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enot [183]
3 years ago
13

What is the fully factored form of 32a^3 + 12a^2?

Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0

<u>Answer:</u>

4a^{2} (8a + 3)

<u>Step-by-step explanation:</u>

32a^3 + 12a^2

To factorize this, start by taking the common variable out. As we have two powers for the same variable a, we can take the smaller power of a as a common to get like shown below:

32a^3 + 12a^2

a^2 (32a + 12)

Now when you have taken the variable as a common, try and take out a common number from the coefficient of a as well:

a^2 (32a + 12)

4a^2 (8a + 3)

So, the fully factored form of 32a^3 + 12a^2 is 4a^2 (8a + 3).

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Bas_tet [7]

Using the z-distribution, as we have a proportion, the 95% confidence interval is (0.2316, 0.3112).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

We also consider that 130 out of the 479 season ticket holders spent $1000 or more at the previous two home football games, hence:

n = 479, \pi = \frac{130}{479} = 0.2714

Hence the bounds of the interval are found as follows:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 - 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.2316

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 + 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.3112

The 95% confidence interval is (0.2316, 0.3112).

More can be learned about the z-distribution at brainly.com/question/25890103

7 0
2 years ago
point is B is on AC, what us the length of AB if AC=22 and BC=13? Please help me!, I'm falling in math class!! ​
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Answer:

Step-by-step explanation:

There are two answers to this.

1.

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In which case AB = AC + BC

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2

The order is ABC (which means that B is between A and C.

AB = AC - BC

AB = 22 - 13

AB = 9

Please don't ask me what the answer is. The question does not make it  clear enough to give you one answer. I do suggest you draw a diagram to show both possibilities. Your teacher will likely applaud you for poking holes in the question.

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What is the measure of angle B in the figure below?
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Answer:

It's 45 degrees on edgen

Step-by-step explanation:

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3 years ago
(m + n)8 in its distributed form is
Mekhanik [1.2K]

Answer:Hi Step-by-step explanation:

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2 years ago
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Step-by-step explanation:

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