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bekas [8.4K]
3 years ago
10

Combinatorics problem. A web site was hit 300 times over a period of 15 days Show that over some period of 3 consecutive days, i

t was hit at least 60 times.
Mathematics
1 answer:
crimeas [40]3 years ago
6 0

Answer:

There is a period of 3 consecutive days in which the website was hits at least 60 times.

Step-by-step explanation:

A web site was hit 300 times over a period of 15 days.

To solve this question we will use the Pigeonhole Principle.

Here, n = 300 and k = 5

We will find \frac{n}{k} to get that there is a hole with at least \frac{300}{5}=60 pigeons.

Hence, there is a period of 3 consecutive days in which the website was hits at least 60 times.

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One cup of​ grated, fresh Parmesan cheese weighs 3 ounces. How many cups of grated cheese can you expect to get from a​ 4.5-poun
Ksenya-84 [330]

Answer:

9 cups

Step-by-step explanation:

If one pound is equal to 2 cups, then you would multiply 2 by 4, which gives you 8. If one pound equals 2 cups, then half a pound equals 1 cup. So since we already have 8 cups, you just add one more cup, which gives you 9 cups total

SUMMARY: You can expect to get 9 cups of grated parmesan cheese from a 4.5-pound block.

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2 years ago
You have entered a pie baking contest. In the contest, you must make several pies for the judges to taste. You will make your fa
andreyandreev [35.5K]

Answer:

x=2.5 cups are needed  for 2 pies

Step-by-step explanation:

4/5 or 0.8

Fraction form: 4/5x = 2   x= 5/4

Decimial form: 0.8x = 2   x = 2.5

Mixed number form: 2 1/2

Hope that helped :)

8 0
2 years ago
A factory can produce 3,120 cars in a week. Which beat estimate of how many cars the factory can produce in 4 weeks. Please Help
musickatia [10]

3120 times 4 which is 12,480 which is close to 1200 so c is ur answer

3 0
3 years ago
Read 2 more answers
Three people divide up a large pizza. If the first person gets half and the second person gets half as much as the first person
Eduardwww [97]
So, if the first person takes half of the pizza, half of the pizza is left.
If the second person takes half of the amount the first person took, that would be a quarter of the pizza left. 

TL;DR - There is 1/4 of the pizza left
7 0
3 years ago
The test scores of a geometry class are given below. 90, 75, 72, 88, 85 The teacher wants to find the variance for the class pop
ella [17]
The data given as a whole would be called ungrouped data. Now to get the variance, you will need the formula:

s^2=   <u>Σ(x-mean)^2</u>
                   n      

x = raw data
mean = average of all data
n = no. of observations
s^2 = variance

Now we do not have the mean yet, so you have to solve for it. All you need to do is add up all the data and divide it by the number of observations. 

Data: <span>90, 75, 72, 88, 85        n= 5  
</span>Mean=<u>Σx</u>
            n
Mean = <u>90+75+72+88+85 </u>  = <u>410</u> = 82
                        5                        5

The mean is 82. Now we can make a table using this.

The firs column will be your raw data or x, the second column will be your mean and the third will be the difference between the raw data and the mean and the fourth column will be the difference raised to two. 

90-82 = 8
8^2 =64

75-82 = -7
-7^2 =49

72-82 = -10
-10^2=100

88-82=6
6^2 = 12

85-82=3
3^2=9

Now you have your results, you can now tabulate the data:

 x      mean         x-mean        (x-mean)^2     
90       82                8                      64                       
75       82               -7                      49
72       82              -10                    100
88       82                6                       36
85       82                3                       9

Now that you have a table, you will need the sum of (x-mean)^2 because the sigma sign Σ in statistics, means "the sum of."

64+49+100+36+9 = 258

This will be the answer to your question. The value of the numerator of the calculation will be 258.

 
<u>
</u>
6 0
3 years ago
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