Which ordered pair is a solution of this

2 answers:

8 0

The answer is (-1,-2)

First, we put the equation in standard form
Add the 2x to the other side leaving us with -y = 2x +4. They y must be positive so we multiply the whole equation by -1. This gives us y = -2x - 4. We then plug the coordinates in to find out which one comes out to be true.

The only one that comes out true is (-1,-2)
-2 = -2(-1) - 4 which comes out to -2 = -2 True.

Natalija [7]3 years ago

3 0

Answer:

(-1, -2)

Step-by-step explanation:

when x = -1 and y = -2,

(-2 · -1) - (-2) = 2 + 2 = 4

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How do I work out the problem 19 divided by 5728

spin [16.1K]

19 divided by 5728 is going to be a VERY small number, are you sure you phrased that right?

3 0

3 years ago

My brother wants to estimate the proportion of Canadians who own their house.What sample size should be obtained if he wants the

AVprozaik [17]

Answer:

a) $n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

b) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

Step-by-step explanation:

Previous concepts

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".

The population proportion have the following distribution

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

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

If solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by: