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
Effectus [21]
3 years ago
15

A particular automatic sprinkler system has two different types of activation devices for each 3 sprinkler head. One type has a

reliability of 0.9; that is, the probability that it will activate the sprinkler when it should is 0.9. The other type, which operates independently of the first type, has a reliability of 0.8. If either device is triggered, the sprinkler will activate. Suppose a fire starts near a sprinkler head. What is the probability that the sprinkler head will be activated?
Mathematics
1 answer:
zmey [24]3 years ago
6 0

Answer:

There is an 85% probability that the sprinkler head will be activated.

Step-by-step explanation:

We have these following probabilities:

50% of the first sprinkler being triggered

90% of the first sprinkler being reliable

50% of the second sprinkler being triggered

80% of the second sprinkler being reliable.

What is the probability that the sprinkler head will be activated?

P = P_{1} + P_{2}

P_{1} is the probability of the first sprinkler being triggered and activated. So:

P_{1} = 0.5*0.9 = 0.45

P_{2} is the probability of the second sprinkler being triggered and activated. So:

P_{2} = 0.5*0.8 = 0.40

P = P_{1} + P_{2} = 0.40 + 0.45 = 0.85

There is an 85% probability that the sprinkler head will be activated.

You might be interested in
18. f-g4, if f =3 and g = -5=
Nina [5.8K]

Answer:

23

Step-by-step explanation:

Step 1:

3 - -5 (4)

Step 2:

3 - (-20)

Step 3:

3 + 20

Answer:

23

Hope This Helps :)

8 0
3 years ago
-x = -6 <br> please help me
Rasek [7]

Answer:

The answer would be positive 6

Step-by-step explanation:

I know it is -6 because when you solve this you do...

-x = -6

Divide both sides by -6

-x/-6 = -6/-6

the answer would be 6

because a negative divided by a negative is a positive.

Hope this helps have a great day! :)

6 0
3 years ago
Write the first four terms of a sequence given the recursive rule below: f (n) = f(n-1) -4, for all n &gt; 2 and f(1) =32
Mars2501 [29]
I don’t know I just want points bye hdhdjjdjddjdjdjjjfjtfjgktk
7 0
3 years ago
Please help with 17, 19, and 21 using trigonometry. Thanks!​
omeli [17]
I honestly don’t know. But the square in the bottom of the triangles indicate that it is a right triangle equaling 90 degrees. You can try using that along with other knowledge of right triangles you have. Could you possibly use Pythagorean theorem also?
7 0
3 years ago
An auto insurance company has 10,000 policyholders. Each policy is defined as: young or old male or female; and married or singl
Blababa [14]

Answer:

880

Step-by-step explanation:

This problem a bit annoying, but let's classify the numbers and see where we can get from there:

Total = 10,000

Young = 3,000

Old = 7,000 (not young defined as 10,000 - 3,000)

Male = 4,600

Female = 5,400

Married = 7,000

Single = 3,000

Young Males = 1,320

Young Females = 3,000 (young) - 1,320  = 1,680

Married Males = 3,010

Married Females = 7,000 - 3,010 = 2,990

Young Married = 1,400

Young Married Males = 600

Young Married Females = 1,400 - 600 = 800

Young Female Single = ?

Young Female = 1,680 from above.  But not all of them are single.

Young Married Females = 800 from above

Young Female Single = Young Female - Young Married Females = 1,680 - 800 = 880

6 0
3 years ago
Other questions:
  • At an online bookstore, Kendra bought 4 copies of the same book for the members of her book club. She got free shipping because
    13·1 answer
  • Henry is buying school supplies for the start of the school year. For every 3 pencils he buys 2 pens. If Henry buys 21 pencils,
    13·1 answer
  • ??????????????!!?????!!
    5·1 answer
  • A cone has a radius of 24 cm and a volume of 1,920 cm cubed. What is the Volume of a similar cone with a radius of 18 cm?
    10·1 answer
  • There are 7 pens in a bag. Four of the pens are blue and the other 3 are red. What's the probability of pulling out a red
    9·2 answers
  • √4x+9 = 1-√2 giải phương trình
    5·2 answers
  • PLEASE HELP THANK YOU
    9·1 answer
  • X/19 = 4 <br> what is x please help i don`t under stand this equation <br> p.s. xover 19 =4
    6·1 answer
  • PLEASE HELP!!! Complete the equation of the line through (4, - 8) and (8, 5) Use exact numbers. y =
    8·1 answer
  • Point A is at (3,-8) and point B is at (7,3).<br> What is the midpoint of line segment AB?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!