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4 years ago

Find Au B if A ={ 4,7,10,13,17} and B={3,5,7,9}.

Mathematics

2 answers:

baherus [9]4 years ago

8 0

Answer:{3,4,5,7,9,10,13,17}

Step-by-step explanation Just took he test. Have a great day!

Marrrta [24]4 years ago

4 0

Combine the two sets to form one giant set. If needed, toss out any duplicate values.

So,
A U B = {4,7,10,13,17, 3,5,7,9}

Toss out the duplicate item "7" and sort the values to get

A U B = {3,4,5,7,9,10,13,17}

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Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

Step-by-step explanation:

Problems of normally distributed samples are 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:

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

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 12, \sigma = 3$

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

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

$Z = \frac{16 - 12}{3}$

$Z = 1.33$

$Z = 1.33$ has a pvalue of 0.9082

1 - 0.9082 = 0.0918

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

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