Answer:
0.128 is the probability that the third hole drilled is the first to yield a productive well.
Step-by-step explanation:
We are given the following information in the question:
The probability that he is successful on a given trial is 0.2
p = 0.2
q = 1 - p = 0.8
We define the geometric probability as:
![P(X=x) = p(1-q)^{x-1}](https://tex.z-dn.net/?f=P%28X%3Dx%29%20%3D%20p%281-q%29%5E%7Bx-1%7D)
For this we have x = 3, putting the values we have:
![P(X=x) = p(1-q)^{x-1}\\P(x=3) = 0.2(0.8)^2 = 0.128 = 12.8\%](https://tex.z-dn.net/?f=P%28X%3Dx%29%20%3D%20p%281-q%29%5E%7Bx-1%7D%5C%5CP%28x%3D3%29%20%3D%200.2%280.8%29%5E2%20%3D%200.128%20%3D%2012.8%5C%25)
0.128 is the probability that the third hole drilled is the first to yield a productive well.
Answer:
BD = 78
x = 7
Step-by-step explanation:
As we can see, BC plus CD will be equal to BD. That means we can set up the equation 6x+15+3x = 10x+8. First, we combine like terms to get 9x+15 = 10x+8. Then we can subtract 9x from both sides, to get 15 = x+8. We then subtract 8 from both sides to get x = 7. Since x = 7, we can plug in x for the equation given for BD, 10(7)+8. This will come out to 78.
here is your hint. you have 4 ninety degree angles.