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sleet_krkn [62]
3 years ago
9

How do you prove that infinite sequences converge? For example how did someone prove that 1 + 1/4 + 1/9 + 1/16 + 1/25 ..... conv

erges to π^2/6. Can someone explain how people do this, and the process to discovering whether or not infinite sequences diverge or converge? An answer fully explaining the process, that is also fairly clear will receive a brainiliest.
Mathematics
1 answer:
dem82 [27]3 years ago
4 0

Answer:Prove that for any nonzero natural

n

it is true that

Sn=1+1/4+1/9+1/16+1/25+1/2<2

I'm sort of at a loss here. I'm not sure if there exists some formula or method to sum this kind of series, since there is a variable ratio…

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The wingspans of a common species of housefly are normally distributed with a mean of 5mm and a standard deviation of 0.5mm. Sup
Anuta_ua [19.1K]

Answer:

Approximately Normal

Step-by-step explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.

6 0
2 years ago
I need help with this I don't understand this math
Dmitriy789 [7]

The exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.

<h3>What is correlation?</h3>

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}

We have data shown in the table:

We can find the exponential regression equation using the data shown.

\rm y = ab^x

After calculating from the data:

a = 172.21 and b = 0.99

\rm y = 172.21(0.99)^x

The correlation coefficient will be:

r = -0.99

The range will be all real numbers.

The domain will be y > 0

As we can see in the graph x ∈R and y>0

After an hour,

Plug x = 60 minutes in the exponential regression equation:

\rm y = 172.21(0.99)^{60}

y = 94.22 degree Fahrenheit

After 4 hours, plug x = 240

\rm y = 172.21(0.99)^{240}

y = 15.43 degree Fahrenheit

 

Similarly, we can find any data from the exponential regression equation.

Thus, the exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ1

7 0
2 years ago
2 2/7× 5 1/6<br><br>what is the answer to this question pls tell me ​
hodyreva [135]

Answer:

7 19/42

Step 1:

Convert the mixed fractions into improper fraction (Denominator will be same)

2x7+2= 16/7

5x6+1=31/6

Step 2:

LCM of 6 and 7 are 42

Step 3:

217+96/42= 313/42

Step 4:

Covert to mixed fraction so the answer is 7 19/42

7 0
2 years ago
Read 2 more answers
Please answer this, thank you
olga_2 [115]

Answer:

3

Step-by-step explanation:

I have showed the steps in the attached image.

7 0
3 years ago
Domain is the set of all input values, while range is the set of all: a. independent variables c. relations b. output values d.
Pavlova-9 [17]

Answer:

b

Step-by-step explanation:

4 0
2 years ago
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