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Thepotemich [5.8K]
3 years ago
15

If there are 736 students in a school, prove that at least three students have a birthday on the same day of the year.

Mathematics
1 answer:
serg [7]3 years ago
4 0

Step-by-step explanation:

736 / 365 = 2R6

So even if the first 365 students all have different birthdays, and the next 365 students also all have different birthdays, then there are 2 students for every birthday.  The last 6 students therefore share a birthday with at least 2 other students.  So there are at least 3 students who share a birthday.

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What os the answer on 4<br> it is saying what is the value of 9
Lana71 [14]
The answer to number four is 90,000.

hope this helps!

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4 0
3 years ago
Assume the exponential growth model ​A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006
Whitepunk [10]

Answer:

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Step-by-step explanation:

We are given the following in the question:

The exponential growth model ​is given by:

A(t) = A_0e^{kt}

where k is the growth rate, t is time in years and A_0 is constant.

The world population is 5.9 billion in 2006.

Thus, t = 0 for 2006

A_0 = 5.9\text{ billions}

We have to find the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Putting these values in the growth model, we have,

24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

8 0
3 years ago
Urgent!! please help )):​
alisha [4.7K]

The 16th term is: 53

Further explanation:

We have to find the general formula first

The general form is:

a_n=a_1+(n-1)d\\Given\\a_1=8\\d=3\\Putting\ the\ values\ in\ the\ formula\\a_n=8+(n-1)(3)\\a_n=8+3n-3\\a_n=5+3n\\For\ 16th\ term, put\ n=16\\a_n=5+3(16)\\a_n=5+48\\a_n=53

The 16th term is: 53

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

  • brainly.com/question/5510873
  • brainly.com/question/5461619

#LearnwithBrainly

4 0
3 years ago
The table shows the inputs and corresponding outputs for the function f(x) = StartFraction 1 Over 8 EndFraction(2)x. A 2-column
asambeis [7]

Answer:

f-1 (1/2) =2,    f-1(8) = 6

Step-by-step explanation:

i did it on edge

5 0
3 years ago
Read 2 more answers
What is the distance between point A and point B?
artcher [175]

Answer:

I would need to see the grapgh

Step-by-step explanation:

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