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Alinara [238K]
3 years ago
9

The nth term of the sequence -2,1,4,7,10

Mathematics
2 answers:
alex41 [277]3 years ago
8 0

Answer:

Step-by-step explanation:

An = -2+(n-1)3

An=-5+3n

krok68 [10]3 years ago
6 0

soln,

here first term(a)= -2

second term (t2) = 1

common difference (d) = t2 - a

= 1 +2 = 3

now,

nth term = a + (n-1)d

= -2 + ( n - 1) 3

= -2 + 3n - 3

= 3n - 5

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Answer:

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And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

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And replacing we got:

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Step-by-step explanation:

Previous concepts  

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Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:  

X \sim Binom(n=8, p=0.9)  

The probability mass function for the Binomial distribution is given as:  

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Where (nCx) means combinatory and it's given by this formula:  

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And for this case we want to find this probability:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

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