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Answers: Choice B and Choice C</h3>
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Explanation:
The symbol
or mu represents the population mean, which is a parameter.
The symbol
or sigma represents the population standard deviation, which is also a parameter. The same goes for the symbol p, without any hat on top, as it is the population proportion.
If something represents a population data item, then it's automatically a parameter. It might help to think both words "population" and "parameter" start with the letter P.
Based on those previous paragraphs, we can rule out choices A, D and E. Those three items are parameters. This leaves <u>choices B and C</u> as our final answers.
or xbar is a sample statistic, and it represents an estimate of the population mean. Similarly,
or p-hat is the sample proportion and it represents an estimate of the population proportion. These are considered unbiased estimators.
Another example of an unbiased estimator is the variable s which represents the sample standard deviation and it estimates the value of sigma. All of these estimators have one thing in common: they are based on a sample, which in turn tries to predict what the corresponding population value is. In other words, the statistic's job is to estimate the parameter.
Below is a reference table for all of the items mentioned.
Nelson Mandela was arrested in Howick. Rumours were spread the Mandela’s connection with the communist made him a target of US officials.US officials continued to track the activities of Nelson Mandela, and they found a collaborator in the South African government.
G(-30)=2(-30)/3+3
g(-30)=(-60/3)+3
g(-30)=-20+3
g(-30)=-17
Hello oddworld7836!

Factor the expression into an equivalent form 12y² - 75.


By observing the expression, we can see that, 3 is the only common factor in both the terms of the expression. So, take the common factor 3 out.

Now, look at (4y² - 25). They don't have any common factors but they appear in the form of the algebraic identity ⇨ a² - b² = (a + b) (a - b). Here,
- a² = 4, a = 2 (√a² = ✓4 = 2)
- b² = 25, b = 5 (√b² = ✓25 = 5)
So, the (4y² + 25) becomes...

Now, bring the 3 (common factor) & rewrite the complete expression.

We can't further simplify it. Also, remember that the simplified form of an expression is equivalent to the expression. So, 3 (2y - 5) (2y + 5) is equivalent to 12y² - 75.
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Hope it'll help you!
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