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Cloud [144]
3 years ago
12

Substitution. 3x + 2y = 12 y = 2x – 1

Mathematics
1 answer:
Korvikt [17]3 years ago
3 0

Answer:x=2 and y=3

Step-by-step explanation:

Given that y=2x-1

Then, 3x+2y=12

3x+2(2x-1)=12

3x+4x-2=12

7x=14

x=2

y=2(2)-1

y=3

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qwelly [4]

Answer:

that answers wrong

Step-by-step explanation:

6 0
3 years ago
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The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a
Leya [2.2K]

Answer: (0.665 , 0.777)

Step-by-step explanation:

Given : Sample size of consumers: n=420  ;

Number of consumers say their ColorSmart-5000 television sets did not need a repair=303

The the sample proportion for consumers say their ColorSmart-5000 television sets did not need a repair : \hat{p}=\dfrac{303}{420}\approx0.721

Significance level : \alpha:1-0.99=0.01

Critical value = z_{\alpha/2}=\pm2.576

The confidence interval for population proportion is given by :_

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

i.e.  0.721\pm (2.576)\sqrt{\dfrac{0.721(1-0.721)}{420}}

\approx0.721\pm 0.056=(0.721-0.056,0.721+0.056)\\\\=(0.665\ ,\ 0.777)

Hence,  a 99 percent confidence interval for the proportion of all ColorSmart-5000 television sets that have lasted at least five years without needing a single repair = (0.665 , 0.777)

7 0
3 years ago
A sector with an area of 30(pi) cm^2 has a radius of 10 cm.
Karolina [17]

Answer:

  108°

Step-by-step explanation:

The area of a sector is given by the formula ...

  A = (1/2)r²θ . . . . . where θ is in radians

Solving for θ, we find ...

  θ = 2A/r²

For your given sector, the central angle is ...

  θ = 2(30π cm²)/(10 cm)² = 0.6π . . . . radians

π radians is 180°, so the central angle in degrees is ...

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The central angle measure of the sector is 108°.

3 0
3 years ago
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RoseWind [281]

Answer:

Your answer tho this question is N > 15

Work :

2n>30

<em>Divide both sides by 2.</em>

<em />

2n/2 > 30/2

n>15

Hope this helps

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3 years ago
Write an integer between 1.6 and 3.7
Alisiya [41]
2 is a whole number between 1.6 and 3.7
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3 years ago
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