Step-by-step explanation:
3x-2x=5+10 [taking variables on one side and constant on other]
x=15
soln:
3x-5= 2x+10
3x -5+5=2x+10+5 [ adding 5 on both side]
3x=2x+15
3x-2x=2x+15-2x [subtracting 2x on both side]
x=15
Ans=15
The statistical test that would be most appropriate determine the answer the researcher is interest in knowing is a chi-square test.
<h3>
What is a chi-square test?</h3>
A chi-square test is a statistical test used to test the relationship between categorical variables. It is used to determine the difference between the expected data and the observed data is due to chance.
Chi squared = 
Where:
= observed value
= expected value.
The researcher is interested in knowing if the response to lowering the legal age for drinking alochol (observed value)) varies by gender (expected value). Thus, a chi-square test would be used.
To learn more about chi-square, please check: brainly.com/question/14082240
Answer:

Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
if a die is rolled the sample space is

if two dice rolled the sample space is

so
The possible pairs are

The size of the event space x is



substitute

Simplify
