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Dahasolnce [82]
3 years ago
7

20x\cdot 45x\cdot 123x+3\left\{x+3x\cdot \frac{1}{6}\right\}-129x=1223

Mathematics
1 answer:
Tamiku [17]3 years ago
5 0

Answer:

x=0.224403

Step-by-step explanation:

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Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25
aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The mean time for the component failure is 2500 hours.

This means that m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

P(X > x) = e^{-0.0004*5000} = 0.1353

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0
2 years ago
Find the gradient of the line segment between the points (-4,2) and (4,5).
aleksklad [387]

Answer:

Gradient is = 0.375

Step-by-step explanation:

Rise = 3

Run = 8

8 0
2 years ago
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PLZ HELP ME my teacher be buggin
Bumek [7]

2.

We have a transversal across parallel lines so we get the usual array of congruent and supplementary angles.  We just have to figure out which is which, and the diagram, even though not to scale, makes it pretty obvious.

Angle x isn't the same as the 40° angle so it must be its supplement.

Answer: C 140°

3.

r=1.2, h=2.9, V = (1/3) πr²h

Nothing hard here, we just plug in the numbers,

V = (1/3) π (1.2)² (2.9) ≈ 4.37310

Answer: B. 4.4 cubic inches

4.

Dilation by .5 makes a similar triangle, and reflection is an isomorphism (i.e. it doesn't change the size or shape) so the answer is

Answer: B similar not congruent

5.

The corresponding interior and exterior angles of a triangle form a linear pair, so supplementary angles. x=180-110 = 70°

Answer: A 70°

4 0
2 years ago
Professor Tangent was stumped. His research assistant had given him a riddle but she simply could not solve. Help the professor!
melomori [17]

Answer:

difficult but easy do it yourself you can do you can do you can do bro ...

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3 years ago
Solve 42x = 7{x-1)<br> How do I solve this problem
Nimfa-mama [501]

Answer:

-1/5

Step-by-step explanation:

42x=7[x-1]

42x=7x-7

42x-7x=-7

35x=-7

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3 years ago
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