4,000,000
400,000
00,000
8,000
700
30
0
We are given that the
operation of all circuits is independent with each other, therefore we can use
the multiplication rule for independent events, which states that P (intersection
of A and B) = P(A) * P(B). In this case, we want the intersection of circuit 1 to
be working with the intersection of circuit 2 on and on until circuit 40. That
is, we want every circuit to work with each other. The given probability that
circuit 1 works is .99. The probability that circuit 2 works is still .99 since
this is independent events. And we see that the probability for each of the 40
circuit to work is .99. <span>
So P (intersection of 1 through 40) = .99 * .99 *
.99.....*.99 = (.99)^40 = .6689717586</span>
Answer:
<span>There is a 0.67 probability
(or 67%) that the product will work.</span>
Answer:
4
Step-by-step explanation:
Answer:
<em>The points that are 10 units from P(-17,-2) are (-23,6) and (-11,6)</em>
Step-by-step explanation:
<u>Distance Between Points in the Plane
</u>
Given two points A(x,y) and B(w,z), the distance between them is:
![d=\sqrt{(z-y)^2+(w-x)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28z-y%29%5E2%2B%28w-x%29%5E2%7D)
It can be also expressed as:
![d^2=(z-y)^2+(w-x)^2](https://tex.z-dn.net/?f=d%5E2%3D%28z-y%29%5E2%2B%28w-x%29%5E2)
Substituting the values of both points, and knowing the distance is 10:
![10^2=(6-(-2))^2+(x+17)^2](https://tex.z-dn.net/?f=10%5E2%3D%286-%28-2%29%29%5E2%2B%28x%2B17%29%5E2)
![100=8^2+(x+17)^2](https://tex.z-dn.net/?f=100%3D8%5E2%2B%28x%2B17%29%5E2)
Swapping both sides:
![64+(x+17)^2=100](https://tex.z-dn.net/?f=64%2B%28x%2B17%29%5E2%3D100)
Moving the constants to the right side:
![(x+17)^2=100-64=36](https://tex.z-dn.net/?f=%28x%2B17%29%5E2%3D100-64%3D36)
Taking the square root:
![x+17=\pm 6](https://tex.z-dn.net/?f=x%2B17%3D%5Cpm%206)
We get two possible answers:
![x=-17-6=-23](https://tex.z-dn.net/?f=x%3D-17-6%3D-23)
![x=-17+6=-11](https://tex.z-dn.net/?f=x%3D-17%2B6%3D-11)
Thus the points that are 10 units from the point P(-17,-2) are (-23,6) and (-11,6)
We need to remove those parenthesis! :)
-2[g(7)]
-2g * 7 (What I did was (2 x 7 = 14)
-14g