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3 years ago

SIMPLIFY THE EXPRESSION. [X^2+4)^3

Mathematics

1 answer:

ycow [4]3 years ago

6 0

Answer:

$x^6+12x^4+48x^2+64$

Step-by-step explanation:

$(x^2+4)^{3}\\(x^2+4)*(x^2+4)*(x^2+4)\\(x^2+4)(x^{4}+8x^{2}+16)\\(x^2)(x^{4})+(x^2)(8x^{2})+(x^2)(16)+(4x)(x^{4})+(4)(8x^{2})+(4)(16)\\x^6+8x^{4}+16x^2+4x^4+32x^2+64\\x^6+12x^4+48x^2+64$

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Does anyone know this

Arturiano [62]

Answer:

Step-by-step explanation:

Option C is the correct answer.

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3 years ago

let X represent the amount of time till the next student will arriv ein the library partking lot at the university. If we know t

AlekseyPX

Answer:

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

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:

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

Mean of 4 minutes

This means that $m = 4, \mu = \frac{1}{4} = 0.25$

Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:

This is:

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)$

In which

$P(X \leq 132) = 1 - e^{-0.25*132} = 1$

$P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469$

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531$

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

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3 years ago

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Natasha_Volkova [10]

Answer:

3/5

Step-by-step explanation:

To have the best chance of pulling a pair with the same color you should try to get a pair of black socks. There is a 3/5 chance of pulling a black sock so this means for every 5 socks you pull you get 3 black socks or 2 navy socks. Either way you will get a pair of socks with the same color. (Double check to make sure I'm correct)

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3 years ago

Read 2 more answers

How to round to the nearest 1000 even if there is no thousands in the number given

Katen [24]

Answer:

To round a number to the nearest 1000, look at the hundreds digit. If the hundreds digit is 5 or more, round up. If the hundreds digit is 4 or less, round down

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Alex17521 [72]

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