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kakasveta [241]
3 years ago
6

An electronic product contains 40 integrated circuits. the probability that any integrated circuit is defective is 0.01, and the

integrated circuits are independent. the product operates only if there are no defective integrated circuits. what is the probability that the product operates?
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
7 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>

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Negative 12 plus 44<br> negative 19 plus 61
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The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the creek as one side and fencing
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The correct value is 720 ft of fencing.

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A line on the wall and a line on the floor are skew. always sometimes never
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<img src="https://tex.z-dn.net/?f=f%28x%29%3D16t%5E2%2B32t" id="TexFormula1" title="f(x)=16t^2+32t" alt="f(x)=16t^2+32t" align="
Nataly_w [17]

Answer:

- time = 1second

- maximum height = 16m

Step-by-step explanation:

Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation

f(t)=-16t²+32t... (1)

The pumpkin reaches its maximum height when the velocity is zero.

Velocity = {d(f(x)}/dt = -32t+32

Since v = 0m/s (at maximum height)

-32t+32 = 0

-32t = -32

t = -32/-32

t = 1sec

The pumpkin reaches its maximum height after 1second.

Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)

f(1) = -16(1)²+32(1)

f(1) = -16+32

f(1) = 16m

The maximum height of the pumpkin is 16m

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