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goldfiish [28.3K]
3 years ago
14

It’s urgent please help

Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0
Zero: x=0; mult: 1; Eff:Cross
Zero: x= -2; mult: 8; Eff: Bounce
Zero: x= 1/2; mult: 5; Eff: Cross
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Write the equation of the line in fully simplified slope-intercept form?​
Inessa05 [86]

Answer:

ok

Step-by-step explanation:

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3 years ago
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At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro
Gnom [1K]

Answer:

A sample of 1068 is needed.

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:

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

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.

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of \pi, so we use the worst case scenario, which is \pi = 0.5

Then

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

0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.03\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.03}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}

n = 1067.11

Rounding up

A sample of 1068 is needed.

8 0
3 years ago
Please help me I don’t understand this
Vitek1552 [10]

Answer:

14/15

Step-by-step explanation:

9/15+5/15=14/15

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The equation of a line that is parallel to y=5/6x-10 and passes through the point (12,8) is y=5/6-2.

y=5/6-2
5 0
4 years ago
Factor 4x^2+81 over the set of complex numbers.
Hunter-Best [27]

Use:\\\\i=\sqrt{-1}\to i^2=-1\\\\a^2-b^2=(a-b)(a+b)\\--------------------\\\\4x^2+81=2^2x^2+9^2=(2x)^2-(-9^2)=(2x)^2-(-1)(9^2)\\\\=(2x)^2-(i^2)(9^2)=(2x)^2-(9i)^2=\boxed{(2x-9i)(2x+9i)}

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