The relation between A and B subset is A⊆B
What is Subsets?
A set "X" is said to be the subset of "Y" is each elements of X is present in Y and is denoted by X⊆Y.
It should be noted that In roster notation, the use of the {" and "} character indicates that a set of numbers is a collection of elements, which can either be a finite or infinite collection.
Thus in the given question :
A={summer, autumn, spring, winter}
B={summer, winter}
"summer" and "winter" elements of B which is common and also presents in A therefore, B is subset of A and is denoted as A⊆B.
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The total area is 1289.41 units².
The total perimeter is 281.32 units.
<h3>What is the total area and perimeter?</h3>
The first step is to determine the side lengths of the other squares:
- Length of the second square = 2/3 x 27 = 18
- Length of the third square = 2/3 x18 = 12
- Length of the fourth square = 2/3 x 12 = 8
- Length of the fifth square = 2/3 x 8 = 5.33
Area of a square = length²
Perimeter of a square = 4 x length
- Area of the first square = 27² = 729
- Area of the second square = 18² = 324
- Area of the first square = 12² = 144
- Area of the first square = 8² = 64
- Area of the first square = 5.33² = 28.41
Total area = sum of the areas of the 5 squares = 1289.41 units²
- Perimeter of the first square = 4 x 27 = 108 units
- Perimeter of the second square = 4 x 18 = 72
- Perimeter of the third square = 4 x 12 = 48
- Perimeter of the fourth square = 4 x 8 = 32
- Perimeter of the fifth square = 4 x 5.33 = 21.32
Total perimeter = 281.32 units
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215 seconds
100/120=.833
.833×258= 215
Answer:
from the t-distribution table, at df = 7 and t = 2.23
Lies p-values [ 0.05 and 0.025 ]
Hence;
0.025 < p-value < 0.05
Step-by-step explanation:
Given that;
= 6.5 gpm
μ = 5 gpm
n = eight runs = 8
standard deviation σ = 1.9 gpm
Test statistics;
t = ( - μ) / 
we substitute
t = (6.5 - 5) / 
t = 1.5 / 0.67175
t = 2.23
the degree of freedom df = n-1 = 8 - 1
df = 7
Now, from the t-distribution table, at df = 7 and t = 2.23
Lies p-values [ 0.05 and 0.025 ]
Hence;
0.025 < p-value < 0.05
