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3 years ago

Six x minus three y equals negative twelve

Mathematics

1 answer:

sveta [45]3 years ago

4 0

Surely it would be -18y

Because:
6 x 3 = 18 so 6 x -3 would be -18
Then -18 x y would be -18y

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Two random samples are taken, with each group asked if they support a particular candidate. A summary of the sample sizes and pr

Minchanka [31]

Answer:

And we got $\alpha/2 =0.01$ so then the value for $\alpha=0.02$ and then the confidence level is given by: $Conf=1-0.02=0.98[/tex[ or 98%Step-by-step explanation:A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval". The margin of error is the range of values below and above the sample statistic in a confidence interval. Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean". [tex]p_1$ represent the real population proportion for 1

$\hat p_1 =0.768$ represent the estimated proportion for 1

$n_1=92$ is the sample size required for 1

$p_2$ represent the real population proportion for 2

$\hat p_2 =0.646$ represent the estimated proportion for 2

$n_2=95$ is the sample size required for 2

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_1 -\hat p_2) \pm z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}$

For this case we have the confidence interval given by: (-0.0313,0.2753). From this we can find the margin of erro on this way:

$ME= \frac{0.2753-(-0.0313)}{2}=0.1533$

And we know that the margin of erro is given by:

$ME=z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}$

We have all the values except the value for $z_{\alpha/2}$

So we can find it like this:

$0.1533=z_{\alpha/2} \sqrt{\frac{0.768(1-0.768)}{92} +\frac{0.646 (1-0.646)}{95}}$

And solving for $z_{\alpha/2}$ we got:

$z_{\alpha/2}=2.326$

And we can find the value for $\alpha/2$ with the following excel code:

"=1-NORM.DIST(2.326,0,1,TRUE)"

And we got $\alpha/2 =0.01$ so then the value for $\alpha=0.02$ and then the confidence level is given by: $Conf=1-0.02=0.98$ or 98%

7 0

3 years ago

Suppose a company claims that its jars of pickles weigh 68 ounces on average. It took many large samples, and about half the tim

Annette [7]

Step-by-step explanation:

The company's jars of pickles weigh fewer than 68 ounces on average. C. The company's jars of pickles weigh more than 68 ounces on average. D. The company's jars of pickles do not weigh 68 ounces on average.

This is the Answer

4 0

3 years ago

Can someone help me pls if u do u will be the best and on the first one and the second one

likoan [24]

Answer:

158 students voted for toby

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5 0

3 years ago

What are the possible values of x if (4x – 5)2 = 49?

STatiana [176]

2(4x - 5) = 49
8x - 10 = 49
8x - 10 + 10 = 49 + 10
8x = 59
8x/8 = 59/8
x = 7.375

3 0

3 years ago

Which expression gives the distance between the points (5, 1) and (9,-6)?

8_murik_8 [283]

9514 1404 393

Answer:

C. √((5-9)² +(1+6)²)

Step-by-step explanation:

The distance formula can be written ...

d = √((x1 -x2)² +(y1 -y2)²)

Filling in the given point coordinates, this becomes ...

d = √((5 -9)² +(1 -(-6))²)

Simplifying the signs, this becomes ...

d = √((5 -9)² +(1 +6)²) . . . . . matches choice C

8 0

3 years ago