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2 years ago

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Mathematics

1 answer:

Dafna1 [17]2 years ago

3 0

Answer:

$22.50

Step-by-step explanation:

My bad lol, I posted the answer under the wrong thing.

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A system has two failure modes. One failure mode, due to external conditions, has a constant failure rate of 0.07 failures per y

nadya68 [22]

Answer:

0.9177

Step-by-step explanation:

let us first represent the two failure modes with respect to time as follows

R₁(t) for external conditions

R₂(t) for wear out condition ( Wiebull )

Now,

$R1(t) = e^{-nt} .....1$

where t = time in years = 1,

n = failure rate constant = 0.07

Also,

$R2(t)=e^{-(\frac{t}{Q} )^{B} }......2$

where t = time in years = 1

where Q = characteristic life in years = 10

and B = the shape parameter = 1.8

Substituting values into equation 1

$R1(t) = e^{-(0.07)(1)} \\\\R1(t) = e^{-0.07}$

Substituting values into equation 2

$R2(t)=e^{-(\frac{1}{10} )^{1.8} }\\\\R2(t)=e^{-(0.1)}^{1.8} }\\\\R2(t)=e^{-0.0158}$

let the system reliability for a design life of one year be Rs(t)

hence,

Rs(t) = R1(t) * R2(t)

t = 1

$Rs(1) = [e^{-0.07} ] * [e^{-0.0158} ] = 0.917713$

Rs(1) = 0.9177 (approx to four decimal places)

5 0

3 years ago

Help plzzzzzz I need help asap

OverLord2011 [107]

I believe it's 9.2. you just add the two listed numbers together

7 0

3 years ago

Reduce the fraction to lowest terms. y+5/2y+10 A:1/4 B:1/2 C:2/5

Oduvanchick [21]

The given fraction is:

$\frac{y+5}{2y+10}$

We cannot take anything common from the numerator but from the denominator we can take out 2 as common because 2 is a factor of both the terms i.e. 2y and 10.

2y + 10 can be written as 2y +2(5) which can further be written as 2(y+5)

So, our fraction now becomes:

$\frac{y+5}{2(y+5)}$

y+5 occurs in both the numerator and denominator and thus be cancelled out leaving behind:

$\frac{1}{2}$

Therefore, the given fraction in lowest term is equal to 1/2. So option B is the correct answer

8 0

3 years ago

The initial cost to drill a well is $210000. the daily rate to operate the well is $500. The current selling price is $65 per ba

SVETLANKA909090 [29]

Hi there!

There is an initial cost of $210,000 (which you're just going to pay once)

Then it costs $500 per day to operate.

The number of days is represented by "x".

Your equation in function notation should look like this :

f(x) = 500x + 210,000

There you go! I really hope this helped, if there's anything just let me know! :)

8 0

3 years ago

Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw

GalinKa [24]

Answer:

5.6875 in

Explanation:

At the point of tangency, the tangent to a circle and the radius form a right triangle (the radius is perpendicular to the tangent).

Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)

I tried to upload the drawing but the tool is not allowing it now.

In the figure:

The length of the tangent (6 in) is one leg of the triangle
The distance from vertex and the circle (2.75in) along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
The other leg is the radius, r.

Then, you can use Pythagorean theorem:

(r)² + (6)² = (r +2.75)²

Solve:

r² + 36 = r² + 5.5r + 7.5625

5.5r = 36 - 7.5625

5.5r = 28.4375

r = 5.6875

The solution is in inches: r = 5.6875 inches ← answer

4 0

3 years ago