Chapter 6.1, Problem 51STP

To determine

Find which statements are correct.

Answer to Problem 51STP

The statement H is wrong.

Explanation of Solution

Given:

It is given in the question that A place kicker expects to make $75\%$ of his field goal attempts this season. If it attempts $36$ field goals this season.

Concept Used:

In this, use the concept of percent proportion such that the ratio of given two number will equal to the ratio of $p/100$ .

Calculation:

Here,

If it expects to make $75\%$ of $36$ fields goal attempts, then it expects to make x fields goals, where

  $\begin{array}{l}\frac{x}{36}=\frac{75}{100}\\ x\cdot 100=75\cdot 36\\ x=\frac{75\times 36}{100}\\ x=\frac{2700}{100}\\ x=27\end{array}$

Now,

F is correct, as it is the number of field ,it found above.

G is correct, for it will miss $36-27=9$ attempts.

J is correct, as $27$ is more than half or $36$ .

H is not correct, the kicker expects to miss exactly $\frac{1}{4}$ of the field goals, not less than that.

Conclusion:

The statement H is wrong.