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Xelga [282]
3 years ago
6

The useful life of an electrical component is exponentially distributed with a mean of 1000 hours a. What is the probability the

circuit will last more than 2000 ​hours?
Mathematics
1 answer:
julia-pushkina [17]3 years ago
3 0

Answer:

0.865

Step-by-step explanation:

To solve for the probability we would be using the formula:

F(x) = 1 - e^−λx

Therefore, P(x > 2000) = F(x) = 1 - e^−λx

Mean = 1000 hours

λ = 1/mean = 1/1000 hours

x= 2000 hours

F(x) = 1 - e^−(1/1000)2000

F(x) = 1 - e^−2

= 0.8646647168

Therefore, the probability the the circuit will last at least 2000 hours = 0.865

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Answer:

4.31 kilometer

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5 0
2 years ago
Please help asap !!!!!
Natasha2012 [34]

Answer:

<em>XY = 92 units</em>

Step-by-step explanation:

<u>Similar Shapes</u>

Two shapes are similar if all their corresponding side measures are in the same proportion.

The triangles UVW and YVX are similar because their side lengths are in the proportion 1:2, given the tick marks provided in the drawing.

This means that the measure of VX is twice the measure of VW,

The measure of YV is twice the measure of UV

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This last proportion gives the equation:

z + 46 = 2z

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6 0
3 years ago
The temperature in an oven changes from 350 degrees to 362% What is the percent increase in temperature, to the nearest tenth of
Darya [45]

Answer:

3.43%

Step-by-step explanation:

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12:350*100 =

(12*100):350 =

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3 0
3 years ago
Find the value of the variable that results in congruent triangles for numbers 6 and 8.
mariarad [96]

Answer:

x = 28

Step-by-step explanation:

From the figure attached,

AC ≅ FH [Given]

BC ≅ GH [Given]

AB ≅ FG [Given]

ΔABC ≅ ΔFGH [By SSS property of congruence]

Since, m∠A + m∠B + m∠C = 180°

50° + 69° + m∠C = 180°

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(2x + 5)° = 61°

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8 0
3 years ago
Solve for x. 3(3x - 1) + 2(3 - x) = 0 = 0
BARSIC [14]
If you would like to solve the equation 3 * (3 * x - 1) + 2 * (3 - x) = 0, you can calculate this using the following steps:

3 * (3 * x - 1) + 2 * (3 - x) = 0
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9 * x - 3 + 6 - 2 * x = 0
7 * x + 3 = 0
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x = - 3/7

The correct result would be - 3/7.
4 0
3 years ago
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