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Alinara [238K]
3 years ago
10

Packages of laundry soap are labeled 70 oz, but they are actually filled with mean contents of 70.2 oz and standard deviation 0.

6 oz. if a student took a random 30 boxes of the soap and weighed the contents of each, the mean of the sampling distribution of the mean of samples of size 30 is
Mathematics
1 answer:
kozerog [31]3 years ago
3 0

Answer:

Step-by-step explanation:

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MrRissso [65]

To solve the problem we must know about Sine Rule.

<h3>What is Sine rule?</h3>

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,

\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}

where

  • Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
  • Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
  • Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.

The value of w is 4.0 cm.

Given to us

  • VW = 3.3 cm,
  • ∠U = 31°,
  • ∠W = 39°,
<h3>Using the sine law,</h3>

\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}

Substitute the values,

\dfrac{Sin\ W}{w} = \dfrac{Sin\ U}{VW}

\dfrac{Sin\ 39^o}{w}=\dfrac{Sin\ 31^o}{3.3}

w=\dfrac{(Sin\ 39^o) \times 3.3}{Sin\ 31^o}

w = 4.03224 cm ≈ 4.0 cm

Hence, the value of w is 4.0 cm.

Learn more about Sine Rule:

brainly.com/question/17289163

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