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
ipn [44]
3 years ago
14

The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United Sta

tes. For 15 top-ranking restaurants located in Boston, the average price of a dinner, including one drink and tip, was $48.60. You are leaving on a business trip to Boston and will eat dinner at three of these restaurants. Your company will reimburse you for a maximum of $50 per dinner. Business associates familiar with the restaurants have told you that the meal cost at 5 of the restaurants will exceed $50. Suppose that you randomly select three of these restaurants for dinner. What is the probability that none of the meals will exceed the cost covered by your company (to 4 decimals)
Mathematics
1 answer:
earnstyle [38]3 years ago
3 0

Answer:

The probability that none of the meals will exceed the cost covered by your company is 0.2637.

Step-by-step explanation:

A hyper-geometric distribution is used to define the probability distribution of <em>k</em> success in <em>n</em> samples drawn from a population of size <em>N</em> which include <em>K</em> success. Every draw is either a success of failure.

The random variable <em>X</em> = number of meals that will exceed the cost covered by the company.

The random variable <em>X</em> follows a hyper-geometric distribution.

The information provided is:

N = 15

K = 3

n = 5

k = 0

The probability mass function of a hyper-geometric distribution is:

P(X=k)=\frac{{K\choose k}{N-K\choose n-k}}{{N\choose n}}

Compute the probability that none of the meals will exceed the cost covered by your company as follows:

P(X=0)=\frac{{3\choose 0}{15-3\choose 5-0}}{{15\choose 5}}=\frac{1\times 792}{3003}=0.2637

Thus, the probability that none of the meals will exceed the cost covered by your company is 0.2637.

You might be interested in
The area of a trapezoid is 60 square feet. If the bases of the trapezoid are 8 feet and 12 feet, what is the height?
Margarita [4]

Answer:

6

Step-by-step explanation:

60 = 12+8 divided 2 times height

60 = 20/2 x H

60 = 10 x H

60/10 = h

6 = H

7 0
3 years ago
A bee flies at 20 feet per second directly to a flower bed from its hive. The bee stays at the flower bed for 15 minutes, and th
oee [108]

Answer:

a. Speed of flight * ( total spent away from hive - time stayed on flower bed)

b. The flower bed is 2,400 ft from the hive

Step-by-step explanation:

a. Mathematically, the distance will be ;

the speed * time taken

Given that he stays a total of 17 minutes away from the hive and he stayed 15 minutes in the flower bed, the time it used on the flower bed will be 17 minutes - 15 minutes = 2 minutes

So the distance from the flower bed to the hive is;

Speed of flight * ( total spent away from hive - time stayed on flower bed)

b. We want to find the distance of the flower bed from the hive

That will be;

20 ft per second * 2 minutes (120 seconds)

= 20 * 120 = 2,400 ft

4 0
3 years ago
In a class of 40 students, 5 like neither Nokia nor
Vikki [24]

Answer:

No student liked only Nokia

Step-by-step explanation:

The information can be illustrated as shown on the Venn diagram.

The number of students who liked only Nokia is x.

The sum of all regions in the Venn diagram should be 40.

We add all to get:

5 + 5 + 30 + x = 40

40 + x = 40

x = 40 - 40

x = 0

Therefore no one liked only Nokia

8 0
2 years ago
I need help finding the X in these equations
krek1111 [17]

Answer:

For D I believe it would be 6

Step-by-step explanation:

I believe 6 because is you do 108÷18 you get 6 and then it would be 6/108 = 7/18 which is true.

Might not be correct and I don't know the others sorry!

5 0
3 years ago
Marla received a $15 tip on a meal that cost $75.
stealth61 [152]
75x0.20=15 answer is 20%
3 0
2 years ago
Other questions:
  • Let f(x)=6(2)^x−1+4
    5·2 answers
  • Any one please help this is like the last one I posted
    8·2 answers
  • Finke typing speed increased from 40 words per minute to 45 words per minute. What was the percent increase?
    10·1 answer
  • N a flower garden, there are 4 tulips for every 8 daisies. If there are 32 tulips, how many daisies are there?
    9·1 answer
  • Which is greatest 9/1 &gt; 8/10
    15·1 answer
  • the sum of 3 consecutive integers is 42.let x be the middle of the three integers. transcribe the statement accordingly
    6·1 answer
  • 7^2 - 13 divided by 24-18
    5·2 answers
  • Edgar accumulated $5,000 in credit card debt. If the interest rate is 10% per year and he does not make any payments for 3 years
    12·2 answers
  • Find the value of each missing variable
    14·1 answer
  • Felix has $100 in an account that earns 5% interest compounded annually.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!