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Schach [20]
2 years ago
11

Please someone help me with this question

Mathematics
1 answer:
const2013 [10]2 years ago
7 0
Basically something like this

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If [infinity] cn8n n = 0 is convergent, can we conclude that each of the following series is convergent? (a) [infinity] cn(−3)n
pashok25 [27]

Answer:

a) we know that this is convergent.

b) we know that this might not converge.

Step-by-step explanation:

Given the \sum^\infty_{n=0}C_n8^n is convergent

Therefore,

(a)  \sum^\infty_{n=0}C_n(-3)^n The power series \sum C_nx^n has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3

∴ \sum^\infty_{n=0}C_n(-3)^n  is convergent.

(b) \sum^\infty_{n=0}C_n(-8)^n -8 could be right on the edge of the interval of convergence, and so might not converge

8 0
3 years ago
From families with four children a family is chosen at random. Let X be the number of boys in the family. Calculate and sketch t
alisha [4.7K]

Solution :

Given :

X = the number of boys in a family of four children

Families having four children are chosen randomly.

The gender distribution in the four child family are equally probable.

Thus,

 X                P(X)                                          CDF

0             ^4C_0 (1/2)^{4}        = 1/16                     \frac{1}{16}

1               ^4C_1 (1/2)^{4}       = 1/4                       \frac{5}{16}

2                ^4C_2 (1/2)^{4}      = 3/8                      \frac{11}{16}

3                ^4C_3 (1/2)^{4}      = 1/4                       \frac{15}{16}

4                  ^4C_4 (1/2)^{4}    = 1/16                      1

4 0
3 years ago
Dan puts 11 of his allowance in his saving account every week how much money will he have after 15 week
liraira [26]

165. Multiply 11 and 15

6 0
3 years ago
Read 2 more answers
Say whether each of these numbers is a fraction, a decimal, or a whole number: ⅗, 18.2, 47!
denpristay [2]

Answer:

Fraction, decimal, whole number

Step-by-step explanation:

if it has a line, it's a fraction. If it has a dot, it's a decimal. If it has none of the above, it's a whole number

6 0
2 years ago
Find the value of n:<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7Bn%7D%20%3D%5Cfrac%7B15%7D%7B6%7D" id="TexFormula1"
Arturiano [62]
4. Cross multiply (10•6) (15•n) 15n=60 you do the opposite operation so instead of multiply 15•n you divided 15 from n. And what u do on one side u do on both. So divide 15 from 60 and u get 4.
7 0
2 years ago
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