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gogolik [260]
3 years ago
13

Apply the distributive property to factor out the greatest common factor. 45e − 27 f =

Mathematics
2 answers:
Varvara68 [4.7K]3 years ago
6 0

45e=9\cdot5e\\\\27f=9\cdot3f\\\\45e-27f=9\cdot5e-9\cdot3f=9\cdot(5e-3f)

jeyben [28]3 years ago
3 0

Answer:

45e − 27 f = 9(5e - 3f)

Step-by-step explanation:

We are given a expression:

45e-27f

We have to apply the distributive property to factor out the greatest common factor.

Distributive property says that:

a(b+c)=ab+bc

45e-27f

=9.5.e-9.3.f

Taking 9 common from both the terms

=9(5e-3f)

Hence, 45e − 27 f = 9(5e - 3f)

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STEP-BY-STEP EXPLANATION:

Given:

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\begin{gathered} \alpha=100\%-95\%=5\%=0.05 \\  \\ \alpha\text{/2}=\frac{0.05}{2}=0.025 \\  \\ \text{ The corresponding Z value for \alpha/2 = 0.025 is as follows:} \\  \\ Z_{\alpha\text{/2}}=1.96 \end{gathered}

Now, we calculate the minimum value of the sample size as follows:

\begin{gathered} n=\left(\frac{Z_{\alpha\text{/2}}\cdot\sigma}{E}\right)^2 \\  \\ \text{ We replacing:} \\  \\ \:n=\left(\frac{1.96\cdot 700}{135}\right)^2 \\  \\ \:n=103.2858\cong104 \end{gathered}

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