The answer's are:
1. About the same.
2. Greater for the 13 - 14 year old's.
Hope this helps!
Answer:
a = 8
b = 4√5
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
short side/long side = a/16 = 4/a
a² = 64 . . . . . . multiply by 16a
a = 8 . . . . . . take the square root
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hypotenuse/short side = b/4 = 20/b
b² = 80 . . . . . . . multiply by 4b
b = 4√5 . . . . . take the square root
_____
<em>Additional comment</em>
These relations for the right triangle can be summarized by the rule "the length of a segment that touches the hypotenuse is the geometric mean of the two hypotenuse segments it touches." In the case of b, that means ...
b = √((4)(4+16)) = 4√5
The same sort of relation applies to the unmarked vertical segment on the left:
c = √((16)(16+4)) = 8√5
And, we saw ...
a = √((4)(16)) = 8
Of course, if this rule is to make sense, you need to know that the geometric mean of two numbers is the square root of their product. (In general, the geometric mean of n numbers is the n-th root of their product.)
Answer:
a) There are 10 different samples of size 2.
b) See the explanation section
c) See the explanation section
Step-by-step explanation:
a) We need to select a sample of size 2 from the given population of size 5. We use combination to get the number of difference sample.

b) Possible sample of size 2:
Peter Hankish 8 Connie Stallter 6 Juan Lopez 4 Ted Barnes 10 Peggy Chu 6
- Peter Hankish and Connie Stallter ( Mean = (8 + 6)/2 = 14/2 = 7)
- Peter Hankish and Juan Lopez (Mean = (8 + 4)/2 = 12/2 = 6)
- Peter Hankish and Ted Barnes (Mean = (8 + 10)/2 = 18/2 = 9)
- Peter Hankish and Peggy Chu (Mean = (8 + 6)/2 = 14/2 = 7)
- Connie Stallter and Juan Lopez (Mean = (6 + 4)/2 = 10/2 = 5)
- Connie Stallter and Ted Barnes (Mean = (6 + 10)/2 = 16/2 = 8)
- Connie Stallter and PeggyChu (Mean = (6 + 6)/2 = 12/2 = 6)
- Juan Lopez and Ted Barnes (Mean = (4 + 10)/2 = 14/2 = 7)
- Juan Lopez and Peggy Chu (Mean = (4 + 6)/2 = 10/2 = 5)
- Ted Barnes and Peggy Chu (Mean = (10 + 6)/2 = 16/2 = 8)
c) The mean of the population is:

Comparing the mean of the population and the sample; we can say that most of the 2-size sample have their mean higher than that of the population sample. And the variation with the mean is not much. Some sample have their mean greater than population mean, while some sample have their mean greater than the population mean.
All you need to do to answer this equation is to continually add 3/4 until you get 9 1/2 or as close as you can get without going over. In this case if you keep on adding 3/4 you will get only up to 9 because you cant go over your value of 9 1/2. Your answer is D.
Writing it in the form of a+bi we get 0+4i
Step-by-step explanation:
We need to evaluate expression -16 squared and write the result in form a+bi
The given expression is: 
We know that 
We know that 16= 4x4 = 4^2
Putting values:

So, Writing it in the form of a+bi a=0 and b=4 so, 0+4i
Keywords: Complex Numbers
Learn more about Complex Numbers at:
#learnwithBrainly