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marin [14]
3 years ago
5

Given a set of data with the Regression Line: y = 3.5x + 18.5

Mathematics
1 answer:
Tomtit [17]3 years ago
4 0

Answer:

1.5

Step-by-step explanation:

y=3.5*100+18.5=368.5\\rv=370-368.5=1.5

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Idk how to do this equation
AveGali [126]
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7 0
3 years ago
Use any of the methods to determine whether the series converges or diverges. Give reasons for your answer.
Aleks [24]

Answer:

It means \sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6} also converges.

Step-by-step explanation:

The actual Series is::

\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}

The method we are going to use is comparison method:

According to comparison method, we have:

\sum_{n=1}^{inf}a_n\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n

If series one converges, the second converges and if second diverges series, one diverges

Now Simplify the given series:

Taking"n^2"common from numerator and "n^6"from denominator.

=\frac{n^2[7-\frac{4}{n}+\frac{3}{n^2}]}{n^6[\frac{12}{n^6}+2]} \\\\=\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{n^4[\frac{12}{n^6}+2]}

\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n=\sum_{n=1}^{inf} \frac{1}{n^4}

Now:

\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\ \\\lim_{n \to \infty} a_n = \lim_{n \to \infty}  \frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\=\frac{7-\frac{4}{inf}+\frac{3}{inf}}{\frac{12}{inf}+2}\\\\=\frac{7}{2}

So a_n is finite, so it converges.

Similarly b_n converges according to p-test.

P-test:

General form:

\sum_{n=1}^{inf}\frac{1}{n^p}

if p>1 then series converges. In oue case we have:

\sum_{n=1}^{inf}b_n=\frac{1}{n^4}

p=4 >1, so b_n also converges.

According to comparison test if both series converges, the final series also converges.

It means \sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6} also converges.

5 0
3 years ago
What is the volume of the right rectangular prism? Enter your answer in the box. cm³ A rectangular prism with a length of 6.1 ce
Vanyuwa [196]
I think the answer is 263.52. Hope it's right!
4 0
3 years ago
am and Lou need a total of 1 foot of wire for a science project. Sam’s wire measured 8/12 foot long. Lou’s wire measured 7/8 foo
slamgirl [31]

Answer:

they have enough wire.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Una caja tiene 60 bombones eba se comio 1/5 bombones y ana 1/2 bombones cuantos bombones se comio eba y ana
DedPeter [7]

Responder:

42 bombones

Explicación paso a paso:

Dado que :

Número de bombones = 60

Cantidad consumida por Eba = 1/5 * 60 = 12

Cantidad comida por Ana = 1/2 * 60 = 30

Cantidad de chocolate que comieron Eba y Ana:

(12 + 30) = 42

De ahí que Ana y Eba se comieran 42 bombones

7 0
2 years ago
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