Solve for x. Write your answer as “x=__” Don’t put the 8 into equation

Mathematics

1 answer:

kifflom [539]2 years ago

3 0

Answer: x=45

Step-by-step explanation:

2x+6=96

2x=90

x=45

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Which trinomials are perfect square trinomials?

LiRa [457]

Hello my dear Fancy Nancy!

m² + 10m + 100 ( We cannot factorize this)
m² +36m + 60 ( we cannot factorize this as well)
m² + 24m + 144 ( yes we can factorize this and we will get (x + 12)(x+12)
m² + 10m + 25 ( yes we can and we get (x+5)(x+5)

The correct option is : C and D

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2 years ago

The auto parts department of an automotive dealership sends out a mean of 4.2 special orders daily. What is the probability that

gregori [183]

The probability that, for any day, the number of special orders sent out will be exactly 3 is 0.1633.

<h3>What are some of the properties of Poisson distribution?</h3>

The Poisson distribution is a discrete probability distribution that describes the likelihood of a specific number of events occurring in a specified span of time or space, if these events occur at a constant mean rate and regardless of the time since the last occurrence.

Let X ~ Pois(λ)

Then we have:

E(X) = λ = Var(X)

Since standard deviation is the square root (positive) of variance,

Thus,

The standard deviation of X = $\sqrt{\lambda}$

Its probability function is given by

$f(k; λ) = Pr(X = k) = \dfrac{\lambda^{k}e^{-\lambda}}{k!}$

Given the mean is 4.2.

We have to find the probability that on any day, the number of special orders sent out will be exactly 3. Therefore, the value of x will be 5.

Using the Poisson distribution,

$P(x) = \dfrac{e^{-\lambda}\lambda ^x}{x!}\\\\P(5) =\dfrac{e^{-4.2}(4.2)^5}{5!}\\\\P(5) = 0.1633$