Find the missing factor D that makes the equality true. – 15y4 = (D)(3y?)

Mathematics

1 answer:

Murljashka [212]3 years ago

6 0

Answer:

$-15y^{4} = D(3y^{2})\\-15y^{4}/3y^{2} = -5y^{2} \\D = -5y^{2}$

Step-by-step explanation:

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The Arizona Department of Transportation wishes to survey state residents to determine what proportion of the population would l

skad [1K]

Answer:

They need to survey 4145 residents.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a p-value of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.02 of the true proportion?

This is n for which $M = 0.02$ . As we have no estimate for the proportion, we use $\pi = 0.5$ . So