Percentages A student takes an exam and gets 27 out of 33 questions correct. ( a) Calculate the percent correct to two decimal places past the decimal (i.e. 50.00%) ( b) Calculate the percent incorrect to two decimal places past the decimal.

Respuesta :

Given:

Total question = 33

Correct question = 27

Find-:

(A) Calculate the percent correct to two decimal places

(B) Calculate the percent incorrect to two decimal places

Explanation-:

(A)

The total question is 33 and the correct question is 27.

The percentage of correct questions is:

[tex]\begin{gathered} =\frac{27}{33}\times100 \\ \\ =\frac{9}{11}\times100 \\ \\ =0.81818\times100 \\ \\ =81.82\% \end{gathered}[/tex]

The total correct question is 81.82%

(B)

The total question is 33 and the correct question is 27.

Then,

The incorrect question is:

[tex]\begin{gathered} \text{ Incorrect question }=33-27 \\ \\ \text{ Incorrect question }=6 \end{gathered}[/tex]

The percentage of incorrect questions is:

[tex]\begin{gathered} =\frac{6}{33}\times100 \\ \\ =\frac{2}{11}\times100 \\ \\ =0.181818\times100 \\ \\ =18.18\% \end{gathered}[/tex]

The total number of incorrect question is 18.18%