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AVprozaik [17]
3 years ago
15

Jason has x nickels and y dimes. He has no less than 15 coins worth a maximum of $1 combined. Solve this system of inequalities

graphically and determine one possible solution.
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
4 0

Answer:

x + y <u>></u> 15

10x + 5y <u><</u> 100

we will put it in terms of y

y <u>></u> 15 - x

and

5y <u><</u> 100 - 10x

y <u><</u> 20 - 2x

<u>-TheUnknownScientist</u>

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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}

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

4 0
3 years ago
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