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3 years ago

Give an example of a set of ordered pairs that has five elements in its domain and four elements in its range.

Mathematics

1 answer:

LenKa [72]3 years ago

3 0

Answer:

[ (-1,0) (0,0) (1,1) (2,2) (3,3) ]

Domain = { -1,0,1,2,3 }; Range = { 0,1,2,3 }

Step-by-step explanation:

Set or collection of ordered pairs is called 'Relation'. The ordered pairs are in terms f x & y coordinate.

Eg : [ (-1,0) (0,0) (1,1) (2,2) (3,3) ]

Domain is a set of all x axis values. Range is a set of all y axis values. They are arranged non repetitively in ascending order.

Domain = { -1,0,1,2,3 }

Range = { 0,1,2,3 }

As mentioned : the relation has been designed, as such to have five elements in its domain and four elements in its range

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Answer:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

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For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

Step-by-step explanation:

Data provided

$\bar X=7.38$ represent the sample mean for the fuel efficiencies

$\mu$ population mean

s=2.51 represent the sample standard deviation

n=601 represent the sample size

Confidence interval

The formula for the confidence interval of the true mean is given by:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom for this case is given by:

$df=n-1=601-1=600$

The Confidence level for this case is 0.95 or 95%, and the significance level $\alpha=0.05$ and $\alpha/2 =0.025$ and the critical value is given by $t_{\alpha/2}=1.96$