Question

16 of 2016 of 20 QuestionsQuestionUse the following information and the table to answer the question.Niko surveyed a group of students to determine how many of them play a musical instrument.His survey results are found in the following two-way frequency table. Plays Instrument Does Not Play Instrument Total Boys 12 _[blank B]_ 25 Girls _[blank A]_ 9 24 Total 27 22 49 Select the two answers that correctly fill in the missing values in the table. Select one answer for blank A, and select one answer for blank B.blank A: 39blank B: 33blank A: 33blank B: 31blank B: 13blank A: 15

Answer 1

BlankB: 13

BlankA:15

Step-by-step explanation

Two-way tables are a way of sorting data so that the frequency of each category can be seen quickly and easily

Step 1

so, in the given table, the third column( total ) must be the addition of columns 1 and 2, so

for row 1

`12+BlankB=25`

to solve for blankB, subtract 12 in both sides

`\begin{gathered} 12+BlankB=25 \\ 12+BlankB-12=25-12 \\ BlankB=13 \end{gathered}`

threfore,

BlankB: 13

Step 2

now, for row 2

`Blank\text{ A+9=24}`

to solve, subtract 9 in both sides

`\begin{gathered} Blank\text{ A+9=24} \\ Blank\text{A+9-9=24-9} \\ BlankA=15 \end{gathered}`

therefore,

BlankA:15

I hope this helps you