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ivolga24 [154]
3 years ago
12

What is 0.267 rounded off to 1 significant figure

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
5 0
The answer is 0.3

Do you want me to explain?
devlian [24]3 years ago
5 0
0.3 is the answer hope this helps:)
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<span>The geometric mean of 6 and 96 = sqrt(6 * 96) = sqrt(576) = 24</span>
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Reduce any fractions to lowest terms.Don’t round your answer, and don’t use mixed fractions
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Answer:

t < \frac{38}{17}

Step-by-step explanation:

Add '5t' to both sides

12t - 2 +5t < -5t +36 +5t

17t -2 < 36

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17t -2 +2 < 36 + 2

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Answer:

Null hypothesis:\mu = 52.6  

Alternative hypothesis:\mu \neq 52.6  

z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976    

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Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

Step-by-step explanation:

Information provided

\bar X=52.8 represent the sample mean  for the MPG of the cars

\sigma=1.6 represent the population standard deviation

n=250 sample size  of cars

\mu_o =52.6 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test

Hypothesis

We need to conduct a hypothesis in order to check if the true mean of MPG is different from 52.6 MPG, the system of hypothesis would be:  

Null hypothesis:\mu = 52.6  

Alternative hypothesis:\mu \neq 52.6  

Since we know the population deviation the statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Calculate the statistic

Replacing we have this:

z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976    

Decision

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

p_v =2*P(z>1.976)=0.0482  

Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

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