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
mr_godi [17]
3 years ago
14

A piece of electronic equipment is built with 3 cooling fans. The equipment will function only if at least 2 of the 3 fans are w

orking. The lifetimes of the fans are subject to forces of mortality that are independent, constant, and identical. The force of mortality is equal to 0.098. Calculate the probability that the electronic equipment will work for at least 5 years. (Ans 0.66608)
Mathematics
1 answer:
PolarNik [594]3 years ago
8 0

Answer:

0.66608

Step-by-step explanation:

Equipment = 3 fans

Mortality = 0.098

We are required to find probability that equipment gets to work for 5years

The question says forces of mortality is constant and also equal to 0.098

To calculate p(x>5)

We will do this by calculating exponentially

e^-0.098x5

= 0.612626394

Probability that at least 2 fans out of 3 are working

3(0.612626394)²+(1-0.612626394)+(0.612626394)³

= 1.1259333x0.3873736+0.2299255

= 0.6660823470

This is approximately

<u>0.6608</u>

this is the probability that the equipment will work for at least 5years

You might be interested in
In the figure below, L || m. Find x.
grandymaker [24]
I think it’s 13 not sure tho(put a degree symbol on 13)
7 0
2 years ago
If Jack bought baseball cards and his brother took 30% of them what percent of the cards does Jack now have *
TiliK225 [7]
Well it would be 70% of them because Jack had 100% and 30% minus 100% is 70%
8 0
3 years ago
Read 2 more answers
575 394 9550 <br> bFzN0S <br> come study with me!
Molodets [167]

Answer:

need points

Step-by-step explanation:

gchfyfyjfuf

5 0
2 years ago
Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...
kari74 [83]
10, 14, 18 ....

notice, we get the next term by simply adding 4 to the current term, thus "4" is the "common difference, and we know that 10 is the first term.

\bf n^{th}\textit{ term of an arithmetic sequence}&#10;\\\\&#10;a_n=a_1+(n-1)d\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;d=\textit{common difference}\\&#10;----------\\&#10;a_1=10\\&#10;d=4\\&#10;n=17&#10;\end{cases}&#10;\\\\\\&#10;a_{17}=10+(17-1)(4)\implies a_{17}=10+(16)(4)&#10;\\\\\\&#10;a_{17}=10+64\implies a_{17}=74\\\\&#10;-------------------------------

\bf \textit{ sum of a finite arithmetic sequence}&#10;\\\\&#10;S_n=\cfrac{n(a_1+a_n)}{2}\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;----------\\&#10;a_1=10\\&#10;a_{17}=74\\&#10;n=17&#10;\end{cases}&#10;\\\\\\&#10;S_{17}=\cfrac{17(10+74)}{2}\implies S_{17}=\cfrac{17(84)}{2}\implies S_{17}=714
6 0
2 years ago
Read 2 more answers
Area of the base=
umka21 [38]

Answer:

16 pi

Step-by-step explanation:

The base is the circle

A = pi r^2

A = pi (4)^2

A = 16 pi

3 0
2 years ago
Read 2 more answers
Other questions:
  • Consider the system of linear equations. 5x+10y=15 10x+3y=13 To use the linear combination method and addition to eliminate the
    8·2 answers
  • Find the transition matrix from c to the standard ordered basis e g
    12·1 answer
  • Instruction: You must show all of your work bysl setting up the problem using combinatorics and simplifying completely.
    7·1 answer
  • Multiplying 3/sqrt 17 - sqrt 2 by which fraction will produce an equivalent fraction with a rational denominator
    11·2 answers
  • Anyone use Twitch? Gimme your name...
    9·2 answers
  • The formula for finding the perimeter of a rectangle with length, l, and width, w, is P = 2l + 2w.
    13·2 answers
  • A football team consists of 20 each freshmen and sophomores, 15 juniors and 10 seniors. Four players are selected at random to s
    13·1 answer
  • George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but
    8·1 answer
  • Can someone plz help me with this one problem!!! :)
    12·2 answers
  • Each Minitues has 60 seconds in it. How many second are in 3 minutes and 25 seconds
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!