answer.
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
Daniel [21]
2 years ago
10

Two friends compete with each other and five other, equally good, violinists for first and second chair in an orchestra, in a bl

ind competition What is the probability that the two friends end up as first and second chair together?
Mathematics
1 answer:
Darina [25.2K]2 years ago
4 0

Answer: 0.0476

Step-by-step explanation:

Given : Two friends and 5 other people compete with each other for first and second chair in an orchestra.

Total people in this competition= 2+5=7

By permutation , Number of ways to arrange 7 people= 7!

Also, number of ways for two friends end up as first and second chair together= 2 × 5!   [ 2 ways to arrange friends on first and second chair and 5! ways to arrange others]

I.e. Required probability = \dfrac{2\times5!}{7!}

=\dfrac{2!\times5!}{7\times6\times5!}\\\\=\dfrac{1}{7\times3}\\\\=\dfrac{1}{21}\\\\=0.0476

Hence, the probability that the two friends end up as first and second chair together = 0.0476

You might be interested in
Anthony is informed that there is a 10% chance that he will be hired by the prestigious Acme corporation. He believes that, give
Korolek [52]

Answer:

8% probability that Anthony will soon be playing on the Acme golf team

Step-by-step explanation:

We have these following probabilities:

10% probability that he is hired by the corporation.

If he is hired by the corporation, an 80% probability that he will earn a spot on the golf team.

Given this information we can estimate that the likelihood that Anthony will soon be playing on the Acme golf team to be:

80% of 10%

So

P = 0.8*0.1 = 0.08

8% probability that Anthony will soon be playing on the Acme golf team

4 0
1 year ago
Which term of the AP. 8 , -4 , -16 , -28 ,......... is -880 ?​
denis-greek [22]

Answer:

75th term

Step-by-step explanation:

hope it is well understood

6 0
1 year ago
Read 2 more answers
An 8 foot length of 4 inch wide crown molding costs $16. How much will it cost to buy 40 feet of crown molding?
malfutka [58]
Converting feet to inches, 8*12=96 and 96*4=384. Next, 40*12=480. Since 384*x (if x represents the cost per inch of crown molding)=16*100=1600 cents due to that for every inch, we add x amount of money, we can find x to be 1600/384=800/192=400/96=200/48=100/24=50/12=25/6 by simply dividing both the numerator and denominator by 2 each time. Since we add x amount of money for every inch, and we have 480 inches, 480*x=480*25/6=2000 cents=2000/100=20 dollars is our answer
6 0
1 year ago
The linear function m=55-8.5b represents the amount m (in dollars) of money that you have after buying b books. Find the domain
Amiraneli [1.4K]

Answer:

The domain is (-∞ , ∞)

The domain is continuous

Step-by-step explanation:

Here, we want to identify the domain of the linear function

The domain in this case can be represented by the set of all real numbers.

When we talk of the domain of a function, we are simply referring to the the range of values between the smallest value on the x-axis and the largest number on the x-axis

Hence, mathematically, we are simply considering the smallest value of b up to the largest value of b in this case. Where b simply represents the number of books

Thus, the domain here will be (-∞ , ∞)

On if the domain is discrete or continuous, we can see that the domain is continuous.

The domain is continuous simply because, the domain we have contains all the values and not some in the set of real numbers. If it had contain only some, then it would have been discrete. But since it contains all, it is continuous

8 0
1 year ago
Stephen says that the numbers 38 and 40 are relatively prime. explain why he is incorrect in making this statement
bonufazy [111]

When you say that two numbers are relatively prime, it means that both numbers do not have a common factor except 1. Stephen is incorrect because 38 and 40 are both multiples of 2.

I hope I answered your question. Thank you <span>J</span>

5 0
1 year ago
Read 2 more answers
Other questions:
  • Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function f(x) = -1
    13·1 answer
  • Timothy is re-arranging his marble collection.he has five identical blue marbles,five identical green marbles and three identica
    8·2 answers
  • Match each quotient with its answer when expressed in the form of a + bi.
    14·2 answers
  • A spring stretches by 21.0 cm when a 135 n object is attached. what is the weight of a fish that would stretch the spring by 49
    15·1 answer
  • In 2011, a train carried 8% more passengers than in 2010. In 2012 , it carried 8% more passengers than in 2011. Find the percent
    13·1 answer
  • Which functions represent a piece of the function? Select three options.
    13·2 answers
  • A(n) _____ is a statement whose proof can be deduced directly from a previous theorem. auxiliary line remote interior angle coro
    8·1 answer
  • The maximum value of 3/5sinx-12cosx+19
    14·1 answer
  • 12 apple weigh 2 kg 500g . How many apples will weigh 15 kg​
    15·2 answers
  • Of the 50 students in the drama club, 36 take mathematics, 27 take physics and 20 students take both mathematics and physics. Ho
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!