A reporter determines a baseball player's batting average, which is a ratio of number of hits to the number of times at bats. The result shown on a calculator as 0.2121....…

Question

asked Sep 24, 2019 169k views

2 Answers

Dannis Case · Answer 1 · 2019-09-25T09:53:26+0000

x:200

x/200 = .2121212121...

200(x/200) = 200(.2121212121...)

x = 42.4242...

A player would be expected to get 42 hits in 200 at bats

Schickling · Answer 2 · 2019-09-29T10:32:48+0000

Hence, the number of hits a player would expect to get in 200 at bats is:

42

It is given that:

The ratio of:

Number of hits to the number of times at bats is: 0.212121..

Now we are asked to find the number of hits made if the player gets 200 at bats

Let the number of hits be : x

Now, we know that the ratio given will be equal to the ratio from this given value.

(x)/(200)=0.212121

i.e.

$x=200* 0.212121\\\\i.e.\\\\x=42.4242$

which is approximately equal to 42.