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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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Some time ago , Keith's height and his nephew's height were at a ratio of 15:7. Then, Keiths height increased by 16% and his nep
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Answer:

The answer is below

Step-by-step explanation:

The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.

\frac{x}{y}=\frac{15}{7}  \\x=\frac{15}{7}y

Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x

The nephew height is doubled, therefore his new height is 2y.

Given that Keith is now 34 cm taller than his nephew

1.16x = 2y + 34

but x = (15/7)y

1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm

The nephews new height = 2y = 2(70) = 140 cm

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Their total current height = 140 cm + 174 cm = 314 cm

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I need help with this problem, i am confused and don't know what to do.​
klasskru [66]

Problems a through c are asking you what the values would be at those values.

What will the value of f(x) be at x=0? Let's look at the graph.

It seems at x=0, f(x)=0, meaning that f(0)=0

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At x=-3, f(-3)=2

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For the last question, it is giving us the f(x) value and asking us which x values would give us that.

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*Note* this function is continuous to the right, meaning that there is another point where f(x)=3.

Hope this helps.

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3 years ago
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