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Wittaler [7]
3 years ago
10

How is y=1/2x+3 and 2y=x+6 equivalent?

Mathematics
2 answers:
MA_775_DIABLO [31]3 years ago
4 0
Multiply the whole equation by 2 and you will get 2y=x+6
frutty [35]3 years ago
3 0
As the second equation is equivalent if you divide the entire equation by 2
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A campaign strategist wants to determine whether demographic shifts have caused a drop in allegiance to the Uniformian Party in
Bas_tet [7]

Answer:

d. There is not enough evidence to support the hypothesis that the proportion of Uniformian voters has decreased.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that there is a significant drop in allegiance to the Uniformian Party in Bowie County.

Then, the null and alternative hypothesis are:

H_0: \pi=0.62\\\\H_a:\pi

The significance level is 0.05.

The sample has a size n=196.

The sample proportion is p=0.57.

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.62*0.38}{196}}\\\\\\ \sigma_p=\sqrt{0.001202}=0.035

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.57-0.62+0.5/196}{0.035}=\dfrac{-0.047}{0.035}=-1.369

This test is a left-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z

As the P-value (0.0855) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that there is a significant drop in allegiance to the Uniformian Party in Bowie County.

6 0
3 years ago
Please help, I don't understand, please<br> -8+(-3)=
ArbitrLikvidat [17]

Answer: -11

Step-by-step explanation:

7 0
4 years ago
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What is the converse of the following statement?
Scrat [10]

Answer:

i love you

Step-by-step explanation:

5 0
3 years ago
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Flura [38]

Answer:

(3, -3) is correct

Step-by-step explanation:

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8 0
3 years ago
The supermarket has pie filling
kondor19780726 [428]

Answer:

$5.24

Step-by-step explanation:

If Mom bought 4, she bought $1.19*4=$4.76 worth of pie filling. Since she paid $10, she needs $10-$4.76=$5.24 change

5 0
3 years ago
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