Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make it a 12% detergent solution. which equation c
2 answers:
The scenario involves adding water to a detergent solution for creating a new detergent solution.
In the context, g represents the number of gallons of water to be added.
In simpler terms, the problem can be expressed as
g gallons of water mixed with 11 gallons of 18% detergent solution results in a 12% detergent solution.
We can formulate this as an equation:
g gallons of water are added to 11 gallons of solution.
The total volume of the mixture will be (11 + g) gallons.
11 gallons of 18% detergent solution = 12% detergent solution.
To express percent, we can use a fraction over 100.
This allows us to rewrite the equation as
11 × 18/100 = 12/100(g+11)
Calculating 11 times 18 results in 198
Thus,
198/100 = 12/100(g+11)
Converting 198/100 into decimal yields 1.98
We can express the equation as
1.98 = 12/100(g+11)
Dividing both sides by (g+11) leads to
Consequently, the correct response is D. 1.98/11+g = 12/100.
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Answer:
a) Slope:
Intercept:
b)
Additionally, the coefficient of determination is
Step-by-step explanation:
Definitions and data provided
The correlation coefficient is a measure that quantifies the strength of the relationship between two variable movements, denoted as r and ranging between -1 and 1.
The sum of squares refers to the total of the squared deviations, where deviation is defined as the difference between each value and the grand mean.
When performing multiple regression, the aim is to analyze the relationship between multiple independent variables and one dependent variable.
n=110,
Part a
The slope can be calculated using this formula:
Following the substitutions, we have:
The intercept can be determined with this formula:
Average values for x and y can be calculated this way:
Replacing yields:
Part b
The correlation coefficient can be calculated using the following formula:
In our situation:
n=110,
We can compute the correlation coefficient by substituting values:
The coefficient of determination is