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:
(x + 2) (x + 3) = x² + 3x + 2x + 6 = 12 (multiply the binomials)
(x + 2) (x + 3) = x² + 5x + 6 = 12
(x + 2) (x + 3) = x² + 5x + 6-12 = 0 (add the like term and bring the positive 12 to the other side which makes it negative)
x² + 5x + 6 = 0
Using the snowflake method - (finding the factors of 6 that adds/subtracts to give you 5).
This method will give you the factors (x + 6)(x - 1)
ZERO PROPERTY RULE:
(x + 6) = 0
x = -6
(x - 1) = 0
x = 1
The two solutions to the equation are -6 and 1.
The area of the circle is 28 ft square.
The area of the triangle is 30 ft square.
Step-by-step explanation:
1) The area of the circle= π*r^2
where π= 3.14(default value) and "r" is the radius of the circle.
Here, Radius of the circle(r)= 3 ft
Area = 3.14*3*3
= 28.26 ft sq.= 28 ft sq(rounded to the nearest whole number)
2) The triangle has the base= 10 feet and height= 6 feet
The Area of the triangle= 1/2(b)(h)
where "b" is the base and "h" is the height of the triangle.
Substitute b=10 and h=6 ,
Area of triangle= 1/2(10 ft)(6 ft)= 60/2= 30 feet sq.
Answer:
1 and 5/24 gallon left
Step-by-step explanation:
https://www.slader.com/discussion/question/mark-wants-to-paint-a-mural-he-has-113-gallons-of-yellow-paint-114-gallons-of-green-paint-and-78-g-2/
its a reliable link
<span>If Dingane has $8.00, and thirty percent of that money is from five cent coins, then 8 x 0.3 = $2.40 of Dingane's money is made of five cent coins. In this case the number of five cent coins is the number of cents divided by five: 240/5 = 48. Therefore, Dingane has forty-eight five-cent coins.</span>