Salska and colleagues (2008) studied height preferences among dating partners. in their first study, they reviewed yahoo personals for heterosexual individuals living within 250 miles of los angeles, california, and recorded the acceptable range of heights for their dating partners. the following table lists some of the results. overall, did men or women show greater variability in their responses? explain. women menpreferences m sd m , inches 68.9 2.6 60.6 3.7tallestacceptableheight, inches 75.3 2.2 69.8 2.7a) women showed greater variability overall because the standard deviations for women were smaller than for men. b) women showed greater variability overall because the means for women were larger than for men. c) men showed greater variability overall because the means for men were smaller than for women. d) men showed greater variability overall because the standard deviations for men were larger than for women

D

Step-by-step explanation:

The larger standard deviation, the greater the variability.  So even before looking at the data, we can eliminate a) and c).

The standard deviations of men's preference of shortest and tallest acceptable height (3.7 and 2.7, respectively) were more than the standard deviations of women's preference of shortest and tallest acceptable height (2.6 and 2.2, respectively).

So men showed greater variability overall because the standard deviations for men were larger than for women.  Answer D.

step-by-step explanation:

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

or, 130% of $420 is 1.3($420) = $546.

notice that this is not the $600 original list price with which we started.

why doesn't this work?

the method does not work because 30% of $420 is not the same amount as the 30% of $600. it may seem obvious when stated this way, but it is a very common error made on problems of this type. we cannot just use the same percent and get back to the original amount because we are taking that percent of a different value.

to work problems of this type correctly, it is generally best to write an equation for the situation and then solve.

example: since (100% – 30%)(original price) = (sale price)

70% of the   (original price) is $420.

0.7x   = 420

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x = 600

the original cost was $600.

we may also solve this problem using the two-step method. working the problem in two steps requires us to use more algebra skills. we have to know that x = 1x (identity property of multiplicationtext annotation indicator) and that 1x – 0.3x = 0.7x (subtracting like terms). then we solve the problem as follows:

(original price) – 30%(original price) = sale price

x – 0.3x = 420

0.7x = $420

equation image indicator

x = 600

the original cost was $600.  

note that with both of the above methods we do obtain the correct original amount.

example: after a 5% pay raise, hermione is earning $22,680 per year. what was she earning before the pay raise?

105% of (original salary) = current salary

1.05x = 22,680

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x = 21,600

hermione earned $21,600 per year before the pay raise.

this is an example so maybe you will get how to at least do it!

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value