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3 years ago

X cubed = 64/27 A= ±8/3 B= 8/3 C= ±4/3 D= 4/3

Mathematics

1 answer:

Digiron [165]3 years ago

5 0

Answer:

Step-by-step explanation:

x³ = 64/27

Take the cube root of both sides.

x = ∛(64/27)

Distribute the cube root to the numerator and denominator.

x = (∛64)/(∛27)

Take the cube root of the terms.

x = 4/3

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Step-by-step explanation:

The formula to find the standard deviation:-

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Then, $\overline{x}=\dfrac{\sum_{i=1}^{10} x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{560+562+556+558+560+556+559+561+565+563}{10}\\\\\Rightarrow\ \overline{x}=\dfrac{5600}{10}=560$

Now, $\sum_{i=1}^{10}(x_i-\overline{x})^2=0^2+2^2+(-4)^2+(-2)^2+0^2+(-4)^2+(-1)^2+1^2+5^2+3^2\\\\\Rightarrow\ \sum_{i=1}^{10}(x_i-\overline{x})^2=76$

Then, $\sigma=\sqrt{\dfrac{76}{10}}=\sqrt{7.6}=2.76$

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