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irga5000 [103]
3 years ago
14

A random sample of 26 restaurants was selected from all restaurants listed in Greenwich Village and their Zagat ratings were rec

orded. Zagat ratings are averages of responses from many diners who rated the restaurants on a scale of 0 to 30 on food, décor, and service. Diners also estimated the total cost of dinner, one drink, and a tip. Suppose that Zagat is interested in whether they can predict the cost of a meal from the Zagat service rating. In that study, the response (dependent) variable is:

Mathematics
1 answer:
prohojiy [21]3 years ago
3 0

Complete Question

The complete question s shown on the first uploaded image

Answer:

Correct option is B

Step-by-step explanation:

Generally the respond dependent variable can be defined as a variable whose values are dependent on the changes in other variable

Now in this question the respond (dependent) variable is the cost of meal , this because from the question the interest of Zagat is to  predict the cost of a meal from the Zagat service rating

So in this case  the independent variable is  Zagat service rating

While the responds dependent variable  is  cost of meal

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Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
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Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
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2 years ago
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The answer to your question is:         2x -13

Step-by-step explanation:

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         Simplified like terms            8x - 2x - 4x - 7 - 9 + 3

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