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PolarNik [594]
3 years ago
15

Find R, if 5R²+ (22.255)² = (27.45)²​

Mathematics
1 answer:
denpristay [2]3 years ago
8 0

Answer:

R = 7.186340863

Step-by-step explanation:

5R^2 + 495.285025 = 753.5 5025

5R^2 = 258.217475

R^2 = 51.643495

R = 7.186340863

Are u Asian

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Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean
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Answer:

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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

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

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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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