<h2>Systems of Equations Word Problems</h2>
To solve these questions, we can translate key words into operations.
- <em>Older</em> = add
- <em>Less</em> <em>than</em> = subtract
<h2>Solving the Question</h2>
We're given:
- Carlos' age is 5 less than 3 times his brother's age
- Carlos' age is 11 years higher than his brother's age
There are two variables present in this problem: Carlos' age and his brother's age.
- Let Carlos' age equal <em>x</em>
- Let his brother's age equal <em>y</em>
Translate the given information into equations:
- Carlos' age is 5 less than 3 times his brother's age
⇒ 
- Carlos' age is 11 years higher than his brother's age
⇒ 
We can solve for <em>y</em>, his brothers age, using substitution:
Now, solve for <em>x</em> by substituting <em>y</em> in either of the equations:
Therefore, Carlos is 19 years old.
<h2>Answer</h2>
Carlos is 19 years old.
Answer:
46,42
( I hope this was helpful) >;D
Answer:
Correlation is a measure of linear relationship.
Step-by-step explanation:
We are given that a correlation of 0.793 was found between the items answered and the mean score in a test.
- Correlation helps us to to know how to variables are related to each other.
- It is a statistical technique that help us to know type of relation between two variable. It may be a direct relation or a inverse relation.
- In other word, correlation is basically a measure of linear relationship between two variables.
- The correlation ranges from -1 to 1. A correlation between 0.7 and 1 is considered to be a strong correlation.
- A correlation of 0.793 means that there is a strong linear relationship between the two variables.
- Yes, there is a linear relationship between the number of questions answered and the mean score of test.
- So, it can be said as the number of questions answered increases, the mean score increases as well.
