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3 years ago

Solve for x in 2 - 3(x + 4) = 8

Mathematics

2 answers:

AysviL [449]3 years ago

7 0

Answer:

x = -6

Step-by-step explanation:

2 - 3(x + 4) = 8

=> 3(x + 4) = 2 - 8 = -6

=> x + 4 = -6/3 = -2

=> x = -2 - 4 = -6

neonofarm [45]3 years ago

6 0

x = 2

Step-by-step explanation:

2 - 3x - 12 = 8

=> 3x - 12 = 2 - 8

=> 3x - 12 = -6

=> 3x = 6

=> x = 2

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Musya8 [376]

Answer:

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b) 67.03%

c) Cumulative Distribution Function

$P(t) = \displaystyle\int^{\infty}_{-\infty} 0.1e^{-0.1t}~dt\\\\= \displaystyle\int^{b}_{a} 0.1e^{-0.1t}~dt, ~~a\leq t \leq b$

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We are given the following in the question:

$p(x) = 0.1 e^{-0.1x}$

where x is the duration of a call, in minutes.

a) P( calls last between 2 and 3 minutes)

$=\displaystyle\int^3_2 p(x)~ dx\\\\= \displaystyle\int^3_20.1e^{-0.1x}~dx\\\\=\Big[-e^{-0.1x}\Big]^3_2\\\\=-\Big[e^{-0.3}-e^{-0.2}\Big]\\\\= 0.0779\\=7.79\%$

b) P(calls last 4 minutes or more)

$=\displaystyle\int^{\infty}_4 p(x)~ dx\\\\= \displaystyle\int^{\infty}_40.1e^{-0.1x}~dx\\\\=\Big[-e^{-0.1x}\Big]^{\infty}_4\\\\=-\Big[e^{\infty}-e^{-0.4}\Big]\\\\=-(0- 0.6703)\\= 0.6703\\=67.03\%$

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4 years ago

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zaharov [31]

Yes, squares are generally known as rectangles.

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3 years ago