Answer:
The y-intercept in the model represents the base salary
Step-by-step explanation:
In regression analysis, the y-intercept refers to the point where a regression line crosses or cuts the y-intercept. At this point, the value of the explanatory variable X is usually 0.
In the model, the explanatory variable x is Ashley's total sales for the year. On the other hand the dependent variable is the annual salary which depends on total sales.
Substituting x with 0 in the regression model yields;
y = 0.2(0) + 25,000
y = 25,000
The y-intercept is thus 25,000 which is simply the salary earned in the absence of sales. This is simply the basic salary.
Answer:
m = 18
Step-by-step explanation:
Given :
=> -15 is a root of the polynomial
=> It is a zero to the solution.
Process :
Substitute -15 in place of x.
=> (-15)² + (-15)m + 45 = 0
=> 225 + 45 - 15m = 0
=> 15m = 270
=> m = 270/15
=> m = 18
The amounts of sugar, butter, and flour used are 150 grams, 225 grams, and 450 grams, respectively.
Anders makes scones with three ingredients : sugar, butter, and flour. The ratio of the amounts of sugar, butter, and flour is 2:3:6. The available amounts of the ingredients in the kitchen include 200 grams of sugar, 300 grams of butter, and 450 grams of flour. He makes as many scones as he can with these ingredients.
Let the amounts of sugar, butter, and flour be 2x, 3x, and 6x, respectively. The maximum proportion is for flour. The amount of flour used is 450 grams. The amount of butter used is half of that of the flour. The amount of sugar is one-third of that of flour.
B = (3x/6x)*450 = 225
S = (2x/6x)*450 = 150
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