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murzikaleks [220]
3 years ago
12

There are six professors teaching the introductory discrete mathematics class at someuniversity. The same final exam is given by

all five professors. The exam score is aninteger between 0 and 100 (inclusive, that is, both 0 and 100 are possible). How manystudents must there be to guarantee that there are two students with the same professorwho earned the same final examination score?
Mathematics
2 answers:
musickatia [10]3 years ago
5 0

Answer:

Step-by-step explanation:

zysi [14]3 years ago
5 0

Answer:

607 students to guarantee that there are two students with the same professorwho earned the same final examination score.

Step-by-step explanation:

This problem is an example of the Pigenhole principle.

The first step is finding the number of boxes and objects:

For each score, we have a box which contains the student who got that score.

If there were only one professor grading, there would need to be 101+1 = 102 students to ensure that that there are two students with the same professorwho earned the same final examination score.

However, for each student, there are a combination of six to five = 6 possible combinations for a score.

So there should be at least 6*101+1 = 607 students to guarantee that there are two students with the same professorwho earned the same final examination score.

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Given that sin 28° ≈ 0.469, enter the cosine of a complementary angle.
Lena [83]

Answer:

29 i think not sure ill reach back to you if i find a positive answer

4 0
3 years ago
What is the probability of rolling a odd number a number cube and spinning blue on the spinner shown
Roman55 [17]

I Believe its 2/5

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8 0
3 years ago
Need help on this one too
amid [387]

Answer:

If this is for a triangle then the answer is 45°

Step-by-step explanation:

Triangles are always 180° so if you have a right angle know that, that means the angle is 90°. So angle CAB is 90° and angle DAB is 45°. You take 180° and subtract 90° which leaves you with 90°. Then you take that 90° and subtract 45° and that leaves you with 45°.

8 0
3 years ago
Solve x3= 27.<br> A = 13<br> B. x= 5.2<br> C. x=3<br> D. x=9
scoray [572]

Answer:

x³=27

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3 0
3 years ago
Read 2 more answers
A statistician chooses 27 randomly selected dates, and when examining the occupancy records of a particular motel for those date
Anni [7]

Answer:

Confidence interval variance [21.297 ; 64.493]

Confidence interval standard deviation;

4.615, 8.031

Step-by-step explanation:

Given :

Variance, s² = 34.34

Standard deviation, s = 5.86

Sample size, n = 27

Degree of freedom, df = 27 - 1 = 26

Using the relation for the confidence interval :

[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]

From the chi distribition table :

X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844

Hence,

[34.34*26 / 41.923] ; [34.34*26 / 13.844]

[21.297 ; 64.493]

The 95% confidence interval for the population variance is :

21.297 < σ² < 64.493

Standard deviation is the square root of variance, hence,

The 95% confidence interval for the population standard deviation is :

4.615 < σ < 8.031

3 0
3 years ago
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