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MrRa [10]
3 years ago
14

Use the confidence level and sample data to find the margin of error E. Round your answer to the same number of decimal places a

s the sample mean unless otherwise noted.
Weights of eggs: 95% confidence; n=53, /x =1.34 oz, standard deviation = 0.58 oz



A.) (0 pts) 0.13 oz


B.) (0 pts) 0.02 oz


C.) (1 pts) 0.16 oz


D.) (0 pts) 0.36 oz
Mathematics
1 answer:
iren [92.7K]3 years ago
6 0

Answer: option c

Step-by-step explanation:

margin of error = critical value × s/√n

Where s = sample standard deviation = 0.58, n = 53

The critical value = 1.96 ( this is the critical value for a two test test corresponding to a level of significance of 5%)

By substituting the parameters, we have that

Margin of error = 1.96×0.58/√53

Margin of error = 1.96 × 0.0796

Margin of error = 0.156 ~ 0.16

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<u>Given</u>:

Let A denote the angle of the given triangle which measures ∠A = 81°

Let B denote the angle which measures ∠B = 40°

The length of the side a = x.

The length of the side b = 7 cm.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the law of sine formula.

Applying the law of sine, we have;

\frac{sin \ A}{a}=\frac{sin \ B}{b}

Substituting the values, we have;

\frac{sin \ 81^{\circ}}{x}=\frac{sin \ 40^{\circ}}{7}

Simplifying, we get;

\frac{0.988}{x}=\frac{0.643}{7}

Cross multiplying, we have;

0.988 \times 7=0.643 x

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Thus, the length of the side x is 10.8 cm.

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3 years ago
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Answer:

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Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

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Step-by-step explanation:

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If f(x)=|3x-4|+2 find f(-10)
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Answer:

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Step-by-step explanation:

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