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ad-work [718]
3 years ago
9

A manager is forming a 6 person team to work on a certain project. From the 11 candidates available for the team, the manager ha

s already chosen 3 to be the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?
6
24
56
120
462
Mathematics
1 answer:
inna [77]3 years ago
4 0
11 - 3 = 8
There are 8 remaining candidates.
Number of the combinations is:
8 C 3 = ( 8 * 7 * 6 ) / ( 3 * 2 * 1 ) ) 8 * 7 = 56
Answer:
C ) 56 
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Since an instant replay system for tennis was introduced a a major tournament, men challenged 1390 referee calls, with the resul
alexandr402 [8]

Answer:

H0: μm − μw = 0

against the claim

Ha: μm − μw ≠ 0

Since the calculated value of z= 0.6177 does not lie in the critical region the null hypothesis is accepted that men and women have equal success in challenging calls.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0: μm − μw = 0

against the claim

Ha: μm − μw ≠ 0

2) The significance level is set at 0.05

3) The critical region is z > + 1.96 and z< -1.96

4) The test statistic

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

Here p1= 411/ 1390= 0.2956     and    p2= 213/753=0.2829

pc = 411+ 213/1390+753

pc=624/2143

pc= 0.2912

qc= 1-pc= 1-0.2912=0.7088

5) Calculations

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

z= 0.2956-0.2829/√ 0.2912*0.7088( 1/1390+ 1/753)

z= 0.0127/ √0.2064 (0.00204)

z= 0.0127/0.02056

z= 0.6177

6) Conclusion

Since the calculated value of z= 0.6177 does not lie in the critical region the null hypothesis is accepted that men and women have equal success in challenging calls.

3 0
3 years ago
NEED HELP ASAP 20 POINTS
il63 [147K]

As we can see from the table there is a pattern to the whole data in the table. A closer look reveals that when we multiply the number of students, n by the cost per student, c we get a constant number, 72. Let us see what we mean here:

  1. 3\times24=72
  2. 6\times 12=72
  3. 9\times 8=72
  4. 16\times 4.5=72

Thus, the function which models the data is the nc=12.

Now, let us move on to the next part of the question:

If 12 students go on the trip then the cost per student as per this model will be:

\frac{72}{12}=6 dollars=$6

Therefore, out of the given options, the option the correct option is number B.


4 0
4 years ago
Read 2 more answers
A geology teacher takes her class on an annual field trip to analyze rock samples. They use randomized sets of
Tpy6a [65]
Second option would be the answer
8 0
3 years ago
Read 2 more answers
The Quality Control Department employs five technicians during the day shift. Listed below is the number of times each technicia
sveta [45]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Technician __Shutdown

Taylor, T___4

Rousche, R _ 3

Hurley, H__ 3

Huang, Hu___2

Gupta, ___ 5

The Numbe of samples of 2 possible from the 5 technicians :

We use combination :

nCr = n! ÷ (n-r)!r!

5C2 = 5!(3!)2!

5C2 = (5*4)/2 = 10

POSSIBLE COMBINATIONS :

TR, TH, THu, TG, RH, RHu, RG , HHu, HG, HuG

Sample means :

TR = (4+3)/2 = 3.5

TH = (4+3)/2 = 3.5

THu = (4+2) = 6/2 = 3

TG = (4 + 5) = 9/2 = 4.5

RH = (3+3) = 6/2 = 3

RHu = (3+2) /2 = 2.5

RG = (3 + 5) = 8/2 = 4

HHu = (3+2) = 2.5

HG = (3+5) = 8/2 = 4

HuG = (2+5) / 2 = 3.5

Mean of sample mean (3.5+3.5+3+4.5+3+2.5+4+2.5+4+3.5) / 10 = 3.4

Population mean :

(4 + 3 + 3 + 2 + 5) / 5 = 17 /5 = 3.4

Population Mean and mean of sample means are the same.

This distribution should be approximately normal.

7 0
3 years ago
Which of the following is an example of a variable expense?
olganol [36]

Answer:

Step-by-step explanation:

Rent, wages and car insurance don't vary much.  Grocery expenses depend upon the particular groceries purchased each time one goes to the grocery store, and are least likely to be steady / constant from week to week.

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3 years ago
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