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liubo4ka [24]
3 years ago
5

A female executive selecting her wardrobe purchased three blazers, two blouses, and five skirts in coordinating colors. how many

ensembles consisting of a blazer, a blouse, and a skirt can she create from this collection?
Mathematics
1 answer:
Ainat [17]3 years ago
7 0
She  can make a total of 30 different outfits, just multiply them all together.
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Step-by-step explanation:

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3 years ago
A signal in a communication channel is detected when the voltage is higher than 1.5 volts in absolute value. Assume that the vol
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}

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\sigma = 0.91

The standard deviation of the voltage is \sigma = 0.91

4 0
3 years ago
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