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
Dmitriy789 [7]
3 years ago
9

Successful implementation of a new system is based on three independent modules. Module 1 works properly with probability 0.9, M

odule 2 works properly with probability 0.84, and Module 3 works properly with probability 0.65. What is the probability that at least one of these three modules will fail to work properly?
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0

Answer:

The probability is 0.5086

Step-by-step explanation:

The probability P that at least one of these three modules will fail to work properly is calculated as:

P = 1 - P'

Where P' is the probability that all the modules works properly. So, P' os calculated as:

P' = 0.9 * 0.84 * 0.65

P' = 0.4914

Because 0.9 is the probability that module 1 works properly, 0.84 is the probability that module 2 works properly and 0.65 is the probability that module 3 works properly.

Finally, the probability P that at least one of these three modules will fail to work properly is:

P = 1 - 0.4914

P = 0.5086

You might be interested in
B Christian installed an electric pump to pump water from a borehole into a 30 000 litre cement dam. If the water is pumped at a
skelet666 [1.2K]

Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

<h3>How long does it take to fill the dam?</h3>

Given that;

  • Amount of water needed to fill the dam A = 30000 litres
  • Pump rate r = 75 litres per minute
  • Time needed to fill the dam T = ?

To determine how long it take to fill the dam, we say;

Time need = Amount of water needed ÷ Pump rate

T = A ÷ r

T = 30000 litres ÷ 75 litres/minute

T = 400 minutes

Note that; 60min = 1hrs

Hence,

T = 6hours 40minutes

Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

Learn more word problems here: brainly.com/question/2610134

#SPJ1

8 0
2 years ago
Least to greatest -0.615,-5/8,0.62
evablogger [386]
1. Change the fraction to a decimal  0.625
2.Line up the decimals

incorrect       correct
-0.615           -0.615
 0.625            0.62
 0.62              0.625
8 0
3 years ago
Read 2 more answers
5 1/3 + x = 2 1/2. Use least common denominator or easiest common denominator. Please work out
julia-pushkina [17]

Answer:

The answer is x = -17/6.

Step-by-step explanation:

Given:

5 1/3 + x = 2 1/2 . Using least common denominator.

Now, to solve the equation:

5\frac{1}{3}+x=2\frac{1}{2}

=\frac{16}{3} +x=\frac{5}{2}

Subtracting both sides from 16/3 we get:

x=\frac{5}{2}- \frac{16}{3}

Now, the least common denominator of 2 and 3 is 6.

So, we using this we calculate:

x=\frac{5\times 3-16\times 2}{6}

x=\frac{15-32}{6}

x=\frac{-17}{6}

Therefore, the answer is x = -17/6.

7 0
3 years ago
In this triangle, Cos A/ Cos B = ?.
jenyasd209 [6]

Answer:

1

Step-by-step explanation:

Cosine = adjacent/hypotenuse

Cos A = 3/4.24

Cos B = 3/4.24

Since they are equivalent, Cos A/Cos B = 1

5 0
3 years ago
Read 2 more answers
PLZ HELP ME!!!! with my homework it is very confuseing plz help
lara31 [8.8K]
To find the surface area, you just find the area of every side and then add them up.
7 0
3 years ago
Other questions:
  • How do you solve 3(a + 2 b) +2 ( 3a + b)
    14·1 answer
  • Use the distributive property of multiplication to find the missing number.use the distributive property of multiplication to fi
    13·1 answer
  • Are Simple statements are often just called statements
    5·1 answer
  • Estimate the weight of 6 apples.
    12·1 answer
  • restaurant serves three types of omelettes. Surveys were taken of the last two days of orders and are displayed in the table bel
    11·2 answers
  • 40% of the memberships sold by Gym A were gold memberships.
    8·1 answer
  • The no. Of adel beads to that of claire's beads was the ratio 7 :4 .When adel gave 68 beads to claire the ratio become 25 :41 .
    5·1 answer
  • ABCD is a trapezium. Calculate the area of ABCD
    13·1 answer
  • Michael is placing cubic blocks into a box that measures 8 inches by 12 inches. each block is 1 cubic inch. he has packed the fi
    9·2 answers
  • Which of the following represents 32/100? A. thirty-two hundredths B. 0.032 C. 0.23 D. thrity-two tenths​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!