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Anni [7]
2 years ago
5

Rewrite each multiplication or division expression using a base and an exponent

Mathematics
1 answer:
brilliants [131]2 years ago
6 0

Using the laws of indices , 4⁵ ÷ 4² can rewritten as 4³.

<h3>What is the result of the division in exponent form?</h3>

Given the expression; 4⁵ ÷ 4²

To perform the division operation, we use one of the laws of indices;

n^a/n^b = n^{a-b}

Given that;

  • n = 4
  • a = 5
  • b = 2

Now, we apply the laws of indices ;

4⁵ ÷ 4² = 4⁵⁻² = 4³

Therefore, using the laws of indices, 4⁵ ÷ 4² can rewritten as 4³.

Learn more about exponents here: brainly.com/question/15993626?

#SPJ1

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The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\  \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}

Step 2:

Find the standard deviation.

Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)=4(0.25)+1(0.05)+0(0.15)+1(0.55)=1+0.05+0+0.55=1.60

Thus, the standard deviation is 1.60

Answer:

1.60

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