Which is a factor of 4x2 + 36x + 72?

Mathematics

2 answers:

olga55 [171]3 years ago

5 0

If you factor that out, it would be 4(x+6)(x+3)

s2008m [1.1K]3 years ago

4 0

Answer:

Factorization of $4x^2 + 36x + 72$ is:

4(x+3)(x+6)

factors are: 4, x+3 and x+6

Step-by-step explanation:

we are given a expression:

$4x^2 + 36x + 72$

We have to factorize this expression

$4x^2 + 36x + 72=4(x^2+9x+18)$

Now, we factorize $(x^2+9x+18)$

$x^2+9x+18=x^2+6x+3x+18\\\\=x(x+6)+3(x+6)\\\\=(x+3)(x+6)$

Hence, factorization of $4x^2 + 36x + 72$ is:

4(x+3)(x+6)

factors are: 4, x+3 and x+6

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Assume the random variable X is normally distributed with meanmu equals 50μ=50and standard deviationsigma equals 7σ=7.Compute th

nekit [7.7K]

Answer:

$P(35$

And we can find this probability with the following difference and using the normal standard table or excel we have:

$P(-2.143$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(50,7)$