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Inga [223]
2 years ago
6

Which of the following fractions is expressed in simplified form?

Mathematics
1 answer:
kvasek [131]2 years ago
5 0

Answer:

There aren't any fractions

Step-by-step explanation:

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Consider a system with one component that is subject to failure, and suppose that we have 115 copies of the component. Suppose f
castortr0y [4]

Answer:

Step-by-step explanation:

From the given information:

the mean (\mu) = 115 \times 20

= 2300

Standard deviation = 20 \times \sqrt{115}

Standard deviation (SD) = 214.4761

TO find:

a) P(x > 3500)= P(Z > \dfrac{3500-\mu}{214.4761})

P(x > 3500)= P(Z > \dfrac{3500-2300}{214.4761})

P(x > 3500)= P(Z > \dfrac{1200}{214.4761})

P(x > 3500)= P(Z >5.595)

From the Z-table, since 5.595 is > 3.999

P(x > 3500)=1-0.9999

P(x > 3500) = 0.0001

b)

Here, the replacement time for the mean (\mu) = \dfrac{0+0.5}{2}

= 0.25

Replacement time for the Standard deviation \sigma = \dfrac{0.5-0}{\sqrt{12}}

\sigma = 0.1443

For 115 component, the mean time = (115 × 20)+(114×0.25)

= 2300 + 28.5

= 2328.5

Standard deviation = \sqrt{(115\times 20^2) +(114\times (0.1443)^2)}

= \sqrt{(115\times 400) +(114\times 0.02082249}

= \sqrt{(46000) +2.37376386}

= \sqrt{(46000) +(2.37376386)}

= \sqrt{46002.374}

= 214.482

Now; the required probability:

P(x > 4125) = P(Z > \dfrac{4125- 2328.5}{214.482})

P(x > 4125) = P(Z > \dfrac{1796.5}{214.482})

P(x > 4125) = P(Z >8.376)

P(x > 4125) =1-  P(Z

From the Z-table, since 8.376 is > 3.999

P(x > 4125) = 1 - 0.9999

P(x > 4125) = 0.0001

7 0
2 years ago
4(9x + 7) = x - 4<br><br> ALGEBRA 1!!
tiny-mole [99]

Hey!

-----------------------------------------------

Solution:

4(9x + 7) = x - 4

36x + 28 = x - 4

36x + 28 + 28 = x - 4 + 28

36x = x + (-32)

36x - x = x - (-24) - x

35x = -32

35x/35 = -32/35

x = -32/35

-----------------------------------------------

Answer:

x = -32/35

-----------------------------------------------

Hope This Helped! Good Luck!

6 0
3 years ago
Read 2 more answers
Two numbers that multiply to get 72 but add to get -22
Jlenok [28]
<span>Two numbers that multiply to get 72 but add to get -22

4 x 18= 72
4 + 18 = 22

just change the signs depending on the problem</span>
6 0
3 years ago
Can you solve this integral?<img src="https://tex.z-dn.net/?f=%20%5Cint%5Climits%5Ea_b%20%7B%20x%5E%7B2%7D%20%7D%20%5C%2C%20dx%2
adelina 88 [10]
\frac{1}{3}(a^3-b^3)
4 0
3 years ago
What is the quantum concept of the terminal notion of pi
GrogVix [38]
By applying the variational approach and then comparing the result to the exact solution, we can calculate the error in the approximation. That is the main and major use of Terminal notation of pi.

π/2 = [tex] \lim_{n \to \infty} π  (2j)(2j) / (2j-1)(2j+1)

Here, by this expression, we set the limits, and get the approximate error in the experiment.

Hope this helps!


<span />
5 0
3 years ago
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