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Aleonysh [2.5K]
3 years ago
5

Which is an equation for the nth term of the sequence?

Mathematics
2 answers:
Crank3 years ago
6 0

Answer:  The correct option is (B) a_n=3n+9.

Step-by-step explanation:  We are given to select the equation that represents the nth term of the following sequence :

12,   15,   18,   21,  .    .   .

We see that

the given sequence is an arithmetic one with first term a = 12  and common difference d given by

d = 15 - 12 = 18 - 15 = 21 - 18 =  .   .   .   =3.

We know that

the nth term of an arithmetic sequence with first term a and common difference d is given by

a_n=a+(n-1)d.

Therefore, the nth term of the given sequence is

a_n=a+(n-1)d=12+(n-1)\times3=12+3n-3=3n+9.

Thus, the required nth term of the given sequence is a_n=3n+9.

Option (B) is CORRECT.

bulgar [2K]3 years ago
5 0
The answer is a I think
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In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A
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Answer:

c) P(270≤x≤280)=0.572

d) P(x=280)=0.091

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The mean of this distribution will be:

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The standard deviation will be:

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z=(x-\mu_s)/\sigma_s=(440-450)/6.7=-10/6.7=-1.49\\\\P(z>-1.49)=0.932

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The standard deviation will be:

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c) The probability that between 270 and 280 out of 300 shipments are acceptable can be calculated with the z-score and using the continuity factor, as this is modeled as a continuos variable:

P(270\leq x\leq280)=P(269.5

d) The probability that 280 out of 300 shipments are acceptable can be calculated using again the continuity factor correction:

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