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quinteroalex2001
20.06.2021 •
Mathematics
Why do you think that increasing the number of people in a sample creates a normal curve?
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Ответ:
Increasing the number of people allows more variety and diversity, which makes the sample more accurate.
Ответ:
Step-by-step explanation:
GIVEN: A rubber ball dropped on a hard surface takes a sequence of bounces, each one
as high as the preceding one.
TO FIND: If this ball is dropped from a height of
feet, how far will it have traveled when it hits the surface the fifth time.
SOLUTION:
once the ball is dropped on hard surface it bounces
of preceding one and comes down the same distance.
When the ball is dropped from
feet height
after first hit![=12\times\frac{1}{6}\text{ up}+12\times\frac{1}{6}\text{ down}=4](/tpl/images/0588/8847/2f065.png)
new height![=12\times\frac{1}{6}=2\text{feet}](/tpl/images/0588/8847/fee43.png)
after second hit![=2\times\frac{1}{6}\text{ up}+2\times\frac{1}{6}\text{ down}=\frac{2}{3}](/tpl/images/0588/8847/64823.png)
new height![=2\times\frac{1}{6}=\frac{1}{3}\text{ feet}](/tpl/images/0588/8847/9e2a0.png)
after third hit![=\frac{1}{3}\times\frac{1}{6}\text{ up}+\frac{1}{3}\times\frac{1}{6}\text{ down}=\frac{1}{9}](/tpl/images/0588/8847/5478c.png)
new height![=\frac{1}{3}\times\frac{1}{6}=\frac{1}{18}\text{ feet}](/tpl/images/0588/8847/462c9.png)
after fourth hit![=\frac{1}{18}\times\frac{1}{6}\text{ up}+\frac{1}{18}\times\frac{1}{6}\text{ down}=\frac{1}{54}](/tpl/images/0588/8847/ecd92.png)
adding all distance![=4+\frac{2}{3}+\frac{1}{9}+\frac{1}{54}](/tpl/images/0588/8847/86210.png)
Hence the ball will travel
feet before it hits the surface fifth time.