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2 years ago

Convert 3/8 to a decimal and percent but pls explain how you guys get 375 pls ;-;

1 answer:

7 0

You just divide 3 by 8. when 3 is inside the "house" and 8 is outside, 8 doesn't go into 3 so move on and 8 goes into 30 3 times. and so forth. 30-24=6 bring down the 0. 8 goes into 60 7 times. the decimal is 0.375. the percent is 37.5%.

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saw5 [17]

Answer:

The standard deviation of the voltage is $\sigma = 0.91$

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

The problem states that

Assume that the voltage is normally distributed with a mean of 0, so $\mu = 0$

A signal in a communication channel is detected when the voltage is higher than 1.5 volts in absolute value. What is the standard deviation of voltage such that the probability of a false signal is 0.05?

We know that $P(X>1.5) = 0.05$ . This means that when $X = 1.5$ the zscore has a pvalue of 0.95. Looking at the zscore table, we have that $Z = 1.65$ . So

$Z = \frac{X - \mu}{\sigma}$

$1.65 = \frac{1.5 - 0}{\sigma}$

$1.65\sigma = 1.5$

$\sigma = \frac{1.5}{1.65}$

$\sigma = 0.91$

The standard deviation of the voltage is $\sigma = 0.91$

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