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3 years ago

10

12n +9 = 6 - 311 How many solutions does the equation have?

1 answer:

svp [43]3 years ago

7 0

Answer:

One Solution

Step-by-step explanation:

We can figure out the steps for this equation by separating the variables in the left side and the whole numbers on the right side, what you can essentially do is separate them and the equation will look like

12n = -9 + 6 -311

then,

12n = -314

which gives you, approximately

x = -26.16667.

Hope this helped!

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Which point of concurrency is always on the vertex of a right triangle

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Answer:For every right triangle, the circumcenter is always the midpoint of the hypotenuse. All four points of concurrency can themselves be concurrent! Only with an equilateral triangle will the centroid, circumcenter, incenter and orthocenter always be the same point!

Step-by-step explanation:

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3 years ago

A random sample of 400 Michigan State University (MSU) students were surveyed recently to determine an estimate for the proporti

Gre4nikov [31]

Answer:

a. .92

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

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The margin of error of the interval is:

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The lower bound is the point estimate $\pi$ subtracted by the margin of error.

The upper bound is the point estimate $\pi$ added to the margin of error.

Point estimate:

The confidence interval is symmetric, so it is the mean between the two bounds.

In this problem:

$\pi = \frac{0.372 + 0.458}{2} = 0.415$

Sample of 400, which means that $n = 400$

Margin of error is the estimate subtracted by the lower bound. So $M = 0.415 - 0.372 = 0.043$

We have to find z.

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

$0.043 = z\sqrt{\frac{0.415*0.585}{400}}$

$z = \frac{0.043\sqrt{400}}{\sqrt{0.415*0.585}}$

$z = 1.745$

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This means that:

$1 - \frac{\alpha}{2} = 0.96$

$\frac{\alpha}{2} = 1 - 0.96$

$\frac{\alpha}{2} = 0.04$

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Confidence level:

$1 - \alpha = 1 - 0.08 = 0.92$

So the correct answer is:

a. .92

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3 years ago

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4 years ago

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Answer:

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4 years ago