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:
Answer:
The larger number is 69 and the smaller number is 35.
Step-by-step explanation:
Find the equations. Here x will be the larger number and y will be the smaller number.
x + y = 104
x = 2y -1
Substitute:
(2y -1) + y = 104
3y = 105
y = 35
x = 2(35) - 1
x = 70 - 1
x = 69
The larger number is 69 and the smaller number is 35.
Answer:
plugging in the fractions into a calculator would make this super easy
Step-by-step explanation:
5/6 = six divided by five, right? okay so just that down and solve it
Fractions are just a number divided by another number to get a percentage
Think about 1/2, thats 50 percent right? Its half of something
So yeah, you just gotta divide both sides and see which number is bigger, for example
5/6= 0.833
and
3/8= 0.375
So which number is bigger? 0.83 is bigger of course sooooo
5/6 > 3/8
It would be 3,600 - 30 = 3570