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Stella [2.4K]
2 years ago
6

Simplify (step by step too)

Mathematics
1 answer:
koban [17]2 years ago
6 0

The simplified form of the expression √( 45 x⁸ w⁷ ) is 3x⁴w³√(5w).

<h3>What is the simplified form of the expression?</h3>

Given the expression in the question;

√( 45 x⁸ w⁷ )

First, factor out 9 from 45

√( 9(5) x⁸ w⁷ )

√( 3²(5) x⁸ w⁷ )

Rewrite x⁸ as (x⁴)²

√( 3²(5) (x⁴)² w⁷ )

Rewrite w⁷ as ( w⁶ × w )

√( 3²(5) (x⁴)² ( w⁶ × w ) )

Rewrite w⁶ as (3³)²

√( 3²(5) (x⁴)² (w³)² × w  )

We can now take the square roots of all the terms with a power of 2 and take them out of the square root

(3)(x⁴)(w³)√(5w)

3x⁴w³√(5w)

Therefore, the simplified form of the expression √( 45 x⁸ w⁷ ) is 3x⁴w³√(5w).

Learn more about exponent rule here: brainly.com/question/15993626

#SPJ1

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Answer:

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Step-by-step explanation:

Using binomial probability formula, we have :

P( a out of n ) =ⁿCₐ x pᵃ x qⁿ⁻ᵃ  ------------------------------------------------- (1)

Where n = total number of sample

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            q = probability of failure

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From the question:

n =10 , a = 7, p=0.54, q = 1-p = 0.46

Substituting into equation (1) we have:

P (7 out of 10) =  ¹⁰C₇ x (0.54)⁷x (0.46)¹⁰⁻⁷

                      = 0.1563

                     ≈ 0.156

                   

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Answer:” use

Step-by-step explanation:

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As per the statement:

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It is also given that:

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Step-by-step explanation:

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