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4 years ago

The range of the following relation: R: {(3, −2), (1, 2), (−1, −4), (−1, 2)} is

Mathematics

1 answer:

Ket [755]4 years ago

3 0

The range is the y-coordinate of the points
Hence, range = {-2, 2, -4, 2} = {-4, -2, 2)
2 cannot be written twice.

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Plot the number 2.78 on the number line please help me

Alex777 [14]

It would be between 2.77 and 2.79

3 0

4 years ago

(9x-8)(9x+8) answer ??

DerKrebs [107]

(9x - 8)(9x + 8)

9x × 9x = 81x²

9x × 8 = 72x

-8 × 9x = -72x

-8 × 8 = -64

= 81x² + 72x - 72x - 64

The 72x cancels out, so you're left with 81x² - 64.

The answer is 81x² - 64.

4 0

3 years ago

In a recent poll of 1,200 homeowners in the United States, one in five homeowners reports having a home equity loan that he or s

Aleks04 [339]

Answer:

Interval estimate for the proportion of all homeowners in the United States that hold a home equity loan lie between (.17033 , .22967 ) or 17% to 22.9%

Step-by-step explanation:

Given -

In a recent poll of 1,200 homeowners in the United States, one in five homeowners reports having a home equity loan that he or she is currently paying off.

If one in five homeowners reports having a home equity loan then for 1200 homeowners = $\frac{1200}{5}$ = 240 homeowners reports having a home equity loan.

Sample proportion $(\widehat{p})$ = $\frac{240}{ 1200}$ = 0.2

confidence coefficient = 0.99

$(\alpha)$ = 1 - confidence coefficient = 1 - 0.99 = .01

$z_{\frac{\alpha}{2}} = z_{\frac{.01}{2}}$ = 2.58

interval estimate for the proportion of all homeowners in the United States that hold a home equity loan

= $\widehat{p}\pm z_{\frac{\alpha}{2}}\sqrt\frac{{\widehat{p}( 1 - \widehat{p})}}{n}$

= $0.2\pm z_{\frac{.01}{2}}\sqrt\frac{{0.2( 1 - 0.2)}}{1200}$

= $0.2\pm 2.58\times \sqrt\frac{{0.2( 0.8)}}{1200}$

= $0.2\pm .02967$

= $(0.2 - .02967 ) , (0.2 + .02967)$

= (.17033 , .22967 )

6 0

4 years ago

Find the slope (7,-2) and (6,-2)

alexgriva [62]

I hope this helps you

7 0

4 years ago

Analyze this data, and match each percentage to the description it represents. Round your answers to the nearest whole number. 3

Aleksandr [31]

Answer:

(a)The percentage of hatchbacks that run on gasoline.=78%

(b) The percentage of diesel vehicles that are hatchbacks.=21%

(c)The percentage of SUVs that run on gasoline=30%

(d)The percentage of gasoline vehicles that are sedans=42%

(e)The percentage of sedans that run on diesel =44%

(f)The percentage of gasoline vehicles that SUVs.=8%

Step-by-step explanation:

This table gives information about vehicles sold at a dealership in a month.

------------------Gasoline-------Diesel

Hatchback------18---------------5

Sedan------------15---------------12

SUV----------------3----------------7

(a)The percentage of hatchbacks that run on gasoline.

Total Number of Hatchbacks=23

Number that run on Gasoline=18

Percentage that run on gasoline=(17/23)X100=78%

(b) The percentage of diesel vehicles that are hatchbacks.

Total Number of Diesel Vehicles=5+12+7=24

Number of Diesel Hatchbacks=5

Percentage of diesel vehicles that are hatchbacks=(5÷24)X100=21%

(c)The percentage of SUVs that run on gasoline

Total Number of SUVs=10

Number of Gasoline SUVs=3

Percentage of SUVs that run on gasoline=(3÷10)X100=30%

(d)The percentage of gasoline vehicles that are sedans.

Total Number of Gasoline Vehicles=18+15+3=36

Number of Gasoline sedans=15

Percentage of Sedans that run on gasoline=(15÷36)X100=42%

(e)The percentage of sedans that run on diesel

Total Number of Sedans=15+12=27

Number of Diesel Sedans=12

Percentage of sedan that run on diesel=(12÷27)X100=44%

(f)The percentage of gasoline vehicles that SUVs.

Total Number of Gasoline Vehicles=18+15+3=36

Number of Gasoline SUVs=3

Percentage of SUVs that run on gasoline=(3÷36)X100=8%

4 0

3 years ago