Question

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....

How many hits would the player be expected to get in 200 at bats? Explain

Answer 1

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

Answer 2

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

42

Explanation:

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.