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VladimirAG [237]
3 years ago
7

How do I find the first four terms of the sequence?

Mathematics
1 answer:
vivado [14]3 years ago
8 0

well your first term is obviously 5, then substitite n for 2, 3, and 4

a2 = a1+5 --> a2 = 12

a3 = a2 +5 --> a3 = 17

a4 = a3+ 5 --> a3 = 22

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A survey of 1 comma 558 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying
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Answer with explanation:

Let  p be the proportion of adults have heard of the new electronic reader.

Given claim : The accompanying technology display results from a test of the claim that 38​% of adults have heard of the new electronic reader.

i.e. p=0.38

Then , the set of hypothesis will be :-

H_0: p=0.38\\\\H_a:p\neq0.38

Since, the alternative hypothesis is two tailed , so the test is two-tailed test.

Also, it is given that the sample size : n=1558

Number of adults showed that they have heard of a new electronic reader=522

So the sample proportion for adults have heard of the new electronic reader : \hat{p}=\dfrac{522}{1558}\approx0.34



The test statistic for proportion is given by :-

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\\Rightarrow\ z=\dfrac{0.34-0.38}{\sqrt{\dfrac{0.38(1-0.38)}{1558}}}\\\\\\\Rightarrow\ z=-3.25279036541\approx-3.25

By using standard normal distribution table , the P-value for two tailed test corresponds to the obtained z-value ==0.0011541

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