The Drama Club is selling tickets to a high school play. Student tickets cost $5 and general admission tickets cost $8. They sel
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Answer:
x=19
Step-by-step explanation:
First, you place the numbers in place of the variables in their relative positions using the pythagorean theorem:
Then you square the numbers that you currently have:
Then subtract 225 from both sides to isolate the x:
This gives you the equation:
Then take the square root of both sides which gives you:
Then round to the nearest whole number which gives you x=19
Answer:
95% Confidence interval for the variance:
95% Confidence interval for the standard deviation:
Step-by-step explanation:
We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².
The sample, of size n=8, has a standard deviation of s=2.89 miles.
Then, the variance of the sample is
The confidence interval for the variance is:
The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:
Then, the confidence interval can be calculated as:
If we calculate the square root for each bound we will have the confidence interval for the standard deviation: