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
alexandr1967 [171]
3 years ago
5

Doc Brown’s DeLorean has three crucial systems that are required for a successful trip: combustion engine, time circuits, and fl

ux capacitor. The combustion engine is necessary to reach a target speed of 88mph and has a reliability of 0.94. To set the destination coordinates, there are four time circuits, each with a 75% chance of working. Luckily, only one working time circuit is needed for a successful trip. The flux capacitor is made of three identical capacitors working together. Each capacitor has a reliability of 0.8. To properly handle the 1.21 Gigawatts and make a successful trip, Doc Brown needs at least two of the three capacitors to function. What is the reliability of the DeLorean making the trip?
Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0

Step-by-step explanation:

The total probability that the DeLorean makes the trip is:

P = P(engine) × P(at least 1 time circuit) × P(at least 2 capacitors)

P = P(engine) × (1 − P(0 time circuits)) × P(at least 2 capacitors)

P = 0.94 × (1 − ₄C₀ 0.75⁰ 0.25⁴) × (₃C₂ 0.8² 0.2¹ + ₃C₃ 0.8³ 0.2⁰)

P = 0.94 × (1 − 0.25⁴) × (0.384 + 0.512)

P = 0.83895

The reliability of the DeLorean is approximately 83.9%.

You might be interested in
100 Points PLEASE ANSWER ASP! Will Give BRAINLIST!
VikaD [51]

Let's work to solve this system of equations:

y = 2x ~~~~~~~~\gray{\text{Equation 1}}y=2x        Equation 1

x + y = 24 ~~~~~~~~\gray{\text{Equation 2}}x+y=24        Equation 2

The tricky thing is that there are two variables, xx and yy. If only we could get rid of one of the variables...

Here's an idea! Equation 11 tells us that \goldD{2x}2x and \goldD yy are equal. So let's plug in \goldD{2x}2x for \goldD yy in Equation 22 to get rid of the yy variable in that equation:

\begin{aligned} x + \goldD y &= 24 &\gray{\text{Equation 2}} \\\\ x + \goldD{2x} &= 24 &\gray{\text{Substitute 2x for y}}\end{aligned}  

x+y

x+2x

​    

=24

=24

​    

Equation 2

Substitute 2x for y

​  

Brilliant! Now we have an equation with just the xx variable that we know how to solve:

x+2x3x 3x3x=24=24=243=8Divide each side by 3

Nice! So we know that xx equals 88. But remember that we are looking for an ordered pair. We need a yy value as well. Let's use the first equation to find yy when xx equals 88:

\begin{aligned} y &= 2\blueD x &\gray{\text{Equation 1}} \\\\ y &= 2(\blueD8) &\gray{\text{Substitute 8 for x}}\\\\ \greenD y &\greenD= \greenD{16}\end{aligned}  

y

y

y

​    

=2x

=2(8)

=16

​    

Equation 1

Substitute 8 for x

​  

Sweet! So the solution to the system of equations is (\blueD8, \greenD{16})(8,16). It's always a good idea to check the solution back in the original equations just to be sure.

Let's check the first equation:

\begin{aligned} y &= 2x \\\\ \greenD{16} &\stackrel?= 2(\blueD{8}) &\gray{\text{Plug in x = 8 and y = 16}}\\\\ 16 &= 16 &\gray{\text{Yes!}}\end{aligned}  

y

16

16

​    

=2x

=

?

2(8)

=16

​    

Plug in x = 8 and y = 16

Yes!

​  

Let's check the second equation:

\begin{aligned} x +y &= 24 \\\\ \blueD{8} + \greenD{16} &\stackrel?= 24 &\gray{\text{Plug in x = 8 and y = 16}}\\\\ 24 &= 24 &\gray{\text{Yes!}}\end{aligned}  

x+y

8+16

24

​    

=24

=

?

24

=24

​    

Plug in x = 8 and y = 16

Yes!

​  

Great! (\blueD8, \greenD{16})(8,16) is indeed a solution. We must not have made any mistakes.

Your turn to solve a system of equations using substitution.

Use substitution to solve the following system of equations.

4x + y = 284x+y=28

y = 3xy=3x

4 0
3 years ago
Read 2 more answers
Can somebody help me with this. Will mark brainliest.
Monica [59]

Answer:

15.9

Step-by-step explanation:

3 0
2 years ago
Which expression is equivalent to 7/16 ?<br> A. 7 − 16<br> B. 16 x 7<br> C. 7 ÷ 16<br> D. 16 ÷ 7
ValentinkaMS [17]
C. Is the correct answer
5 0
2 years ago
Read 2 more answers
I low key need halp. Very soon, please send halp. :&gt;
forsale [732]
Each flower arrangement will have 5 lillies and 13 roses
6 0
3 years ago
Read 2 more answers
A triangle has side lengths of 4, inches, 10 inches, and c inches.
alexdok [17]

Answer:

c<4+10

c<14

Step-by-step explanation:

can I get brainliest?

7 0
3 years ago
Read 2 more answers
Other questions:
  • Solve 32x+3 = 243 for x. <br><br> A. x = 10<br> B. x = 1<br> C. x = 2/5<br> D. x = 2
    7·1 answer
  • X-3<br> 20 72 <br> How to solve tan, sin, cos
    6·1 answer
  • You buy a container of cat liter $13.75 and and a bag of cat food for X dollars. The total purchase is $20.80, which includes 4%
    6·2 answers
  • Find the distance between (4, -5) and (-4, -5) on the coordinate plane
    6·1 answer
  • Xanthia can read 100 pages per hour and Molly can read 50 pages per hour. If they each read the same book, and the book has 225
    5·2 answers
  • Which of the following best describes the English expression fourteen less
    11·1 answer
  • Goku vs naruto you better not lie this isnt a opinion this is fact
    14·2 answers
  • A snail can travel 390 inches in 5 hours. How far does it travel in 10 minutes?
    9·2 answers
  • A)<br> 3<br> NIX 01/x<br> b<br> b)<br> =<br> = 8.5
    9·1 answer
  • Kim has $10$ identical lamps and $3$ identical tables. How many ways are there for her to put all the lamps on the tables
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!