Chapter 7.1, Problem 7E

1.

To determine

To calculate: The successful first serves by the first player.

Answer to Problem 7E

  $114$ Serves are successful first serves by the first player.

Explanation of Solution

Given information: first player had $75\%$ present successful first serves in $152$ serves and second player had $60\%$ present successful first serves in $125$ serves.

Calculation:

As provided first player had $75\%$ present successful first serves in $152$ serves

Therefore,

  $\begin{array}{l}\text{successful first serves by the first player=75\%}\text{of}\text{152}\\ \text{successful first serves by the first player}=\frac{75}{100}\times 152\\ \text{successful first serves by the player first}=\frac{3}{4}\times 152\\ \text{successful first serves by the player first=3}\times \text{38}\\ \text{successful first serves by the player first}=114\end{array}$

Hence,

  $114$ Serves are successful first serves by the first player

2.

To determine

To calculate: the successful first serves by the second player.

Answer to Problem 7E

  $75$ Serves are successful first serves by the second player.

Explanation of Solution

Given information: first player had $75\%$ present successful first serves in $152$ serves and second player had $60\%$ present successful first serves in $125$ serves.

Calculation:

As provided second player had $60\%$ present successful first serves in $125$ serves

Therefore,

  $\begin{array}{l}\text{successful first serves by the second player=60\%}\text{of}\text{125}\\ \text{successful first serves by the second player}=\frac{60}{100}\times 125\\ \text{successful first serves by the second}\text{player}=\frac{3}{5}\times 125\\ \text{successful first serves by the second}\text{player =3}\times 25\\ \text{successful first serves by the second}\text{player}=75\end{array}$

Hence,

  $75$ Serves are successful first serves by the second player.

3.

To determine

To calculate: the difference of successful first serves of both players.

Answer to Problem 7E

  $39$ Serves is the difference of successful first serves of both players.

Explanation of Solution

Given information: first player had $75\%$ present successful first serves in $152$ serves and second player had $60\%$ present successful first serves in $125$ serves.

Calculation:

As calculated

  $114$ Serves are successful first serves by the first player.

  $75$ Serves are successful first serves by the second player.

  $\begin{array}{l}\text{difference}\text{of}\text{first}\text{successful}\text{serves=114-75}\\ \text{difference}\text{of}\text{first}\text{successful}\text{serves}=39\end{array}$

Hence,

  $39$ Serves is the difference of successful first serves of both players.