Mathematics High School

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.

Which season is the least popular in this group? 1. winter 2. spring 3. summer 4. fall

How many more people have allergies than people without allergies in this group?

How many people were surveyed in this group?

Answers

Answer 1

Answer:

1. spring

2. 21

3. 225

Step-by-step explanation:

102-123=21

all the numbers added equal 225

Answer 2

The solution is

A) The season which is least popular is Spring

B) The number of people who have more allergies than the non-allergic group is 21 people

C) The total number of people surveyed is 225 people

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the Allergic group be = A

Let the non-allergic group be = B

Now , the equation is given as

Allergic Group A = { Winter = 43 , Spring = 12 , Summer = 35 , Fall = 33 }

Non-Allergic Group B = { Winter = 21 , Spring = 13 , Summer = 33 , Fall = 35 }

To find the lease popular season

Find the number in the group which has the least values

So , the Spring season of Group B has the least number of people

Therefore , the spring season of non-allergic group is least popular

The total number of Allergic people = Total sum of Allergic group A

So , the equation will be

Sum of Group A = 43 + 12 + 35 + 33

Sum of Group A = 123 people

Now ,

Total number of non-allergic people = Total sum of non-allergic group B

So , the equation will be

Sum of Group B = 21 + 13 + 33 + 35

Sum of Group B = 102 people

So , the difference between Group A and Group B = 123 - 102

= 21 people

Therefore , a total of 21 people were more in allergic group

The total number of people surveyed = Sum of Group A + Sum of Group B

So , the equation will be

The total number of people surveyed = 123 + 102

The total number of people surveyed = 225 people

Therefore , The total number of people surveyed is 225 people

Hence ,

A) The season which is least popular is Spring

B) The number of people who have more allergies than the non-allergic group is 21

C) The total number of people surveyed is 225 people

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The answers to that is x=50

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Solution to an equation means that value of the variable for which the equation is satisfied.

Given the following equation:

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To check x=-50 is the solution:

Put x=-50 in the given equation

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To check x=50 is the solution:

Put x=50 in the given equuation

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Thus, x=50 is not the solution.

To check x=90 is the solution:

Put x=90 in the given equation

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=-0.20(90-20)

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LHS=14

RHS= 44-x

=44-(90)

RHS=-54

LHS≠RHS

Thus, x=-90 is not the solution.

Thus x=50 is the solution to the given equation. So, option C is correct.

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