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
djyliett [7]
3 years ago
5

The length of time between breakdowns of an essential piece of equipment is important in the decision of the use of auxiliary eq

uipment. An engineer thinks that the best model for time between breakdowns of a generator is the exponential distribution with a mean of 14 days. If the generator has just broken down, what is the probability that it will break down in the next 21 days
Mathematics
1 answer:
mina [271]3 years ago
5 0

Answer: The probability that it will break down in the next 21 days is 0.777

Step-by-step explanation:

Let the random variable x represent

time between breakdowns of a generator

Given that mean = 14 days,

Decay parameter, m = 1/14

The probability density function for exponential distribution is expressed as

F(x) = me-mx

It becomes

f(x) = 1/14e-(x × 1/14)

P(X < x) = 1 - e- mx

The probability that it will break down in the next 21 days is expressed as

P(x ≤ 21) = P(x < 21)

Therefore,

P(x < 21) = 1 - e-(1/14 × 21)

= 1 - e-1.5

= 1 - 0.223 = 0.777

P(x ≤ 21) = 0.777

You might be interested in
A falling object travels a distance given by the formula d=3t+5t2, where d is measured in feet and t is measured in seconds. How
Romashka-Z-Leto [24]

Answer:

<em>4.52secs</em>

Step-by-step explanation:

Given the height of a falling object expressed as;

d=3t+5t^2

If the object travel 84 feet, we are to find the time t it takes to travel. On substituting;

84 = 3t+5t^2

3t+5t^2 - 84 = 0

t = -5±√25-4(3)(-84)/2(3)

t = -5±√25+1008/6

t = -5±32.14/6

t = -5+32.14/6

t = 27.14/6

<em>t = 4.52 secs</em>

<em>Hence it will take 4.52secs for the object to travel 84feet</em>

8 0
2 years ago
What is the measure of angle b?
KengaRu [80]

Answer:

idk sry

Step-by-step explanation:

sry

4 0
3 years ago
Read 2 more answers
Find the volume of a rectangular pyramid
Nesterboy [21]

Answer:

192 yd³

Step-by-step explanation:

The volume of a rectangular pyramid is given by the formula:

V=\frac{1}{3} lwh\text{ where } l \text{ is the base length, }w \text{ is the base width, and }h \text{ is the pyramid height}

In this case: l = 9, w=8, h = 8

\therefore V=\frac{1}{3}(9\text{ yd})(8\text{ yd})(8\text{ yd})=192\text{ yd}^3

8 0
2 years ago
What are the domain and range of the exponential function below?
LekaFEV [45]
I believe the correct answer from the choices listed above is the second option. The <span>Domain are All real numbers and the Range are All real numbers greater than 3. Hope this answers the question. Have a nice day.</span>
4 0
3 years ago
Read 2 more answers
PLEASE help me solve this problem. I really need help.
mote1985 [20]
When:
a = b = 0 we have point (0,0).
a = 0 and b ≠ 0 vertical line segment from (0, -b) to (0, b)
a ≠ 0 and b = 0 horizontal line segment from (-a, 0) to (a, 0)
a ≠ 0 and b ≠ 0 a ≠ b ellipse
a ≠ 0 and b ≠ 0 a = b circle
3 0
3 years ago
Other questions:
  • Factorise 7m^2+6m-1<br> Thanks
    15·1 answer
  • Find the domain and range of the function represented by the graph. Select all that apply.
    8·1 answer
  • What is 9911 divided by 62
    9·2 answers
  • What number is one tenth of 100
    11·1 answer
  • Catherine wants to pass year for Ms. Ford's class and all she has left is to take the final Spring Final. If she earned a 60 on
    8·1 answer
  • Which takes up a larger area: the flowers or the grass?
    8·2 answers
  • A purse is on sale for $146.47 after a 30% discount. What was the original price of the purse?
    14·1 answer
  • 15 is what percent of<br> 600?<br> Pls show work
    11·2 answers
  • A number decreased by the product of 6 and 3
    11·2 answers
  • Near a coral reef, a barracuda swam at a steady speed for 4.4seconds. It swam 33meters in that time. What was its speed?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!