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Gnom [1K]
3 years ago
8

Select all fractions that are greater that 1/2

Mathematics
1 answer:
yaroslaw [1]3 years ago
3 0

Answer:

You need to put the fractions for us to answer but fractions that are greater than 1/2 include: 3/4 and  4/7  and  basically any fraction that has a value greater than 0.5

Step-by-step explanation:

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Answer:

E[R] = 99 Ω

\sigma_R = 2.3094 Ω

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Step-by-step explanation:

The mean resistance is the average of edge values of interval.

Hence,

The mean resistance, E[R] = \frac{a+b}{2}  = \frac{95+103}{2} = \frac{198}{2} = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333

Hence,

The standard deviation of resistance, \sigma_R = \sqrt{V(R)} = \sqrt5.333 = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

z_1 = \frac{102-99}{2.3094} = 1.299

z_2 = \frac{98-99}{2.3094} = -0.433

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

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3 years ago
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