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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

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2 years ago
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if y varies inversely as x and y = 194 when x = -13, find y when x = 50. Round your answer to the nearest hundredth, if necessar
pashok25 [27]

Step-by-step explanation:

Since, y varies inversely as x.

\therefore \: y =  \frac{k}{x}  \\ (k = constant \: of \: proportionality) \\   \therefore \: xy =  k...(1) \\ plug \: y = 194 \:  \: and \:  \: x =  - 13 \: in \: (1) \\ \therefore \:  - 13 \times 194=  k \\ \therefore \: k =  - 2522 \\ substituting \: k =  - 2522 \: in \: (1) \\ xy =  - 2522...(2) \\ this \: is \: equation \: of \: variation. \\ plug \: x = 50 \: in \: (2) \\ 50 \times y =  - 2522 \\  \therefore \:y =  \frac{ - 2522}{50}  \\   \huge \red{ \boxed{\therefore \:y =   - 50.44}}

8 0
3 years ago
The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?
olga nikolaevna [1]

Answer:

The volume of the cone is;

100 π inches^3

Step-by-step explanation:

To calculate the volume, we need the height

We can get the height from the slant height and the radius

Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle

The right-angled triangle has the slant height as its hypotenuse

By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

Let the height be h

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12^2 = 5^2 + h^2

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h^2 = 169-25

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2 years ago
How is 0.9999 Equal to 1 again?
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3 years ago
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The answer is b (I think not really sure)
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2 years ago
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