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dalvyx [7]
3 years ago
9

Each of the statements contains a blunder. In each case, choose the statement that correctly explains the blunder. (a) "There is

a high correlation between the sex of American workers and their income." Choose the statement that correctly explains the blunders.
The correlation must give the units of the income.
Correlation requires both variables to be qualitative.
The statement must include how they categorized different level of income.
Correlation requires both variables to be quantitative.
Mathematics
1 answer:
Vikki [24]3 years ago
4 0

Answer:

Correlation requires both variables to be quantitative.

Step-by-step explanation:

The correlation coefficient measures the strength of relationship between two quantitative variables. In the given scenario correlation between sex of American workers and their income is computed and indicated that there is a high correlation between them. The sex of American worker is a categorical variable or a qualitative variable while income of American worker is a quantitative variable. The correlation between a quantitative variable and a qualitative variable can't be computed. So, the statement explains the blunder in the given scenario is "Correlation requires both variables to be quantitative".

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Simplify: cos2x-cos4 all over sin2x + sin 4x
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Answer:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

Step-by-step explanation:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}

Apply formula:

\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right) and

\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)

We get:

=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}

=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}

=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}

=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}

=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}

=\frac{\sin\left(x\right)}{\cos\left(x\right)}

=\tan\left(x\right)

Hence final answer is

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

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