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:
Step-by-step explanation:
A larger set that a particular set can be a subset of is a Universal set. A universal set is parent where all other sets are derived from.
For example, given a universal set U = {1,2,3,4,5}, a set A = {1, 3, 5} is said to be a subset of the set U because the elements of set B are contained in the Universal set U.
Also, sets like {1, 4,5} and {3,4,5} can also be regarded as the subset of U since all the elements of the sets can be found in the Universal set U. Hence the correct name of the set is a UNIVERSAL SET
She walks 3 3/10 mph
In 1/3 an hour she walks 2 1/5 : 2 = 11/10
Answer:
20
Step-by-step explanation:
the lowest number they can all muliply to is 20
20 x 1 = 20
5 x 4 = 20
2 x 10 = 20
Answer:
0.88m²
Step-by-step explanation:
Area of a trapezium = 1/2(a+b)h
a and b are the parallel sides
h is the height
Given
a = 1m
b = 1.2m
h = 0.8m
Substitute
Area of the trapezium = 1/2(1+1.2)(0.8)
Area of the trapezium = 1/2(2.2)(0.8)
Area of the trapezium = 1.1 * 0.8
Area of the trapezium = 0.88m²
