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dmitriy555 [2]
3 years ago
9

The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with . Round your an

swers to 4 decimal places. (a) What proportion of fans will last at least 9000 hours?
Mathematics
1 answer:
IRISSAK [1]3 years ago
5 0

Answer:

Step-by-step explanation:

Assuming the decay factor, m = 0.0005

f(x) = 1 - e^{-mx}

f(9000) = 1 - e^{-0.0005*9000} =   1 - 0.0111 = 0.99

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The fence around a circular garden is 18 feet long. What is the area of the garden to the nearest square foot? Use 3.14 for pi.
Sidana [21]

Answer:

A = 26 ft²

Step-by-step explanation:

To find the area of a circle, use the formula A = πr²

We know π = 3.14 and C = 18.

Use the circumference to find "r". C = 2πr

C = 2πr

18 = 2(3.14)r

18 = 6.28r

r = 18/6.28        Exact answer

r ≈ 2.866           Rounded to three decimal places

You can use either of the two bolded "r" values. I will use the rounded answer in the formula for area.

Substitute π = 3.14 and r = 2.866.

A = πr²

A = (3.14)(2.866)²                  Solve exponents first

A = 3.14(8.213956)                Multiply

A = 25.7918218...                  Unrounded answer

A ≈ 26                                   Rounded to nearest square foot

Add the units back in.

<h3>A = 26 ft²</h3>
7 0
3 years ago
What is the are of a hexagon with a radius of 5 inches?
xxTIMURxx [149]
The area of a hexagon with a radius of 5 inches is 86.603. 
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Order the values from least to greatest |2|, -3, |-5|, -1, 6
Burka [1]

Answer:

-1, -3, 2, 5, 6

Step-by-step explanation:

The numbers in the | | mean that it would be positive. Instead of being |-5|, it would be positive 5.

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If 5x-3y=12 and 4x-5y=17 what is the value of y?
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8y

Step-by-step explanation:


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Racer and J. Michael are both training for the 1600 meter run. Last
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