Agym surveyed 100 female members. these members were chosen at random from the gym's membership database. participants were asked the question, "do you prefer to use the easy weight-lifting machines or the harder free weights? " a report of the survey results stated that female members at the gym prefer the weight-lifting machines over the free weights. select all statements that correctly evaluate the report. the sample is biased because it does not represent the population. the question is not biased. the question is biased towards a response of preferring to use weight-lifting machines. the sample is not biased. the question is biased towards a response of preferring to use free weights.

Given that there is a survey of 100 randomly selected female members of the gym about choosing between "easy weight-lifting machines or the harder free weights".

Report of the survey says that "female members at the gym prefer the weight-lifting machines over the free weights."

Now we have to select from the given statements that correctly evaluate the report.

According to me "The question is biased towards a response of preferring to use weight-lifting machines." because description of word "hard" is used for "free weights" while word "easy" is used for "machines". That may persuade some people to choose the machine.

Since 100 females are randomly selected not specifically so "The sample is not biased."

Hence final answer should have two statements:

1) The question is biased towards a response of preferring to use weight-lifting machines.

2) The sample is not biased.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.