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xeze [42]
3 years ago
5

A town has three fire engines operating independently. The probability that a specific engine is available when needed is 0.86.

​(a) What is the probability that no fire engine is available when​ needed? ​(b) What is the probability that a fire engine is available when​ needed?
Mathematics
1 answer:
kicyunya [14]3 years ago
7 0

Answer:

Part a : 0.002744

Part b : 0.997256

Step-by-step explanation:

The probability that a specific engine is available when needed is 0.86.

So, The probability that fire engine will not be available when​ needed = 1-0.86=0.14

(a)

The probability that no fire engine is available when​ needed =

0.14^{3}

= 0.002744

(b)

p(at least one available) = 1-0.002744

= 0.997256

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Nicki was told to find three consecutive odd integers whose rum is 53. What is the right equation?
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The option D) x + x+2 + x+4 = 53 represents the exact equation of sum of three consecutive odd integers which is equal to 53.

<u>Step-by-step explanation:</u>

The sum of the three consecutive odd integers = 53

<u>To frame the equation :</u>

  • Let us consider any of the three consecutive odd integers.
  • Let us take 1,3,5 as the three consecutive odd integers.

Assume the first odd integer as 'x'. In this case, (x=1)

  • The second consecutive odd integer is 3.
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Therefore, the second consecutive odd integer is x+2.

  • The third consecutive odd integer is 5.
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Therefore, the third consecutive odd integer is x+4.

This means that, the sum of any three consecutive odd integers are given as x + x+2 + x+4.

Given that,

Sum of the three consecutive odd integers is 53.

The first odd integer + second odd integer + third odd integer = 53

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The option D) x + x+2 + x+4 = 53 represents the exact equation of sum of three consecutive odd integers which is equal to 53.

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3 years ago
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What is the area of the regular hexagon with a side length of 3 cm and an apothem of 2.6 cm? A. 15.6 cm2 B. 23.4 cm,2 C. 46.8 cm
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