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zimovet [89]
3 years ago
15

How do I write an explicit rule for this sequence?

Mathematics
2 answers:
Vaselesa [24]3 years ago
8 0

Answer:

next should be 2250 if my math is correct

jeyben [28]3 years ago
4 0

Answer:

a_{n} = 10(5)^{n-1}

Step-by-step explanation:

Note that consecutive terms have a common ratio, that is

50 ÷ 10 = 250 ÷ 50 = 1250 ÷ 250 = 5

This indicates that the sequence is geometric with n th term ( explicit rule )

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio,

Here a = 10 and r = 5, thus

a_{n} = 10(5)^{n-1} ← explicit rule

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We first need to pick the correct piece to use. In this case, we will use f(x) = -x-5 because -5<=-4.

Then, we use direct substitution:
f(-4) = -(-4) - 5
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The high school has 26 teachers and 546 students. What is the ratio of teachers to students?
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Some college graduates employed full-time work more than hours per week, and some work fewer than hours per week. We suspect tha
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Answer:

a)Null hypothesis:\mu =40      

Alternative hypothesis:\mu \neq 40      

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Data given

\bar X=43 represent the sample mean

\mu population mean (variable of interest)

s=4 represent the sample standard deviation

n represent the sample size  

Part a: System of hypothesis

We need to conduct a hypothesis in order to determine if actual mean is different from 40 , the system of hypothesis would be:    

Null hypothesis:\mu =40      

Alternative hypothesis:\mu \neq 40      

Part b

In th context of this tes, what is a Type I error?

A Type of error I is reject the hypothesis that \mu is equal to 40 when is fact [tex]\mu is equal to 40

Part c

Suppose that we decide not to reject the null hypothesis. What sort of error might we be making.

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