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vlabodo [156]
3 years ago
7

Find a polynomial function f(n) such that f(1), f(2), ... , f(8) is the following sequence.2, 8, 14, 20, 26, 32, 38, 44

Mathematics
1 answer:
zloy xaker [14]3 years ago
3 0
We can recognize the sequence is an arithmetic progression by noticing that the common difference between each term is 6.
f(n) = a+(n-1)d
where f(n) is the sequence 
n is the term number
d is the common difference 
and a is the starting term

We are well aware that our starting term, and hence a, is 2 and our difference, and hence d, is 6.
So our polynomial function is 
<span>f(n) = 2+6(n-1)
</span>
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The test statistic of z=2.08 is obtained when testing the claim that p≠0.611. a. Identify the hypothesis test as being​ two-tail
krek1111 [17]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

When the two-tailed were testing then:

Null and alternative hypothesis:

H_0 : p = 0.611\\\\H_a : p \neq 0.611

Testing the statistics:

\to z = 2.08\\\\P-value = 0.0375\\\\\alpha = 0.01\\\\0.0375> 0.01\\\\P-value < \alpha\\\\

therefore, it fails to reject the null hypothesis.

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3 years ago
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LenKa [72]

Answer:

600 pieces

Step-by-step explanation:

pieces/ time(min) = (395-275) / (22-10) = 120/ 12 = 10

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3 years ago
Does anyone know what the √2.25 is when rewritten as a fraction?
Zinaida [17]

Answer:  \sqrt{\frac{9}{4} }

Step-by-step explanation:

This is what it is as a mixed number

\sqrt{2.25}

= \sqrt{2\frac{1}{4} }

= \sqrt{\frac{9}{4} }

If you want it written in exponential form it would look like this:

(\frac{9}{4}) ^{\frac{1}{2} }

5 0
2 years ago
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2m = 1 + m what do I need to do to solve this problem
Anvisha [2.4K]

First you have to subtract the m on the right from the left so it would just end up being m = 1

Hope this helps

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8 0
3 years ago
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Please help this is the last problem I need
tangare [24]

Answer:

sin 54 = \frac{x}{14}

Step-by-step explanation:

sine = \frac{opposite}{hypotenuse}

Side z is the adjacent, since it is next to the angle you are solving for.

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The side measuring 14 is the hypotenuse, since it is across from the right angle.

sin 54 = \frac{x}{14}

8 0
2 years ago
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