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Rufina [12.5K]
3 years ago
9

Find the first four terms of the arithmetic sequence where a1 = 2 and d = 5 (use formula)

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer:

first four terms are 2, 7, 12, 17

Step-by-step explanation:

use this formula:  a_{n} = a_{1} + (n - 1)· d

where 'n' equals the position in the sequence the term is in and 'd' is the common difference

if a_{1} = 2 and d = 5 are given, plug those into formula

a_{1} = 2

a_{2} = 2 + (2 - 1)·5 = 2+5 = 7

a_{3} = 2 + (3 - 1)·5 = 2+2(5) = 12

a_{4} = 2+(4 - 1)·5 = 2+3(5) = 17

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Please help! I don't understand how to solve this problem
Ilia_Sergeevich [38]

Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

Assuming an uniform distribution, the standard deviation is given by:

S = \sqrt{\frac{(4 - 0)^2}{12}} = 1.1547

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The sample size is found solving for n when the margin of error is of M = 0.006, hence:

M = z\frac{\sigma}{\sqrt{n}}

0.006 = 1.96\frac{1.1547}{\sqrt{n}}

0.006\sqrt{n} = 1.96 \times 1.1547

\sqrt{n} = \frac{1.96 \times 1.1547}{0.006}

(\sqrt{n})^2 = \left(\frac{1.96 \times 1.1547}{0.006}\right)^2

n =  142,282.

A sample of 142,282 should be taken, which is not practical as it is too large of a sample.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
1 year ago
PLEASE HELP I need explanation if you can’t provide it’s ok thanks anyways
uranmaximum [27]

Answer:

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V = (1/3) x base area x height

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Option D is correct

Hope this helps!

:)

3 0
3 years ago
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DerKrebs [107]

Step-by-step explanation:

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3 years ago
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Please help and show work if you can​
laila [671]

Answer:

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Step-by-step explanation:

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25.

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