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kakasveta [241]
3 years ago
13

Solve the system by substitution 3x-y=10 2x=y

Mathematics
2 answers:
Zanzabum3 years ago
6 0

Answer

X=10 and y=20

Step-by-step explanation:

since y=2x, you need to substitute that into the equation to get:

3x-(2x)=10

And evaluate:

x=10

Then substitute 10 into the equation: 2x=y:

2(10)=y

evaluate:

20=y

Now go back to the original equation to check your answer and substitute the values in:

3(10)-(20)=10

30-20=10

10=10

klasskru [66]3 years ago
6 0
X=10, Y=20
steps
1) substitute 2x into the equation for Y
2) combine like terms ( 3x and -2x which equals 1x or x)
3) solve for x’s value (10)
4) plug in x’s value to solve for y
5) plug values into original equation to check work

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3 years ago
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41 % of the viewing audience in the a
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Answer:

null hypothesis is p=0.41

alternate hypothesis is p<0.41

Sample proportion is 0.36

critical value for a = 0.01 is -2.2326

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we fail to reject the null hypothesis in 0.01 significance level.

Step-by-step explanation:

Let p be the proportion of the viewing audience of 11:00PM CBS newscast in the area. Then

H_{0}: p=0.41

H_{a}: p<0.41

Sample proportion is 0.36 and critical value (left tailed) for a=0.01 is -2.2326

sample proportion Z-score can be calculated as follows:

z(0.36)=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

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  • p is the proportion assumed under null hypothesis. (0.41)
  • N is the sample size (100)

putting the numbers z(0.36)=\frac{0.36-0.41}{\sqrt{\frac{0.41*0.59}{100} } } =−1,0166

if the level of significance is 0.10 then critical value would be -1.28155.

in 0.01 significance level sample mean is not in the critical region, therefore we fail to reject the null hypothesis.

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