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sertanlavr [38]
3 years ago
14

Which expression uses the greatest common factor and the distributive property to rewrite the sum 7 + 75

Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0

Answer:

75 + 45 = 15(3 + 5)

Step-by-step explanation:

Given

75 + 45 <em>-- Corrected</em>

Required

Use the GCF to write it as a distributive property

First, we find the GCF of 75 and 45

45 = 3 * 3 * 5

75 = 3 * 5 * 5

The common factor is:

GCF = 3 * 5

GCF = 15

So, 75 + 45 becomes

75 + 45 = 15 * 3 + 15 * 5

Factorize

75 + 45 = 15(3 + 5)

<em>Hence, the sum has been rewritten as </em>15(3 + 5)<em></em>

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

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

Its probability function is given by

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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,

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

Learn more about Poisson distribution here:

brainly.com/question/7879375

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