Answer:
Step-by-step explanation:
Since the population standard deviation 
is unknown, and the sample standard deviation 
, must replace it, the 
distribution must be used for the confidence interval.
The sample size is n=8.
The degree of freedom is 
, 
.
With 95% confidence level, the 
(significance level) is 5%.
Hence with 7 degrees of freedom, 
. (Read from the t-distribution table see attachment)
The 95% confidence interval can be found by using the formula:
.
The sample mean is 
hours.
The sample sample standard deviation is 
hours.
We now substitute all these values into the formula to obtain:
.
We are 95% confident that the population mean is between 26.12 and 31.48 hours.
Answer:
The answer to your question is:
Domain [0, 8)
Range [-3, 1]
f(0) = -3
Step-by-step explanation:
Domain: is the possible values that the "x" can take
Range: are the values that take the function when is evaluated by the independent variable (x).
For this example:
Domain [0, 8) close is zero and open in 8
Range [-3, 1] close in both sides
f(0) = -3
Answer:
59˚
Step-by-step explanation:
The sum of all the angles in a triangle is always 180 so:
38 + 83 + x = 180
121 + x = 180
x = 59
