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melisa1 [442]
4 years ago
11

2. a. The center for research in data science has a vacancy of 5 interns under a research attachment program. However, 20 studen

ts have applied. Determine the number of ways to select a team of 5 interns given that all students fulfill the minimum CGPA criteria. [3 marks]
Mathematics
1 answer:
Yuliya22 [10]4 years ago
7 0

Answer:  15504

Step-by-step explanation:

Given : The center for research in data science has a vacancy of 5 interns under a research attachment program.

Number of students applied = 20

The combination of n people taking r at a time is given by :-

C(n,r)=\dfrac{n!}{r!(n-r)!}

Since, all students fulfill the minimum CGPA criteria it means all 20 students are equally eligible.

Then , the number of ways to select a team of 5 interns from all 20 interns :-

C(20,5)=\dfrac{20!}{5!(20-5)!}\\\\=\dfrac{20\times19\times18\times17\times16\times15!}{5!15!}\\\\=15504

Hence, the number of ways to select a team of 5 interns. =  

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7x – 4 and 6x – 4 – x are equivalent using the interactive tool.
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4 years ago
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Someone took the elevator down 2 floors to the basement. would it be positive/negative?
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Step-by-step explanation:

8 0
3 years ago
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81 is 37.5% of what number?
laila [671]

Hi,

81 is 37.5% of 216.

"1. We assume, that the number 37.5 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 100% equals 37.5, so we can write it down as 100%=37.5.  

4. We know, that x% equals 81 of the output value, so we can write it down as x%=81.  

5. Now we have two simple equations:

1) 100%=37.5

2) x%=81

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=37.5/81

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 81 is what percent of 37.5

100%/x%=37.5/81

(100/x)*x=(37.5/81)*x       - we multiply both sides of the equation by x

100=0.46296296296296*x       - we divide both sides of the equation by (0.46296296296296) to get x

100/0.46296296296296=x  

216=x  

x=216                          "

Have a great day!

3 0
3 years ago
What are the domain restrictions of a + 1 / a^2-5a-36?
velikii [3]
All real numbers except -4 and 9.    

The domain of an expression is the range of all values for which the expression is defined. Looking at the expression, it will legal everywhere except when a^2 - 5a - 36 is equal to 0. Since that's a quadratic equation, we can use the quadratic formula to find where its value is 0, giving -4 and 9.    

Therefore the domain of the expression is, All real numbers except -4 and 9.
3 0
4 years ago
Heather can complete two problems in ten minutes, and when she started she had three problems done. joel can complete three prob
zzz [600]
 heather can do 2 problems in 10 minutes....60 minutes in an hr
2/10 = x / 60...2 problems to 10 min = x problems to 60 min
10x = 120
x = 120/10
x = 12....so she can do 12 problems in 1 hr

Joel can complete 3 problems in 15 minutes...
3/15 = x / 60
15x = 180
x = 180/15
x = 12....so he can do 12 problems in 1 hr

so 24 problems can be done in 1 hr

Heather started with 3 problems done and Joel started with 2 problems done....added = 5 problems already done

and it is asking between 30 and 50 hrs.....so there is no equal sign in ur problem

ur answer is : 30 < 24x + 5 < 50 <==




5 0
3 years ago
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