A catering company’s recipe for salad uses a ratio of 2 c of dressing to 4 lb of vegetables. (Hint: c = cups; lb = pounds) (a) H
ow many cups of dressing will be needed if 30 pounds of vegetables are used? (b) Draw a model for the ratio. The butterfly method works well for this.
1 answer:
Answer:
A. 15 cups
B. Diagram below
We are given that,
The ratio of dressing to the vegetables is 2 cups : 4 pounds.
A. It is given that the vegetables are of 30 pounds.
Let the number of cups be x.
Since, the ratio of dressings and vegetables will remain same.
We have,
i.e.
i.e. x= 15
Thus, we will need 15 cups of dressings for 30 pounds of vegetables.
B. As we have obtained the fractions,
2 cups : 4 pounds and 15 cups : 30 pounds
Using the butterfly method, we see from the diagram that these fractions are equivalent because the product of the numbers is equal to 60.
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Answer:
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Step-by-step explanation:
For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:
For this case we assume that we want to find a linear regression model given by:
Where:
represent the estimated slope for the model
represent the estimated intercept for the model
And for any estimation of the dependent variable is given by this model.
The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:
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d. residual