Chapter 7.3, Problem 45STP

To determine

To find: the statement which does not represent the place kicker’s expectation.

Answer to Problem 45STP

Option Cdoesnot represent the place kicker’s expectation

Explanation of Solution

Given:

75% of 36 field goals.

1. The place kicker will make 27 field goals.
2. The place kicker will miss 9 field goals.
3. Less than $\frac{1}{4}$ of the field goal attempts will be missed.
4. The place kicker will make more than $\frac{1}{2}$ of his field goal attempts.

Calculation:

Let n represents the part.

  $\begin{array}{l}\frac{n}{36}=\frac{75}{100}\text{ Write the percent proportion}\\ n\times 100=75\times 36\text{ Find the cross product}\\ \text{ 100}n\text{=2700 Multiply}\\ \frac{100n}{100}=\frac{2700}{100}\text{ Divide each side by 100}\text{.}\\ n=27\text{ Simplify}\end{array}$

So, 75% of 36 is 27, the place kicker experts he that will make 27 field goals.

  $36-27=9,$ The place kicker experts that he will miss 9 field goals.

  $\frac{1}{4}\times 36=9$ And 9 is not greater than 9 .

So, the place kicker does not expert less than $\frac{1}{4}$ of his field goal attempts will be missed.

  $\frac{1}{2}\times 36=18$ And $27>18$

So, the place kicker experts that he will make more than $\frac{1}{2}$ of hisfield goal attempts.

So, option: C is the solution.

Conclusion:

Therefore, option Cdoesnot represent the place kicker’s expectation