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2 years ago

Y=x^2+6x-72 write the equation in vertex form

Mathematics

1 answer:

deff fn [24]2 years ago

4 0

The answer is y = 1(x + 3)^2 - 81.

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ou are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on cons

PolarNik [594]

Answer:

$(\frac{4\sigma}{2.056})^2$ , rounded up, if needed, citizens should be included in the sample, in which $\sigma$ is the standard deviation of the population.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.96}{2} = 0.02$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.02 = 0.98$ , so Z = 2.056.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Within 4 years of the actual mean

We have to find n for which M = 4. So

$M = z\frac{\sigma}{\sqrt{n}}$

$4 = 2.056\frac{\sigma}{\sqrt{n}}$

$2.056\sqrt{n} = 4\sigma$

$\sqrt{n} = \frac{4\sigma}{2.056}$

$(\sqrt{n})^2 = (\frac{4\sigma}{2.056})^2$

$n = (\frac{4\sigma}{2.056})^2$

$(\frac{4\sigma}{2.056})^2$ , rounded up, if needed, citizens should be included in the sample, in which $\sigma$ is the standard deviation of the population.

8 0

3 years ago

There are 8 cakes and we are dividing them into pieces. Each piece will be ⅕ of a cake. How many pieces will there be in all? Wr

natta225 [31]

Answer:

Step-by-step explanation:

8 piece of cakes times 5 pieces per cake = 40 pieces for the total cakes

7 0

3 years ago

The probability that a randomly selected student is on honor roll is 0.24 The probability that a randomly selected student is on

Vanyuwa [196]

Answer: 0.06

Step-by-step explanation: subtract them and you'll get your answer

7 0

3 years ago

Translate the phrase into an algebraic expression.<br> The product of 9 and y

Alenkinab [10]

Answer:9*y or 9y

Step-by-step explanation:

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3 years ago

4(x+2)-12=3(x-2) solve for x

aalyn [17]

Answer:

x= -2

Step-by-step explanation:

6 0

3 years ago