Question

part 1 of 2 a company that makes healthcare products had 2,000 people try a new shampoo. of the 2,000 people, 14 had a mild allergic reaction. what percent of the people had a mild allergic reaction? complete the percent proportion \\(\frac{14}{2,000} = \frac{p}{\square}\\) (type an integer or a decimal)

Explanation:

Step1: Recall percent proportion formula

The percent proportion is \(\frac{\text{part}}{\text{whole}}=\frac{p}{100}\), where \(p\) is the percentage. Here, the part is 14, the whole is 2000, so \(\frac{14}{2000}=\frac{p}{100}\).

Step2: Solve for \(p\)

Cross - multiply: \(2000p = 14\times100\).
Simplify the right - hand side: \(2000p=1400\).
Divide both sides by 2000: \(p=\frac{1400}{2000}=0.7\).

Answer:

The value of \(p\) is \(0.7\), so the proportion is \(\frac{14}{2000}=\frac{0.7}{100}\) (the box should be filled with 100, and the percentage \(p = 0.7\)).