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Alisiya [41]
3 years ago
11

Find the 96th term of the arithmetic sequence 1, -12, -25, ...

Mathematics
1 answer:
goldenfox [79]3 years ago
6 0

Answer:

The 96th term of the arithmetic sequence is -1234.

Step-by-step explanation:

first term (a)=1

second term (t2)=-12

common difference (d)= t2-a

d=-12-1

d=-13

96th term (t96)=?

We know that,

t96=a+(n-1)d

t96=1+(96-1)(-13)

t96=1+95(-13)

t96=1-1235

t96=-1234

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Step-by-step explanation:

Write in standard form.

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On a certain function machine, an input of 3 has an output of -6. An input of -2 has an output of 4. An input of 0 has an output
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Given that z is a standard normal random variable, find z for each situation. The area between 0 and z is .4750. Answer The area
algol13

Answer:

P(0

And solving for z we have

P(Z

And we can find the value for z with the following excel code:

"=NORM.INV(0.975,0,1)"

And we got z =1.96

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And we can use the complement rule and we got:

P(Z>z) = 1-P(Z

P(Z

And we can find the value for z with the following excel code:

"=NORM.INV(0.8686,0,1)"

And we got z =1.120

P(Z

And we can find the value for z with the following excel code:

"=NORM.INV(0.67,0,1)"

And we got z =0.440

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

We want this probability:

P(0

And solving for z we have

P(Z

And we can find the value for z with the following excel code:

"=NORM.INV(0.975,0,1)"

And we got z =1.96

For the next part we want to calculate:

P(Z>z)= 0.1314

And we can use the complement rule and we got:

P(Z>z) = 1-P(Z

P(Z

And we can find the value for z with the following excel code:

"=NORM.INV(0.8686,0,1)"

And we got z =1.120

For the next part we want to calculate:

P(Z

And we can find the value for z with the following excel code:

"=NORM.INV(0.67,0,1)"

And we got z =0.440

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Answer:

tree? heh

Step-by-step explanation:

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