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solniwko [45]
3 years ago
9

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 2,5,8,.

.. ?
Mathematics
1 answer:
DochEvi [55]3 years ago
6 0

Answer:

Arithmetic sequence with common difference of 3.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, and this difference is called common difference.

Geometric sequence:

The quotient between consecutive terms is always the same, and this quotient is called common ratio.

In this question:

5 - 2 = 8 - 5 = 3

5/2 = 2.5 different of 8/5 = 1.6

This means that it is an arithmetic sequence with common difference of 3.

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Answer: about 14pi inches

Explanation:

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The equation y=1/2xrepresents a proportional relationship. What is the Constant of proportionality? A:x. B:1/2 C:2 D:0
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The answer is

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Makovka662 [10]
<h2>Answer with explanation:</h2>

Let p be the proportion of the correct answers.

As per given , we have

H_0: p=0.50

H_a: p>0.50 , since the alternative hypothesis is right tailed , so the test is a one -tailed test.

If the student gets 52 answers correct out of 80.

i.e. the proportion of correct answers : \dfrac{52}{80}=0.65

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.65-0.50}{\sqrt{\dfrac{0.50(0.50)}{80}}}\approx2.68

P-value : P(z>2.68)=0.0037   [ by using p-value table for z (right-tailed)]

Since the p-value(0.0037) is less than the significance level (0.05), so we reject the null hypothesis.

Results : We have enough evidence to support the claim that a student knows more than half of the answers and is not just guessing.

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