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3 years ago

Write 0.001247 in scientific notation

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

6 0

Answer:

1.247 x 10 to the third power

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

Terry drove 310 miles in 5 hours at a constant speed. How long would it take him to drive 403 miles at the same speed?

NeX [460]

Well, first, find-out how fast he was going the first time, by dividing 310 by 5. This gives you 62 mph. Now, divide 403 miles by 62 miles per hour in order to find-out how long it would take him to drive 403 miles, if he is constantly doing 62 mph. Your final answer is six-and-a-half hours.

6 0

3 years ago

Read 2 more answers

I really need help this is my second time......

KIM [24]

First find the area of the triangle,
(8.4 x 24)/2 = 100.8
Then find the area of the parallelogram,
24 x 12 = 288

Then add both,
100.8+288 = 388.8 yd^2

7 0

3 years ago

a system of two linear equations is graphed on a coordinate plane. if the system of equations has infinitely many solutions, whi

Tamiku [17]

Answer:

Their slopes and y-intercepts are the same

Step-by-step explanation:

For example:

y=3x+5

3x+5=3x+5

3x=3x

x=x

Thus, there's infinitely many solutions

5 0

3 years ago

When do you find an area or volume by separating the figure into smaller figures?

brilliants [131]

The question is not defined very well so if u would repeat it

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3 years ago