9(2w−y)=21w−9y
First you multiply the numbers in the parenthesis by 9
![18w-9y=21w-9y](https://tex.z-dn.net/?f=18w-9y%3D21w-9y)
subtract. 21w-18w=3w
![-9y=3w-9y](https://tex.z-dn.net/?f=-9y%3D3w-9y)
add. -9y+9y=0
![0=3w](https://tex.z-dn.net/?f=0%3D3w)
divide.
![0=w](https://tex.z-dn.net/?f=0%3Dw)
Final answer is 0.
Answer:
The probability that none of the LED light bulbs are defective is 0.7374.
Step-by-step explanation:
The complete question is:
What is the probability that none of the LED light bulbs are defective?
Solution:
Let the random variable <em>X</em> represent the number of defective LED light bulbs.
The probability of a LED light bulb being defective is, P (X) = <em>p</em> = 0.03.
A random sample of <em>n</em> = 10 LED light bulbs is selected.
The event of a specific LED light bulb being defective is independent of the other bulbs.
The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p</em> = 0.03.
The probability mass function of <em>X</em> is:
![P(X=x)={10\choose x}(0.03)^{x}(1-0.03)^{10-x};\ x=0,1,2,3...](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%7B10%5Cchoose%20x%7D%280.03%29%5E%7Bx%7D%281-0.03%29%5E%7B10-x%7D%3B%5C%20x%3D0%2C1%2C2%2C3...)
Compute the probability that none of the LED light bulbs are defective as follows:
![P(X=0)={10\choose 0}(0.03)^{0}(1-0.03)^{10-0}](https://tex.z-dn.net/?f=P%28X%3D0%29%3D%7B10%5Cchoose%200%7D%280.03%29%5E%7B0%7D%281-0.03%29%5E%7B10-0%7D)
![=1\times 1\times 0.737424\\=0.737424\\\approx 0.7374](https://tex.z-dn.net/?f=%3D1%5Ctimes%201%5Ctimes%200.737424%5C%5C%3D0.737424%5C%5C%5Capprox%200.7374)
Thus, the probability that none of the LED light bulbs are defective is 0.7374.
Answer:
C
Step-by-step explanation:
Pyramids must have bases and a point off the base
Answer:
( x + 4 ) ( x + 6 )
Step-by-step explanation: