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2 years ago

Given the equation y = 4 + 2x find the values for y given the value x

Mathematics

1 answer:

Leviafan [203]2 years ago

4 0

Answer:

If x = 3 then y = 10

If x = -3 then y = -2

If x = 4 then y = 12

If x = -2 then y = 0

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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

1 year ago

Yoo wsg whats he units please tell meeee

dimaraw [331]

Answer:

wsp, answer is 5,5 i'm pretty sure

Step-by-step explanation:

or its 0.5

6 0

1 year ago

PLS ANSWER TODAY TYSM :p<br><br> -5y+1-3y+2=-9

OLga [1]

We just combine the terms, like this:

-8y = -12

The answer is: y = 1.5 or 3/2.

Hope this helped! c:

7 0

2 years ago

What information do you need to write the equation of a transformed quadratic equation in vertex form

Mrac [35]

Answer:

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square.

Step-by-step explanation:

6 0

2 years ago

Pls write down your reaction to the algebraic magic trick note I already did it I just need your reaction and pls no links also

valentinak56 [21]

Hdbbsnaknabdbdjrnwkqonf fnjfjkew

4 0

1 year ago