Thomasina correctly determined two factors of 35 that differ by 2, but that is not what is needed here. For this problem, she needs two factors of 35 that have a sum of 2.* (There aren't any real-number factors that meet that condition.)

The factorization in complex numbers would be ...

= (y -1 -i√34)(y -1 +i√34)

_____

* Technically, she needs two factors of 35 with a sum of -2. Both factors would have to be negative.

8 0

3 years ago

A sample of 66 obese adults was put on a low-carb diet for a year. The average weight loss was 11 pounds and the standard deviat

Illusion [34]

Answer:

The 99% lower confidence bound for the true average weight loss is 3.98 pounds.

This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.

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:

$\alpha = \frac{1-0.99}{2} = 0.005$

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

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

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.

$M = 2.575*\frac{19}{\sqrt{66}} = 6.02$

The lower end of the interval is the sample mean subtracted by M. So it is 11 - 6.02 = 3.98 pounds

The 99% lower confidence bound for the true average weight loss is 3.98 pounds.

This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.

7 0

3 years ago

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Find the exact value of the side of a square whose<br> area is 48 in².

zimovet [89]

Answer:

6.93 in

Step-by-step explanation:

$A = s^{2}$

$48 = s^{2}$

$\sqrt{48} = \sqrt{s^{2} }$

$s = 6.92820323028 in$

8 0

3 years ago

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