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artcher [175]
3 years ago
10

What is the common difference between ratio between successive terms in the sequence 1.5, 1.2, 0.96, 0.768

Mathematics
2 answers:
nikklg [1K]3 years ago
6 0

First, we should see if there are any common differences. We do this by subtracting each term from its previous:

1.5 - 1.2 = 0.3

1.2 - 0.96 = 0.24

Already, we can tell that there is no common difference.

Let's look at common ratio:

1.2/1.5 = 0.8

0.96/1.2 = 0.8

0.768/0.96 = 0.8

Therefore, there is a common ratio and it is 0.8.

sladkih [1.3K]3 years ago
4 0

Answer:

Answer is D: 0.8

Step-by-step explanation:

r = 1.2 / 1.5 = 0.8

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Answer:

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Step-by-step explanation:

Data given and notation  

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t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

Part 1

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:  

Null hypothesis:\mu = 120  

Alternative hypothesis:\mu \neq 120  

If we analyze the size for the sample is > 30 and we  know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

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Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636    

P-value

Since is a two sided test the p value would be:  

p_v =2*P(z  

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