Answer:
Range = 3
Variance = 0.6475
Standard Deviation = 0.804
Step-by-step explanation:
The steps and tables is shown in the attachment.
Answer:
1.) 
2.) 
Give me a comment if you want the explanation.
1.) 
2.)
A = C²/(4π)
A = (56.52 in)²/(4π) ≈ 254.2 in² . . . . the area of the rug
Answer:
≥≤ are used when the number is less/greater or equal than some thing.
>< are used when a number is strictly less/greater than some thing.
1) a number x is less than 0 or at least 3
A number x is less than 0 is written as: x < 0.
x is at least 3 is written as: x ≥ 3.
Then we can write the statement as:
x < 0 ∨ x ≥ 3.
where ∨ means "or"
2) a number x is less than or equal to 4 and greater than -1
x less than or equal to 4 is written as: x ≤ 4
x is greater than -1 is written as: x > - 1.
We can write the statement as:
-1 < x ≤ 4
3) a number x is less than 8 and greater than or equal to 5
x is less than 8 is written as: x < 8
x is greater than or equal to 5 is written as: x ≥ 5.
Then the statement can be written as:
5 ≤ x < 8,
