Find the domain of the function below and write it in interval notation.
1 answer:
<h3>Answer: [-3, 2)</h3>
Explanation:
The domain is the set of all allowed x inputs of a function.
The smallest x can get is x = -3 as shown by the left-most point.
The largest x can get is x = 2, though we can't actually reach this value due to the open hole at the right-most point.
The interval of all possible x values is which converts to the interval notation [-3, 2)
We use a square bracket to include the endpoint and a parenthesis to exclude the endpoint.
We can say "x is any number between -3 and 2, including -3 but excluding 2".
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Answer:
The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 23 - 1 = 22
88% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.6176
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1.64 - 2.94 = -1.30 lbs
The upper end of the interval is the sample mean added to M. So it is 1.64 + 2.94 = 4.58 lbs
The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.