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3 years ago

Explain how do you solve an equation by using zero product property?

Mathematics

1 answer:

zloy xaker [14]3 years ago

6 0

Answer:

33333333333333333333333333333333333333

Step-by-step explanation:

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–3x – 3 < –63 This is rlly needed.

NISA [10]

-3x -3 < -63 subtract the 3 first
-3x < -60 then divide the -3 from both sides
x < 20 is your answer

6 0

3 years ago

The sum of a whole number and twice the square of the number is 10. Find the number.

sveticcg [70]

Answer:

x = $\frac{10}{1 + 2x}$

Step-by-step explanation:

Let the number be x

x + 2x² = 10

Factorize x + 2x²

x(1 + 2x) = 10

Divide both sides by (1 + 2x)

x = $\frac{10}{1 + 2x}$

6 0

3 years ago

6.Suppose the Gallup Organization wants to estimate the population proportion of those who think there should be a law that woul

drek231 [11]

Answer:

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

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 zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

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

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that $n = 1012, \pi = \frac{374}{1012} = 0.3696$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

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

$E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}$

$E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}$

$\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

$n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

4 0

3 years ago

Moving left 5 units would be shown as 'x+5'<br> True<br> False

lawyer [7]

Answer:

true

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

3•x2 + 1(2)<br> (2)x-2(3)

Marina CMI [18]