Step-by-step explanation:
The union of sets P = {5, 6, 7, 8, 9} Q = {1, 2, 3, 4, 5} is given by which of the following? {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2,
1 answer:
Answer: First option.
Step-by-step explanation:
Given two sets <em>A</em> and <em>B, </em>the union (<em>A</em>∪B) will be the set of elements which belong to either <em>A</em> or to <em>B</em> or to both.
Inf this case you have these two sets:
{
} and
{
}
To find the union of these sets, put together the elements of the set <em>P</em> and the elements of the set <em>Q</em> (you need to remember that no element must be repeated).
Then, you get that the union of sets <em>P </em>and <em>Q</em> is:
∪
{
}
This matches with the first option.
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Answer: Prokhorova is more outstanding.
Step-by-step explanation: To compare scores from different distributions, first standardize it:
z-score =
where
x is the individual mean you want to compare
μ is the mean of the population
σ is standard deviation
For <u>Gertrud Bacher</u>:
z-score =
z-score = (s)
The negative sign indicates Bacher's mean is less than the mean
For <u>Yelena Prokhorova</u>:
z-score =
z-score = 2 (cm)
The positive sign indicates Prokhorova's mean is more than the mean.
Using z-score table, you determine the percentiles are:
For Bacher: Percentile = 5.5%
For Prokhorova: Percentile = 97.7%
Bacher's percentile means she is above 5.5% of the participants, while Prokhorova is 97.7% above the other competitors, which means Prokhorova have a better performance and deserves more points.