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Softa [21]
2 years ago
9

Step-by-step to reduce the radical of the square root Of 160

Mathematics
2 answers:
notka56 [123]2 years ago
8 0

Answer:

4\sqrt{10}

Step-by-step explanation:

\sqrt{160}

\sqrt{16 * 10}

4\sqrt{10}

because 16 is a perfect square root and it splits into 4 * 4 while 10 isnt a perfect square root so it stays inside.

lisabon 2012 [21]2 years ago
3 0

Answer:

4\sqrt{10}\\

Step-by-step explanation:

To reduce a radical of a square root, you want to find a perfect square that multiplies into that number. 16 is a perfect square (of 4) and can be divided into 160. so \sqrt{160\\} becomes \sqrt{16} x  \sqrt{10} (because 16 x 10 = 160) then we simplify the square root of 16 to be 4. We leave the square root of 10 because it cannot be simplified.

Hope this helps!

:)

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Answer:

The answer is below

Step-by-step explanation:

1)

mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65

Given that the confidence level (c) = 90% = 0.9

α = 1 - c = 0.1

α/2 = 0.05

The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65

The margin of error (E) is given as:

E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.65*\frac{2.3}{\sqrt{65} } =0.47

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Given that the confidence level (c) = 88% = 0.88

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The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56

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E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.56*\frac{12}{\sqrt{45} } =2.8

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Best Answer
We will need to split the middle term and use the grouping method. To do this multiply the coefficient of the first term (6) against the coefficient of the last term (10):

6 * 10 = 60
Factors of 60 = +-(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60)

From the list of factors find two numbers that when added together give -19 and when multiplied together give 60. -15 and -4 added together give -19 and multiplied together give 60 so split the middle term by rewriting these values back into the expression:

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Now use the grouping method, take out the highest common factor between the two sets of terms:

3x(2x - 5y) - 2y(2x - 5y)

Group the outside terms:

(3x - 2y)(2x - 5y)


Answers
6 = -3*-2
10 = 5*2
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