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IrinaK [193]
3 years ago
6

The value of an explanatory variable is 5, while the corresponding value of the response variable is 15. What would be the coord

inates of this data point when plotted on a scatterplot?
A. (5,20)
B. (15,5)
C. (20,5)
D. (5,15)
Mathematics
2 answers:
vampirchik [111]3 years ago
3 0

An explanatory variable is a type of independent variable. A response variable is a type of dependent variable. An explanatory variable is used to predict or explain differences in the response variable.

The first coordinate corresponds to independent variable and the second coordinate corresponds to dependent variable.

Since independent variable takes value 5 and dependent variable takes value 15, then the point (5,15) would be the  point when plotted on a scatterplot.

Answer: correct choice D

svlad2 [7]3 years ago
3 0

Answer: D. (5,15)

Step-by-step explanation:

  • In mathematical modelling ,the explanatory variable is kind of independent variable manipulated by the researcher for the given experimental study.where as response variable is a kind of dependent variable which depends on the explanatory values input by researcher.

Since , we know that on coordinate axis the independent variable is represented by x axis whereas dependent variable is represented by y axis.

∴ The coordinates of the value of an explanatory variable is 5, while the corresponding value of the response variable is 15 when plotted on a scatter-plot gives point =(5,15)

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Answer:

The company must sell 60 or 70 items to obtain a weekly profit of 200.

Step-by-step explanation:

The profit is the difference between the revenue and the cost of a given task, therefore:

\text{profit} = R - C\\\text{profit} = 66*x - 0.2*x^2 - (40*x + 640)\\\text{profit} = 66*x - 0.2*x^2 - 40*x - 640\\\text{profit} = - 0.2*x^2 + 26*x - 640

To have a profit of 200, we need to sell:

-0.2*x^2 + 26*x - 640 = 200\\-0.2*x^2 + 26*x -840 = 0\text{ } *\frac{-1}{0.2}\\x^2 -130 + -4200 = 0\\x_{1,2} = \frac{-(-130) \pm \sqrt{(-130)^2 - 4*1*(-4200)}}{2*1}\\x_{1,2} = \frac{130 \pm \sqrt{16900 + 16800}}{2}\\x_{1,2} = \frac{130 \pm \sqrt{100}}{2}\\x_{1,2} = \frac{130 \pm 10}{2}\\x_{1} = \frac{130 + 10}{2} = \frac{140}{2} = 70\\ x_{2} = \frac{130 - 10}{2} = \frac{120}{2}  = 60

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Answer:

The first choice, 11^{15}.

Step-by-step explanation:

The numerator, 11^{18}, is equivalent to eighteen "11" multiplied together:

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On the other hand, the denominator, 11^{3}, is equivalent to three "11" multiplied with one another:

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Dividing 11^{18} by 11^{3} would eliminate three "11" from the numerator:

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In general, dividing an expression by y^{b} (y \ne 0) is equivalent to multiplying that expression by y^{-b}.

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