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NISA [10]
2 years ago
10

Devide (a2+ 7a+ 12)÷ (a+3)​

Mathematics
1 answer:
arlik [135]2 years ago
5 0

Answer:

(a - 3) • (a - 4)

Step-by-step explanation:

The first term is,  a2  its coefficient is  1 .

The middle term is,  -7a  its coefficient is  -7 .

The last term, "the constant", is  +12

Multiply the coefficient of the first term by the constant   1 • 12 = 12

Find two factors of  12  whose sum equals the coefficient of the middle term, which is   -7 .

     -12    +    -1    =    -13

     -6    +    -2    =    -8

     -4    +    -3    =    -7    That's it

Rewrite the polynomial splitting the middle term using the two factors, -4  and  -3

                    a2 - 4a - 3a - 12

Add up the first 2 terms, pulling out like factors :

                   a • (a-4)

             Add up the last 2 terms, pulling out common factors :

                   3 • (a-4)

Add up the four terms

                   (a-3)  •  (a-4)

Really hope this helps :)

           

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Answer:

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Deep explanation about a confidence interval

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

\alpha = \frac{1-0.9}{2} = 0.05

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

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In this problem:

The deep explanation is not that important.

We just have to recognize that the interval has a lower end and an upper end. The distance from both the upper and the lower end to the mean is M. This means that the sample mean is the halfway point between the lower end and the upper end.

The margin of error is the distance of these two points(lower and upper end) to the mean.

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Upper end: 3.87

Sample mean

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So the correct answer is:

b.3.55

The margin of error is

3.87 - 3.55 = 3.55 - 3.23 = 0.32

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