Question

in a survey, 800 adults were asked to identify \what is inappropriate in the workplace.\ of the 800 subjects, 74% said that sneakers were not appropriate in the workplace.
a. what is 74% of 800?
(type an integer or a decimal. do not round.)
b. among the 800 respondents, 504 said that t - shirts are unacceptable in the workplace. what percentage of respondents said that t - shirts are unacceptable in the workplace?
(type an integer or a decimal. do not round.)

Explanation:

Part a

Step1: Convert percentage to decimal

To find 74% of 800, first convert 74% to a decimal by dividing by 100: \( 74\% = \frac{74}{100}=0.74 \)

Step2: Multiply by total number

Multiply this decimal by 800: \( 0.74\times800 = 592 \)

Step1: Recall percentage formula

The formula for percentage is \( \text{Percentage}=\frac{\text{Part}}{\text{Whole}}\times100\% \)

Step2: Identify part and whole

Here, the part is 504 (number of respondents who said t - shirts are unacceptable) and the whole is 800 (total number of respondents).

Step3: Calculate percentage

Substitute the values into the formula: \( \frac{504}{800}\times100\%=0.63\times100\% = 63\% \)

Answer:

592

Part b