if the produce and dried canned goods where delivered today, how many days will pass until they are all delivered to the restaurant on the same day again?
Mathematics
1 answer:
trapecia [35]3 years ago
3 0

Answer:

12

Step-by-step explanation:

4,8,12

6,12

They both have 12 in common

You might be interested in
Please help i hate algebra this is so confusing 30 pts
Tom [10]

you got it correct.............................

3 0
2 years ago
Read 2 more answers
Lowest common factor of 72 and 108​
melamori03 [73]

Answer:

The lowest common factor of 72 and 108 is 216

5 0
2 years ago
Translate the sentence into an equation.
Andrews [41]
4x + 6 = 9 is the equation
6 0
3 years ago
Read 2 more answers
Help for 13-15 pls and explain for 15
Pani-rosa [81]
13. 1
14. 1
15. any number and 0 will have a quotient of 0.
for example 7/0=0 .     8/0=0 .    9/0=0
if you try and check your work using multiplication 7*0=0 .    8*0=0 .    9*0=0
then you will realize the rule is right
4 0
3 years ago
Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The m
Elenna [48]

Answer:

Part a: <em>The probability of no arrivals in a one-minute period is 0.000045.</em>

Part b: <em>The probability of three or fewer passengers arrive in a one-minute period is 0.0103.</em>

Part c: <em>The probability of no arrivals in a 15-second is 0.0821.</em>

Part d: <em>The probability of at least one arrival in a 15-second period​ is 0.9179.</em>

Step-by-step explanation:

Airline passengers are arriving at an airport independently. The mean arrival rate is 10 passengers per minute. Consider the random variable X to represent the number of passengers arriving per minute. The random variable X follows a Poisson distribution. That is,

X \sim {\rm{Poisson}}\left( {\lambda = 10} \right)

The probability mass function of X can be written as,

P\left( {X = x} \right) = \frac{{{e^{ - \lambda }}{\lambda ^x}}}{{x!}};x = 0,1,2, \ldots

Substitute the value of λ=10 in the formula as,

P\left( {X = x} \right) = \frac{{{e^{ - \lambda }}{{\left( {10} \right)}^x}}}{{x!}}

​Part a:

The probability that there are no arrivals in one minute is calculated by substituting x = 0 in the formula as,

\begin{array}{c}\\P\left( {X = 0} \right) = \frac{{{e^{ - 10}}{{\left( {10} \right)}^0}}}{{0!}}\\\\ = {e^{ - 10}}\\\\ = 0.000045\\\end{array}

<em>The probability of no arrivals in a one-minute period is 0.000045.</em>

Part b:

The probability mass function of X can be written as,

P\left( {X = x} \right) = \frac{{{e^{ - \lambda }}{\lambda ^x}}}{{x!}};x = 0,1,2, \ldots

The probability of the arrival of three or fewer passengers in one minute is calculated by substituting \lambda = 10λ=10 and x = 0,1,2,3x=0,1,2,3 in the formula as,

\begin{array}{c}\\P\left( {X \le 3} \right) = \sum\limits_{x = 0}^3 {\frac{{{e^{ - \lambda }}{\lambda ^x}}}{{x!}}} \\\\ = \frac{{{e^{ - 10}}{{\left( {10} \right)}^0}}}{{0!}} + \frac{{{e^{ - 10}}{{\left( {10} \right)}^1}}}{{1!}} + \frac{{{e^{ - 10}}{{\left( {10} \right)}^2}}}{{2!}} + \frac{{{e^{ - 10}}{{\left( {10} \right)}^3}}}{{3!}}\\\\ = 0.000045 + 0.00045 + 0.00227 + 0.00756\\\\ = 0.0103\\\end{array}

<em>The probability of three or fewer passengers arrive in a one-minute period is 0.0103.</em>

Part c:

Consider the random variable Y to denote the passengers arriving in 15 seconds. This means that the random variable Y can be defined as \frac{X}{4}

\begin{array}{c}\\E\left( Y \right) = E\left( {\frac{X}{4}} \right)\\\\ = \frac{1}{4} \times 10\\\\ = 2.5\\\end{array}

That is,

Y\sim {\rm{Poisson}}\left( {\lambda = 2.5} \right)

So, the probability mass function of Y is,

P\left( {Y = y} \right) = \frac{{{e^{ - \lambda }}{\lambda ^y}}}{{y!}};x = 0,1,2, \ldots

The probability that there are no arrivals in the 15-second period can be calculated by substituting the value of (λ=2.5) and y as 0 as:

\begin{array}{c}\\P\left( {X = 0} \right) = \frac{{{e^{ - 2.5}} \times {{2.5}^0}}}{{0!}}\\\\ = {e^{ - 2.5}}\\\\ = 0.0821\\\end{array}

<em>The probability of no arrivals in a 15-second is 0.0821.</em>

Part d:  

The probability that there is at least one arrival in a 15-second period is calculated as,

\begin{array}{c}\\P\left( {X \ge 1} \right) = 1 - P\left( {X < 1} \right)\\\\ = 1 - P\left( {X = 0} \right)\\\\ = 1 - \frac{{{e^{ - 2.5}} \times {{2.5}^0}}}{{0!}}\\\\ = 1 - {e^{ - 2.5}}\\\end{array}

            \begin{array}{c}\\ = 1 - 0.082\\\\ = 0.9179\\\end{array}

<em>The probability of at least one arrival in a 15-second period​ is 0.9179.</em>

​

​

7 0
3 years ago
Other questions:
  • 1. Suppose xy = 20, where x and y are functions of t. What
    11·1 answer
  • polk elementary school was putting on its annual fall carnival. the school was selling 10 tickets for $1.00 or 2 tickets for 25c
    13·1 answer
  • For the equation y = 2x^2 − 5x + 18, choose the correct application of the quadratic formula.
    7·1 answer
  • Which value is equivalent to 7 x 5 x 2 divided by 7 x 3 to the 2nd power x 5 to the 0 power divided by 2 to the negative 3rd pow
    12·1 answer
  • !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!really need help fast
    8·1 answer
  • After the booster club sold 40 hotdogs at a football game, it had $90 in profit.
    6·1 answer
  • MONEY Sadie has $22.75 in her school lunch account. If she wants the money to last for this 5-day week of school, determine the
    9·2 answers
  • A car is traveling at a rate of 72 miles per hour. What is the car's rate in feet per second? How many feet will the car travel
    9·1 answer
  • A group of neighbors is holding an end of summer block party. They buy p packs of hot
    12·2 answers
  • Please help me solve this
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!