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
steposvetlana [31]
3 years ago
7

One of your friends eats lunch in the cafeteria sometime between 12:00 P.M. And 12:30 P.M. Another friend eats lunch in the cafe

teria sometime between 12:15 P.M. And 12:45 P.M. Today you get to the cafeteria at 12:20 P.M. What is the probability that you have missed both friends in the cafeteria?.
Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0

Answer:

11.11% probability that you have missed both friends in the cafeteria

Step-by-step explanation:

We use the uniform probability distribution to solve this question, since each lunch duration is equally as likely.

Uniform distribution:

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Probability that you miss the first friend:

Somewhere between 12 and 12:30 pm, so his lunches are between 0 and 30 minutes, so a = 0, b = 30

You arrive at 12:20. So if his lunch is 20 or less minutes, you miss him.

P_{1} = P(X \leq 20) = \frac{20 - 0}{30 - 0} = 0.6667

Probability that you miss the second friend:

Somewhere between 12:15 and 12:45 pm, so his lunches are between 0 and 30 minutes, so a = 0, b = 30.

You arrive at 12:20. So if his lunch is 5 or less minutes, you miss him.

P_{2} = P(X \leq 20) = \frac{5 - 0}{30 - 0} = 0.1667

Probability that you miss both friends:

Missing the first friend and the second friend are independent events. So we multiply these probabilities.

p = P_{1}*P_{2} = 0.6667*0.1667 = 0.1111

11.11% probability that you have missed both friends in the cafeteria

You might be interested in
.
Zepler [3.9K]
It took 12 days for all the 60 gallons of water to leak out of the barrel. If you divide 60 by 5 you will get 12.
4 0
3 years ago
Read 2 more answers
Please help me I need ASAP
Sliva [168]

Answer:

(4) y=(x-3)²-4

I dont have much evidence to give

7 0
3 years ago
The circumference of a circle is 3.14 inches.<br> What is the area of the circle?
SVETLANKA909090 [29]

Answer:

A = .785 inches ^2

Step-by-step explanation:

C = pi *d

We know the diameter = 2*r

C = pi*2*r

Substituting pi = 3.14 we can solve for r

3.14 = 2*pi*r

3.14 = 2*3.14 *r

Divide by 3.14 on each side

3.14/3.14 = 2*3.14 *r/3.14

1 = 2r

Divide by 2

1/2 =2r/2

1/2 =r

Now we can find the area

A = pi *r^2

A = 3.14 *(1/2)^2

A= 3.14 *1/4

A = .785 inches ^2

6 0
3 years ago
A church has 10 bells in its bell tower. Before each church service 7 bells are rung in sequence. No bell is rung more than once
elixir [45]

Answer:

3 Because there are only three bells that aren't being run there for three additional ways that the bells could be rung

4 0
2 years ago
Which is the best approximation for <img src="https://tex.z-dn.net/?f=%5Csqrt%7B90%7D" id="TexFormula1" title="\sqrt{90}" alt="\
Aleonysh [2.5K]

Answer:

A9.5

Step-by-step explanation:

I used a calculator......hope it helped:)))))))))))

4 0
3 years ago
Other questions:
  • The Martins bought a house this year for $300,000. If the value of the house rises 4% each year, what will be the approximate va
    8·2 answers
  • Create a quadratic equation that can be solved by factoring. Give the factored answer.
    14·1 answer
  • Which of the following is not something you should consider when evaluating a broker? a. Their experience b. Whether or not they
    15·2 answers
  • It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel
    10·1 answer
  • What is the range of the function f(x) = -(x + 3)2 + 7?
    8·1 answer
  • Select the answer choice below that represents 5.9 x 10-4 in standard notation.
    5·1 answer
  • Find the values of x,y, and z. The diagram is not to scale.
    8·1 answer
  • Keith bought a soft drink for 4 dollars and 9 candy bars . He spent a total of 31 dollars . How much did each candy bar cost ?
    10·2 answers
  • Factor the polynomial by substitution.<br> 5(4n - 1)^2 + 23(4n – 1) -10
    15·1 answer
  • Evaluate the expression a + b for a = 25 and b = 2
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!