Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

5 from unit 3, lesson 1 many adults are selected at random to respond t…

Question

5 from unit 3, lesson 1
many adults are selected at random to respond to a survey about their favorite season
and whether they have allergies or not. the two - way table summarizes the results from
the survey.
a. which season is the least popular in this group?
b. how many more people in this group have allergies than do not have allergies?
c. how many people were surveyed in this group?

Explanation:

Step1: Calculate the total number of people for each season

For Winter: \(43 + 21=64\)
For Spring: \(12 + 13 = 25\)
For Summer: \(35+33 = 68\)
For Fall: \(33 + 35=68\)

Step2: Find the season with the least total

Since \(25<64<68 = 68\), Spring has the least total.

Step3: Calculate the number of people with allergies and without allergies

Number of people with allergies: \(43+12 + 35+33=123\)
Number of people without allergies: \(21+13+33+35 = 102\)
Difference: \(123-102 = 21\)

Step4: Calculate the total number of people surveyed

Total \(=123 + 102=225\)

Answer:

a. Spring
b. \(21\)
c. \(225\)