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:5x7=35
8x5=40
Step-by-step explanation: well first think of what number can divide into 40 and 35 and come out as 5. So for example 35 divided 7 equals 5 and 40 divided 8 = 5 so the missing number is either 8 or 7
The height of the ramp above the ground from its highest end is 7.9 inches.
<h3>What is height?</h3>
Height is the vertical distance between two points.
To calculate the height of the ramp above the ground, we use the formula below.
Formula:
- h = Lsin∅............. Equation 1
Where:
- h = Height of the ramp above the ground
- L = Length of the fiberboard
- ∅ = Angle of elevation from the ground
From the question,
Given:
Substitute these values into equation 1
- h = 27×sin17°
- h = 7.89
- h ≈ 7.9 inches
Hence, the height of the ramp above the ground is 7.9 inches.
Learn more about height here: brainly.com/question/23144757
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Take into account, that in general, a cosine function of amplitude A, period T and vertical translation b, can be written as follow:
In the given case, you have:
A = 4
T = 3π/4
b = -3
By replacing you obtain:
Hence, the answer is:
f(x) = 4cos(8/3 x) - 3
