The greatest common factor would be 1 because it is the only one they have in common
The side AB measures option 2. 
units long.
Step-by-step explanation:
Step 1:
The coordinates of the given triangle ABC are A (4, 5), B (2, 1), and C (4, 1).
The sides of the triangle are AB, BC, and CA. We need to determine the length of AB.
To calculate the distance between two points, we use the formula 
where (
) are the coordinates of the first point and (
) are the coordinates of the second point.
Step 2:
For A (4, 5) and B (2, 1), () = (4, 5) and () = (2, 1). Substituting these values in the distance formula, we get
So the side AB measures units long which is the second option.
Answer: 89.7 ft
<u>Step-by-step explanation:</u>
Find the arc length (s) of the semi-circle. Then divide that length by 7.
s = r · θ where r is the radius and θ is the angle in radians
s = (400 ÷ 2) · π <em>(radius is diameter divided by 2)</em>
= 200π
= 628.3
The length of the arc is 628.3 ft. Divide that by 7 to find the distance between each home.
628.3 ÷ 7 = 89.7
Answer:
0.61596
Step-by-step explanation:
Given that:
λ = 5 (5 errors per page)
Poisson distribution formula :
P(x = x) = (λ^x * e^-λ) / x!
Probability that page does not need to be retyped means that error on page is less than or equal to 5
P(x ≤ 5) = p(x = 5) + p(x = 4) +... + p(x = 0)
The individual probabilities can be obtained using the formula above or the use of a calculator
P(x ≤ 5) = 0.17547 + 0.17547 + 0.14037 + 0.08422 + 0.03369 + 0.00674
P(x ≤ 5) = 0.61596
There is an invisible +0 at the end. this means the y intercept is 0
