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DedPeter [7]
2 years ago
9

If it's possible to tell, decide if a and b are positive or negative: a-3>b-3 and b>4

Mathematics
1 answer:
Svetllana [295]2 years ago
6 0

Answer:

a and b are positive

Step-by-step explanation:

We are given that

a-3>b-3

b>4

We have to find that a and b are positive or negative.

We have

b>4

It means b is positive and greater than 4.

a-3>b-3

Adding 3 on both sides

a-3+3>b-3+3

a>b>4

\implies a>4

Hence, a is positive and greater than 4.

Therefore, a and b are positive

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Answer:

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Step-by-step explanation:

Given that a homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bedroom (above the kitchen). If cooking produces smoke in the kitchen, the probability of setting off the dining room alarm (D) is .95. The probability of setting off the bedroom alarm (B) is .40.

Both alarms are independent of each other.

Probability for smoke detection=P(any one alarm rings)

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Since both are independent

P(Both) = 0.95*0.40\\=0.38

Probability for smoke detection

= 0.95+0.40-0.38

=0.97

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