Answer:
AB = 3.16 units
Step-by-step explanation:
Given:
A(3, -1) and B(6, 0)
To Find:
AB = ?
Solution:
AB = root{(x2 - x1)^2 + (y2 - y1)^2}
AB = root{(6 - 3)^2 + (0 - (-1))^2}
AB = root{(3)^2 + (0 + 1)^2}
AB = root{9 + (1)^2}
AB = root{9 + 1}
AB = root 10
Therefore, AB = 3.16 units
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Answer:
C
Step-by-step explanation:
let n be the number of times letter be found (1800), p be the success rate (0.068), and q be the failure rate (1 - 0.068 = 0.932)
mean = np = 1800 x 0.068 = 122.4
standard deviation = √(npq) = √(1800 x 0.068 x 0.932) = 10.6807414
Answer:
the period of this graph is 2
Step-by-step explanation:
The period is the length of the section that repeats. So for this graph, we need to calculate the distance between 2 peaks or 2 troughs of the curve.
Let's look at the peaks (maximums).
One is at x = 0 and the next is at x = 2
2 - 0 = 2
Therefore, the period of this graph is 2
Given:
- Outer diameter = D = 80 ft
- Inner diameter = d = 40 ft
So,
Outer radius = R = D/2
=> R = (80 ft)/2
=> R = 40 ft
Inner radius = r = d/2
=> r = (40 ft)/2
=> r = 20 ft
Area of paved pathway = πR² - πr²
= π(R² - r²)
= π(R + r)(R - r)
= π(40 + 20)(40 - 20) ft²
= π(60)(20) ft²
= 3.14 * 1200 ft²
= 3768 ft²
