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
Please help me with this
swat32

Answer:

The answer is 156.25π or about 490.625

Step-by-step explanation:

To find the area of a circle, you use the formula πr² (pi times radius times radius.) The radius is 12.5, so you plug it in to the equation. Once you plug the radius into the equation, you get π times 12.5 times 12.5. This simplifies to 156.25 times pi. If you want to use 3.14 as pi, the final answer is about 490.625. I hope this helps and that you have an fantastic day!!! Hope you stay safe!!!

6 0
3 years ago
Factorise the following questions
lesya692 [45]

Answer:

ii)

\sqrt{2} x^{2}  + 3x +  \sqrt{2}   \\  =  \sqrt{2}x(x +  \sqrt{2} ) + x +  \sqrt{2} \\  = ( \sqrt{2} x + 1)(x +  \sqrt{2} )

7 0
3 years ago
joe and james are selling pies for a school fundraiser. Customers can buy blueberry pies and blackberry pies. Joe sold 5 blueber
dimulka [17.4K]
This is a system of equations problem.

Blueberry = X, blackberry = Y

Joe:
5x + 10y = 135

James:
x + 9y = 104

Let’s isolate x from James’ equation.
x = 104 - 9y

Now substitute that into the first equation.
5(104 - 9y) + 10y = 135

520 - 45y + 10y = 135

-35y = -385

y = -385/-35. The negatives cancel out, leaving us with $11 for blackberries.

Now we can substitute that value into James’s equation.

x + 9(11) = 104

x = 104 - 99

x = $5

Final answer: Blueberry pies cost $5, blackberry pies cost $11.
3 0
2 years ago
A polynomial function can be written as (x 1)(x 4)(x − 7). what are the x-intercepts of the graph of this function? (1, 0), (4,
IrinaVladis [17]
Easy

set to zero
those are the roots or xintersepts

(x+1)(x+4)(x-7)=0

x+1=0
x=-1

x+4=0
x=-4

x-7=0
x=7

xints are (-4,0) (-1,0) (7,0)
5 0
3 years ago
Read 2 more answers
Helia invested 4000 AED for 3 years with a compound interest rate of 1.5%, Calculate the worth of her investment at the end of t
sineoko [7]

Answer:

4180 AED

Step-by-step explanation:

Given data

Principal= 4000

Time= 3 years

Rate= 1.5%

The compound interest expression is given as

A= P(1+r)^t

substitute

A=4000(1+0.015)^3

A= 4000(1.015)^3

A= 4000*1.045

A= 4180

Hence the worth will be  4180 AED

6 0
3 years ago
Other questions:
  • If n is at least 6, which inequality best represents the values of n?
    13·1 answer
  • a side of an equilateral triangle is 2/8 cm long. draw a picture that shows the triangle. what is the perimeter of the triangle?
    9·1 answer
  • How do you find the probability of the sum of 6 when rolling a die?
    10·1 answer
  • What is the GCF of 15 and 57?
    9·2 answers
  • The inequality of <br>8+4 times a number is greater than five times the number
    12·2 answers
  • In the diagram, which pair of angles are vertical angles?
    12·1 answer
  • The length of a bicycle track is increased from 1200m to 1600m. Find the percentage increase.
    14·1 answer
  • Triangle MNP is transformed according to the rule T(4,–1). What is the y-coordinate of M”?
    10·2 answers
  • Bily is helping to make piZzas for a school function. He's made 25 pizzas so far His principal asked him to make at least 30 piz
    7·2 answers
  • Hi I need help ASAP​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!