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2 years ago

How do I solve this question?

Mathematics

1 answer:

Montano1993 [528]2 years ago

4 0

Answer:

p = $\frac{3}{2}$ , q = 9

Step-by-step explanation:

4x² + 12x ( factor out 4 from each term )

= 4(x² + 3x)

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + 3x

= 4(x² + 2( $\frac{3}{2}$ )x + $\frac{9}{4}$ - $\frac{9}{4}$ )

= 4(x + $\frac{3}{2}$ )² - 4 × $\frac{9}{4}$

= 4(x + $\frac{3}{2}$ )² - 9

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Can anyone one help me with this question

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3 years ago

Eighteen cement squares cover a patio with an area of 40.5m^2. What is the side length of one of the squares

Firlakuza [10]

Idk :) but the other guy answering might be able to help you. please give me a like!

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2 years ago

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zlopas [31]

Answer:

underated.jay

Step-by-step explanation:

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3 years ago

A random sample of 864 births in a state included 426 boys. Construct a 95% confidence interval estimate of the proportion of bo

oksian1 [2.3K]

Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.

<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 have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:

$n = 864, \pi = \frac{426}{864} = 0.493$

Then, the bounds of the interval are given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526$

The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

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

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2 years ago

then difference between the cubes of two numbers is twice the value of the perfect square of a possitive Intiger

PSYCHO15rus [73]

There are many solutions. But what do you mean with a perfect square of a number. I thought a number IS a perfect square or not.

For example, the difference between 2² and 4² = 12, which is twice the number 6, which is √36

The difference between 2² and 6² = 32, which is twice the number 16, which is a perfect square.

So choose depending on your interpretation of the question... ;-)

8 0

3 years ago