Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Complete the two-way frequency table below, which shows the relationship between students who enroll in advanced Algebra and Physics in a particular high school. From a sample of 30 students, it is found that 19 are taking Algebra, 12 are taking Physics, and 4 are enrolled in both. How many students are enrolled in either Algebra or Physics?

Complete The Twoway Frequency Table Below Which Shows The Relationship Between Students Who Enroll In Advanced Algebra And Physics In A Particular High School F class=

Sagot :

Answer:

To complete the two-way table, we will have that

[tex]\begin{gathered} Total\text{ algebra=10} \\ n(P)+n(not\text{ in physics\rparen=19} \\ 4+n(not\text{ in physics\rparen=19} \\ n(not\text{ in physics\rparen=19-4} \\ n(not\text{ in physics\rparen=15} \end{gathered}[/tex][tex]\begin{gathered} total\text{ physics=12} \\ n(P)+n(not\text{ in physics\rparen=12} \\ 4+n(not\text{ in physics\rparen=12} \\ n(not\text{ in physics\rparen=12-4} \\ n(not\text{ in physics\rparen=8} \end{gathered}[/tex][tex]\begin{gathered} The\text{ total=30} \\ n(algebra)+n(not\text{ algebra\rparen=30} \\ 19+n(not\text{ algebra\rparen=30} \\ n(not\text{ algebra\rparen=30-19} \\ n(not\text{ algebra\rparen=11} \end{gathered}[/tex][tex]\begin{gathered} Total=30 \\ n(physics\text{ total\rparen+n\lparen not physics total\rparen=30} \\ 12+n\left(notphysicstotal\right)=30 \\ n\left(notphysicstotal\right)=30-12 \\ n\left(notphysicstotal\right)=18 \end{gathered}[/tex][tex]\begin{gathered} n(not\text{ inphysicstotal\rparen=18} \\ n(notinphyicsA)+n(not\text{ in physics,not in algebra\rparen=18} \\ 15+n(not\text{ in physics,not in algebra=18} \\ n(not\text{ in physics,not in algebra=18-15} \\ +n(not\text{ in physics,not in algebra=3} \end{gathered}[/tex]

Hence,

The complete table is given below as

Therefore,

The students who enrolled in either Algebra or Physics will be

[tex]\begin{gathered} =15+8 \\ =23 \end{gathered}[/tex]

Hence,

The final answer is

[tex]\Rightarrow23[/tex]

The SECOND OPTION is the right answer

View image HazemY243236
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.