Question

A softball player bats 45 times and hits the ball safely 10 times. How many additional consecutive times must the player hit the ball safely to obtain a batting average of 0.300?

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Answer 1

To obtain a batting average of 0.300, the player must hit the ball safely approximately 3.51 additional consecutive times.

Step-by-step explanation:

To determine the number of additional consecutive times the player must hit the ball safely to obtain a batting average of 0.300, we first calculate the number of hits needed to achieve this average. A batting average is calculated by dividing the number of hits by the number of at-bats. In this case, the player has 10 hits in 45 at-bats, giving them a current batting average of 0.222.

To calculate the number of hits needed, we use the formula:

Number of hits needed = (Batting average goal - Current batting average) x Number of at-bats

Substituting the values, we get:

(0.300 - 0.222) x 45 = 0.078 x 45 ≈ 3.51

Therefore, the player must hit the ball safely approximately 3.51 additional consecutive times to obtain a batting average of 0.300.