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
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.

You might be interested in
Use the rewritten formula to find the width of a rectangle with an area of 42 square inches and a length of 16.8 inches.
Leviafan [203]
Length * Width = Area

Width = Area / Length

W = 42 / 16.8

W = 2.5 inches
4 0
3 years ago
Read 2 more answers
The roof of the Terminal Tower is 709 feet above ground. A window washer dropped a bucket from the edge of the roof. How many se
Masja [62]

Answer:

6.64 seconds

Step-by-step explanation:

Given that:

Distance between roof of the terminal and ground = 709 feet

A bucket was dropped from the roof.

To find:

The time taken by the bucket to hit the ground?

Solution:

Distance traveled, s = 709 feet

Initial velocity of the bucket, u = 0 feet/sec (because initially it was at rest)

Acceleration of the bucket will be equal to acceleration due to gravity i.e.

g or 32.1741 ft/sec^{2}

Let the time taken is t seconds.

Formula for distance is given as:

s = ut+\dfrac{1}{2}at^2

Putting all the values:

709 = 0 (t) + \dfrac{1}{2}(32.1741) t^2\\\Rightarrow 1418 = 32.1741 t^2\\\Rightarrow t^2 = 44.07\\\Rightarrow t \approx \bold{6.64\ sec}

6 0
3 years ago
PLS HELP ME QUICK BRAINLIEST +15 POINTS!!!!!
Ipatiy [6.2K]

Answer:

3/4

Step-by-step explanation:

The mean of a data set is synonymous with the average. To find the mean, add up all the values in the data set and then divide by the number of elements.

From the table, there is 12 values. Thus, add up all the 12 values and then divide by 12:

\bar x=\frac{(-3)+4+8+(-1)+(-4)+(-2)+0+2+5+2+(-3)+1}{12}

Simplify:

\bar x=\frac{9}{12}

Reduce:

\bar x=3/4

Therefore, the mean of the data set is 3/4.

For the data set, this means that the average person guesses the temperature too high by about 3/4°F.

(Note: the symbol of x with a bar over it denotes the mean of a set)

7 0
3 years ago
HELP FAST I WILL MARK AS BRAINLIEST.
vodka [1.7K]

Answer:

  • s = 1/3(a + b + c + 16)

Step-by-step explanation:

<h3>Given</h3>
  • If (s -a) = 5cm, (s -b) = 10cm, (s -c) = 1cm
  • s = ?
<h3>Solution</h3>

<u>Add up the 3 equations and solve for s:</u>

  • s - a + s - b + s - c = 5 + 10 + 1
  • 3s = 16 + a + b + c
  • s = 1/3(a + b + c + 16)
7 0
3 years ago
Half of the sum of 32 and 2
dimaraw [331]

Answer:

17

Step-by-step explanation:

32+2=34

34/2= 17

7 0
3 years ago
Other questions:
  • Find the circumference of a circle whose diameter is 4
    6·1 answer
  • Identify(describe) each part of the ellipse as labeled by a letter​
    5·1 answer
  • Rounded to the nearest thousandth, what is the decimal equivalent of?
    13·1 answer
  • A family has two cars during one particular week the first car consume 25 gallons of gas and the second consumed 15 gallons of g
    13·1 answer
  • Round 113.04 to the nearest foot
    12·2 answers
  • If m and n vary directly and m=3 when n=2, what is the value of m when n=4<br> no
    10·1 answer
  • 6 x 10-5 than 5 x 10-9
    9·2 answers
  • can someone help me find the slope . and tell me how you got the steps and answer. question-What is the slope of the line that p
    15·1 answer
  • What are some of the reasons for Venus’s high temperatures?
    13·1 answer
  • Find the following sets
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!