For this problem, the most accurate is to use combinations
Because the order in which it was selected in the components does not matter to us, we use combinations
Then the combinations are 
n represents the amount of things you can choose and choose r from them
You need the probability that the 3 selected components at least one are defective.
That is the same as:
(1 - probability that no component of the selection is defective).
The probability that none of the 3 selected components are defective is:
Where 
is the number of ways to select 3 non-defective components from 117 non-defective components and 
is the number of ways to select 3 components from 120.
So:
Finally, the probability that at least one of the selected components is defective is:
P = 7.4%
Answer:
Step-by-step explanation:
y^2-22y+c
complete the square ax^2+bx+c is our old formula quadratic equation
we know that to find c we will divide b/2 and square it
22/2=11
c^2=121
we have y^2-22y+121
The square of a binomial is written like
In your case, you have 
, which implies 
So, we want to write
But our left hand side is
If we add 26 to both sides, we have
Answer:
111 m²
Step-by-step explanation:
A rectangle is a quadrilateral (has four sides and four angle) with two pairs of parallel sides. Opposite sides of a rectangle are equal to each other. Also all the angles of a rectangle are 90° each.
The area of a rectangle = length * width
For rectangle 1, length = 12 m, width = 3 m
Therefore area of rectangle 1 = length * width = 12 m * 3 m = 36 m²
For rectangle 2, length =(12 m - 3 m - 3 m) = 6 m, width =(15 m - 10 m) =5 m
Therefore area of rectangle 2 = length * width = 6 m * 5 m = 30 m²
For rectangle 3, length = 15 m, width = 3 m
Therefore area of rectangle 3 = length * width = 15 m * 3 m = 45 m²
Area of composite shape = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Area of composite shape = 36 m² + 30 m² + 45 m² = 111 m²
Step-by-step explanation:
(4,-30) i am not 100% sure about it.
