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
Natasha_Volkova [10]
3 years ago
15

Taco Bell has decided to keep their doors open all night. There are 25 employees that have volunteered for the night shift. a) I

f a night crew consists of 8 employees, how many different crews are possible? b) If the employees are ranked 1,2,...,25 in order of competence, how many of these crews would not have the best employee? c) How many of the crews would have at least 1 of the 10 best employees? d) If one of these crews is selected at random to work on a particular night, what is the probability that the best employee will not work that night?
Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0

Answer:

a) 1,081,575

b) 735,471

c) 1,075,140

d) 0.3159

Step-by-step explanation:

a)

This is a combination of 25 elements taken 8 at a time

\binom{25}{8}=\frac{25!}{8!(25-8)!}=\frac{25!}{8!17!}=1081575

b)

Supposing number 1 is the best, if we leave him/her out we will now have 24 employees, so now it is a combination of 24 elements taken 8 at a time

\binom{24}{8}=\frac{24!}{8!(24-8)!}=\frac{24!}{8!16!}=735471

c)

Let's compute the complement of this set and then subtract.

That is to say, compute how many crews do not have any of the 10 best.

This would be a combination of 25-10 = 15 taken 8 at a time

\binom{15}{8}=\frac{15!}{8!(15-8)!}=\frac{15!}{8!7!}=6435

If we subtract this figure from the total of possible crews, we get 1,081,575 - 6,435 = 1,075,140 possible crews with at least one of the 10 best.

d)

From the figure obtained in c) we subtract the figure obtained in b) 1,075,140 - 735,471 = 339,669 and this is the number of crews that do not have number 1, so the probability that in a crew with at least one of the 10 best number 1 is not there is

339,669/1,075,140 = 0.3159

You might be interested in
Could somebody pls help me with this question
natulia [17]
simplify to 1 hour which will be 6 minutes in 1 hour

in 3 hours it will be 18 minutes
5 0
3 years ago
Read 2 more answers
3 + x = 9 solve for x
Lerok [7]
X is equal to 6
3+6=9
X=6
4 0
2 years ago
Read 2 more answers
What are similarities between rigid and nonrigid transformations?
Dimas [21]

Answer:

here are four main types of transformations: translation, rotation, reflection and dilation. These transformations fall into two categories: rigid transformations that do not change the shape or size of the preimage and non-rigid transformations that change the size but not the shape of the preimage

Step-by-step explanation:

pls make me brainiest

7 0
3 years ago
The word " _____ " in a word problem probably indicates you may estimate an answer.
Scilla [17]

Answer:

guess or round or about

Step-by-step explanation:

4 0
3 years ago
1.2million users of social media via mobile devices were added each day. How many users added on an average each second
Pachacha [2.7K]

Answer: 14 new users are added per second

Step-by-step explanation:

1,200,000/24 = 50000

50000/60 = 833.333333333

833.333333333/60 = 13.8888888889

then round because it said on average

so if we round 13.8888888889 we get 14

so on average 14 new users are added per second.

5 0
3 years ago
Other questions:
  • Rounded to the nearest ten thousand 101,687 and 173,245
    8·1 answer
  • Suppose you invest 16000 at 9% interest and that it is compounded daily. How much will you have in 8 years?
    8·1 answer
  • Rotate 90 clockwise around the origin (-6,-2) (-3,1) (-1,1) (2,-4)
    15·1 answer
  • Name the equation for any horizontal line of your choosing
    9·1 answer
  • Factorize the following quadratic equation u²- 12 u + 35 = 0​
    12·1 answer
  • Anybody have the answer to this?
    5·1 answer
  • If Jonny has 3 apple and take away 1 how many do he have
    14·2 answers
  • True or false of the matrix question?
    7·2 answers
  • ASAP Solve 1/9 (3/5) - 1/5 (7/3)=?
    10·1 answer
  • What is the area of the parallelogram below if b=6.1? Round your answer to the nearest tenth.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!