5 rational and irrational numbers in decimal form

Mathematics

1 answer:

alexira [117]3 years ago

3 0

Answer:

A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction.

$\frac{1}{2}$ ↔ .5
5 ↔ 5.0
$\sqrt{4}$ ↔ 2.0
-13 ↔ -13.0
0.38462... ( $\frac{5}{13}$ )

An irrational number is a number that is NOT rational. It's the complete opposite!

π ↔ 3.14159
.13133133...
$\frac{\sqrt{3} }{2}$ ↔ 0.86603...
- $\sqrt{5}$ ↔ -2.23607...
$\sqrt{5}$ ↔ 2.23607...

Hope this helps!!!

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A homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bed

cestrela7 [59]

Answer:

0.97

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)

=P(Kitchen alarm sets off)+P(bed room alarm sets off)-P(Both sets off)

Since both are independent

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