Answers:
- a) <u>Yes</u>, it is a statistical question
- b) <u>No</u>, it is not a statistical question
====================================================
Explanations:
- a) We have a statistical question here because the population is the set of children's literature readers. We then gather a sample of readers (some subset of the population) and ask what their most favorite genre is of the children's literature category. As expected, we're dealing with a categorical variable and it's also qualitative. Each choice "biography", "science fiction", "fantasy", and "mystery" are categories, names or labels. There is no inherent order to any of these, other than alphabetical order, so we consider this a nominal variable.
- b) J.K. Rowling is best known for writing the Harry Potter series, which belongs in the fantasy section. There is no randomness to this answer and it's a single answer that does not change. You could have some people say that perhaps the genre is action/adventure, though I think "fantasy" is the better fit. We don't have a statistical question because we don't need to gather a sample and conduct a survey to answer this. Part (a) can vary randomly, which is one way to help see that part (a) is a statistical question; however, part (b) is fixed and constant.
Answer:
Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.
Step-by-step explanation:
For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.
In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.
To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.
9/6 = 3/2
12/8 = 3/2
15/10 = 3/2
Alternatively:
6/9 = 2/3
8/12 = 2/3
10/15 = 2/3
Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.
Given that both conditions are satisfied, then we can say these triangles are similar.
Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.
Cheers.
Answer:
7. (3,4), 8. ΔA'B'C translates to ΔABC and it means Angles A, B, and C, 9. It goes from the bottom left, top left, top right, then bottom right. 10. Both figures have the same letters. The difference is that the second figure has apostrophes. 11. you move the angle to (-3,1). And I am sorry but I don't know what #12 is.
Step-by-step explanation:
Hope this helps you!!!!!! :) :) :)
......Sorry if they're wrong.
