For this case we must write in algebraic symbology the expression described above:
We have an equation, then:
- x squared plus y squared:
- minus 2x plus 7y plus 1:
- equals zero:
We construct the equation:
Answer:
A newspaper surveyed households to determine how likely they were to subscribe to their publication. The results are shown below
1 answer:
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
The sample
Household Income
< $60,000 > $60,000
I would never purchase a newspaper subscription. 40 63
I might or might not purchase a newspaper subscription. 53 70
I would probably purchase a newspaper subscription. 65 32
I already purchase a newspaper subscription. 73 16
Generally the sample size is mathematically represented as
=>
Generally the number of the sample with an income greater $60,000 is mathematically represented as
=>
Generally the number of families with an income more than $60,000 who might or might not purchase a newspaper subscription is
Generally the percentage of families with an income more than $60,000 who might or might not purchase a newspaper subscription is
=>
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Answer:
Convergent and divergent are explained with examples.
If limit exist and partial sum converges or individual term approaches zero then series is convergent otherwise divergent and further checked by methods explained below.
Step-by-step explanation:
Given:
Explanatory Question on convergent and divergent series
To Find :
What are convergent and divergent series?
Solution:
Convergent series:
A series said to be convergent when the limits of the series converges to the finite possible value for the series.
Consider a series
Sn=a1+a2+a3+a4+........+an
this form a new series as ,
Sn(n=1 to infinity)=
=s.
It is important that, partial sum of series, there should be a limit existed and that is finite in nature then only series converges.
The geometric series gives proper idea how limit decides the convergent and divergent nature.
A series in which the individual term ,approaches zero then series is convergent in nature but not for all time.
The series,
- A convergent series is series for which limit exist.
- If the sequence of partial sum is convergent sequence.
G(r,c)= r+c
where r≠1 then series is converges.
Divergent series:
A series is infinite series with which does not converges at any point ,
had a infinity sequence of partial sums with no finite limit.
A series where individual sum does not approaches zero diverges.
For e.g.
This series diverges.
Or harmonic series which diverges.
Where is limit tends to infinity ,eventually series added up to infinity means no exact answer will be there.
For summing the divergent series there method as :
- FFT
- extrapolation methods.
- Abelian theorems
- Regularity,linearity and stability test for the series.
If these test are checked then we will get to know that which series diverges and converges.