1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Benjamin has to wear a uniform to school. His uniform is made up of tan or blue pants and a blue or white collared shirt. Benjam
oee [108]

Explanation:

As his uniform is made up of tan or blue pants and a blue or white collared shirt.

So, there are possibly four combinations which are as follows:

  • tan pants/blue shirt
  • tan pants/white shirt
  • blue pants/blue shirt
  • blue pants/white shirt

As Benjamin carries an extra piece of white shirt. So, he has a little bit better than 25% chance of wearing his favorite combination.

So,

  • Probability of getting tan pants = 2/4 = 1/2
  • Probability of getting white shirt = 3/5

The probability of getting both can be computed by simply multiplying 2/4 and 3/5.

So,

  • Probability of getting both = 1/2 × 3/5 = 3/10 ⇒ 30%

<em>Keywords: probability, chance</em>

<em> Learn more about from /brainly.com/question/14382310</em>

<em> #learnwithBrainly</em>

3 0
3 years ago
Anthony and Gordon are collecting clothes for a clothing drive. Gordon collected 1/2 as many clothes as Anthony did. If Anthony
Maksim231197 [3]

Answer:

1/6

Step-by-step explanation:

hope this helped you!

7 0
3 years ago
Prove that for all n in the naturals, n(n+1)(n+2) is divisible by 3
DerKrebs [107]
By induction:

It's true for n=1, since 1\cdot2\cdot3 clearly contains a factor of 3.

Suppose it's true for n=k, that k(k+1)(k+2) is divisible by 3. Then

(k+1)(k+2)(k+3)=\dfrac{k(k+1)(k+2)(k+3)}k=\dfrac{3m(k+3)}k

where m is an integer. This reduces to

\dfrac{3m(k+3)}k=3m+9\dfrac mk

and both terms are clearly multiples of 3. We know that \dfrac mk is an integer since we had set m=k(k+1)(k+2) previously, which implies m is a multiple of k. So the statement is true.
6 0
3 years ago
2. Find the value of W and the measurement of P.
tatyana61 [14]
8 is the value of w and 3 is the value of p
4 0
3 years ago
Can someone please simplify ln e^4/8 showing me how to do it
Otrada [13]

Answer:

e ^1/2

Step-by-step explanation:

All you do is take the fraction (4/8) and just simplify that part

4 divided by 2 = 2

8 divided by 2 =4

I got 2/4 but I can simplify more

2 divided by 2= 1

4 divided by 2 = 2

Now I got 1/2

And I would just leave e alone so my answer is e ^1/2

Do you kinda get what im saying?

6 0
3 years ago
Other questions:
  • X= 20 24 28 32<br> y= 5 6 7 8 <br><br> What's the pattern?
    8·2 answers
  • Graph the system of linear inequalities.
    12·1 answer
  • The triangles are similar.
    11·1 answer
  • Melissa exercises for 20 minutes every day. She decides to increase her daily exercise time by 5 minutes each week. However, acc
    5·1 answer
  • What’s the answer of 2w+-4•6
    9·1 answer
  • Find the greatest common factor of 8m 3 and 6m 4
    13·1 answer
  • The graph below shows Ariana's pay as a painter. How much does Ariana charge per painting?
    11·1 answer
  • Shelby spends 2/7 of her salary on her monthly rent and has $3455 left over. How much does she spend on her rent each month?
    13·1 answer
  • Hello everybody please help me (this is 6th grade math) <br>​
    12·1 answer
  • Solve This Proof PLEASE
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!