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Murljashka [212]
3 years ago
9

The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003

Mathematics
1 answer:
Dvinal [7]3 years ago
3 0

Answer: 0.0497870 ; 0.87754

Step-by-step explanation:

Given that :

λ = 0.0003

Defining a continuous distribution function :

F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0

a. What proportion of the fans will last at least 10,000 hours?

P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870

b. What proportion of the fans will last at most 7000 hours?

P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)

1 - 0.12245642825 = 0.87754

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aivan3 [116]

Answer:

"The area of EFGH is always One-half of the area of the rectangle."

Step-by-step explanation:

<em>Graph is attached.</em>

<em />

The kite consists of 2 triangle, EFG and EHG.

The area of EFG:

\frac{1}{2}*EG*h

where h is the height from F to EG

The area of EHG:

\frac{1}{2}*EG*h_1

where h_1 is the height from H to EG

We also know that h + h _1 is the width of the rectangle and EG is the length of the rectangle

Thus,

Area of Kite = \frac{1}{2}*EG*h + \frac{1}{2}*EG*h_1 = RectangleLength*RectangleWidth

Also, Area of rectangle is rectangle length * rectangle width.

Thus, area of kite is always half of that of rectangle, the third choice is right.

5 0
3 years ago
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You deposit 700$ in an account with an annual internet rate of 4% after 5 years
alex41 [277]

Answer:

840

Step-by-step explanation:

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Hope this helped!

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Step-by-step explanation:

He will need 38 because,

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Answer:

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