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Luda [366]
2 years ago
11

A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fai

l on a one-hour flight is .02. a) What is the probability that both will fail?b) Neither will fail?c) One or the other will fail? Show all steps carefully.
Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
3 0

Answer:

a) 0.0004

b) 0.9604

c) 0.02

Step-by-step explanation:

When trying to find the probability of a sequence occurring you would simply need to multiply the probability of both of those things occurring together. Since the probability of an alternator failing is 0.02 then the probability of both failing would be...

0.02 * 0.02 = 0.0004

Now the probability of an alternator not failing is 0.98 (100% or 1 minus 0.02) therefore, the probability of both failing would be...

0.98 * 0.98 = 0.9604

Finally, the probability of one or the other failing would simply be the same as the probability of a single alternator failing which is 0.02

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0.28x=13.44

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What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down?
zheka24 [161]

Answer:

A" =(-1,-1)    B" =(-2,1)

C" =(-4,1)    D" =(-5,-1)

Step-by-step explanation:

Given

A = (1,1)        B =(2,3)

C = (4,3)        D = (5,1)

Required

The new coordinates after reflected across y-axis and shifted 2 units down

When a point is reflected across the y-axis, the rule is:

(x,y)=>(-x,y)

So:

A = (1,1) => A' = (-1,1)

B =(2,3) => B' = (-2,3)

C = (4,3) => C' = (-4,3)

D = (5,1) => D' = (-5,1)

When a point is translated 2 units down, the rule is:

(x,y) => (x,y-2)

So:

A = (1,1) => A' = (-1,1) => A" =(-1,-1)

B =(2,3) => B' = (-2,3) => B" =(-2,1)

C = (4,3) => C' = (-4,3)=> C" =(-4,1)

D = (5,1) => D' = (-5,1) => D" =(-5,-1)

So, the new coordinates are:

A" =(-1,-1)    B" =(-2,1)

C" =(-4,1)    D" =(-5,-1)

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