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3 years ago

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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Which rule deacribes the

Marysya12 [62]

Answer:

A. ${T_{-6,-2}}\circ {r_{x-axis}}(x,y)$

Step-by-step explanation:

We have that, ΔABC is transformed to get ΔA''B''C''.

We see that the following transformations are applied:

1. Reflection across x-axis i.e. flipped across x-axis.

Now, ΔABC is reflected across x-axis along the line AC to get ΔA'B'C'.

2. Translated 2 units down i.e. shifted 2 units down and and then translated 6 units to the left i.e. shifted 6 units to the left.

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6 0

3 years ago

Find the volume of the cylinder.

Aneli [31]

Answer:

144π or 452.16 units³

Step-by-step explanation:

The formula for volume of a cylinder is $\pi r^2 h$ . We can use the given values for radius and height to find the volume of the cylinder.

<h3>Finding the Volume</h3>

$V=\pi r^2 h\\V=\pi6^2(4)\\V=\pi36(4)\\V=144\pi \ OR\ 452.16$

The volume of the cylinder is 144π or 452.16 units³.

4 0

2 years ago

Taylor has 16 tacks. she buys 2 packages of 36 tacks. how many gate sale posters can she put up if she uses 4 tacks for each pos

Gemiola [76]

She can Hang up 4 posters. Because Taylor only has 16 tacks.

16/4=4

4 0

3 years ago

What’s the equation for g(x)

taurus [48]

Answer:

g(4)=10

Step-by-step explanation:

4 0

3 years ago

For what values of y:s the value of the fraction 4.5−2y/5 less than the value of the fraction 2−3y/10 ?

Andre45 [30]

Answer:

7 < y

Step-by-step explanation:

The relation you're interested in is ...

(4.5 -2y)/5 < (2 -3y)/10

9 -4y < 2 -3y . . . . . . . . . multiply by 10

7 < y . . . . . . . . . . . . . . . . add 4y-2

The value of the first fraction will be less than that of the second fraction for values of y greater than 7.

4 0

3 years ago