Question

act 1 venn diagram hw

1. at lhs 1600 students were surveyed. 1200 students said they felt confident in their math abilities. 450 students earned an a in their last math class. 22 students felt confident in their math abilities and did not earn an a in their last math class.
2. a group is studying youth fashion. of the 620 people observed at the local mall, 300 wore branded clothing, 88 wore neon - colored clothing, and 25 were wearing neither branded clothing nor neon - colored clothing.
3. define the categories, with abbreviations, and complete a venn diagram for each scenario. ficky business co conducted a survey of 114 employees. determine how many people:

• 51 employees are males
• 80 employees responded they drink coffee
• 21 females do not drink coffee

defined categories (with abbreviations):

1. finnigan surveyed students at his school. he found that 78 students own an iphone and 57 of those students own headphones.

• 13 students do not own an iphone and own headphones
• 9 students do not own either device

defined categories (with abbreviations):

Explanation:

1.

Step1: Identify the two - relevant groups

Let $C$ represent students confident in math abilities and $A$ represent students who earned an A in last math class.

Step2: Analyze the given data

We know $n(C)=1200$, $n(A) = 450$ and the number of students in $C$ but not in $A$ is 22.

Step1: Determine the two - fashion related groups

Let $B$ represent people wearing branded clothing and $N$ represent people wearing neon - colored clothing.

Step2: Consider the non - wearing group

25 people wear neither, out of 620 people observed.

Step1: Define the two groups based on survey data

Let $M$ represent male employees and $D$ represent employees who drink coffee.

Step2: Use the given information about non - overlapping parts

We know the number of male employees, employees who drink coffee and female non - coffee drinkers.

Answer:

Categories: Confident in math abilities ($C$), Earned an A in last math class ($A$)

2.