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1 year ago

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Mathematics

1 answer:

kompoz [17]1 year ago

3 0

The relative frequency for the range 16 - 20 is 0.27.

<h3>What is the frequency of a data set?</h3>

The frequency of a data set refers to the number of times a data or an event is occurring.

From the given information:

Range Number of values

1 - 5 3

6 - 10 1

11 - 15 4

16 - 20 5

21 - 25 2

Total 15

Relative Frequency = Subgroup frequency/ Total frequency

Relative Frequency for the range 16 - 20:

= 4/15

= 0.27

Learn more about frequency here:

brainly.com/question/1094036

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Answer:

See explanation

Step-by-step explanation:

cos(θ)= 18/30 = 3/5

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Simplify the expression. Rewrite using only positive exponents.

Dvinal [7]

The simplified form of the given expression is $x^{18}a^{3}b^{3}$ .

The given expression is $(\frac{x^{4}a^{2}b^{3} }{x^{-2}ab^{2}} )^{3}$ .

We need to simplify the given expression.

<h3>What are the basic laws of exponents?</h3>

The basic laws of exponents are as follows:

$a^{m} \times b^{m} =(ab)^{m}$

$a^{m} \div b^{m} =(\frac{a}{b} )^{m}$

$a^{m} \times a^{n} =(a)^{m+n}$

$a^{m} \div a^{n} =(a)^{m-n}$

Now, $(\frac{x^{6}a^{2}b^{3} }{ab^{2}} )^{3}=(\frac{x^{18}a^{6}b^{9} }{a^{3}b^{6}} )$

$=x^{18}a^{3}b^{3}$

Therefore, the simplified form of the given expression is $x^{18}a^{3}b^{3}$ .

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