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viktelen [127]
3 years ago
7

Choose the constant term that completes the perfect square trinomial. y 2 + 8y

Mathematics
2 answers:
Ivenika [448]3 years ago
6 0

Answer:

16

Step-by-step explanation:

A perfect square trinomial is a three-term polynomial (also called a trinomial) that results from squareing a binomial. Every trinomial of the form: <em>a^{2} +2ab+b^{2},</em> It is a perfect square trinomial.

In this case, it is necessary to <em>divide the intermediate value of 8 by 2, and then square it, </em>obtaining the result.

White raven [17]3 years ago
4 0

8 divided by 2=4 then square the 4

16

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Answer:

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Step-by-step explanation:

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Based on historical data in Oxnard college, we believe that 37% of freshmen do not visit their counselors regularly. For this ye
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Answer:

A sample size of 1031 is required.

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}}

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This means that \pi = 0.37

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?

A sample size of n is required.

n is found when M = 0.035. So

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

0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}

0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}

\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2

n = 1030.4

Rounding up:

A sample size of 1031 is required.

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Answer:

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Step-by-step explanation:

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