√118 as an irrational number rounded to nearest hundredth
2 answers:
Answer:
10.86
Step-by-step explanation:
If you solve for , you get the number 10.86278049... It is an irrational number because you can't expresse it with a fraction and it has infinite decimal places that don't follow a sequence.
To round it to the nearest hundred you will have to only leave 2 decimal places:
From the number 10.86278049, you only want to have the first 2 decimal places, but we have to take 3 decimal places first to analyze:
<em>10.862</em>
In this case, we see the third decimal place which is a 2, if the third decimal place was 5 or bigger then the second will have to be changed to a number bigger, but in this case, it is 2 so we can leave it like it is and we will have as an answer 10.86
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Answer:
And for this case we want to test the following hypothesis:
Null hypothesis:
Alternative hypothesis:
For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000
Step-by-step explanation:
The confidence interval for the mean is given by the following formula:
(1)
And for this case the 95% confidence interval is already calculated as:
And for this case we want to test the following hypothesis:
Null hypothesis:
Alternative hypothesis:
For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000